332354 + Interview Questions in Secondary School in Math

1.	The length of a rectangular play ground is 75m and it's breadth is 50m.Rupali walk four rounds. How manykilometres did she walk?
Answer» stion ::- The length of a RECTANGULAR PLAY ground is 75m and it's breadth is 50m RUPALI walk four rounds. How many kilometres did she walk? Given ::- Length of rectangle = 75 m Breadth of rectangle = 50 m To find ::- Find the perimeter of rectangle ? Solution ::- Rupali WALKS around rectangular park , i.e. It's perimeter. She TAKE four rounds. Perimeter = 2 (length + breadth ) Perimeter = 2 ( 75 + 50 ) Perimeter = 2 × 125 Perimeter = 250 _______________ Total distance Rupali cover = 4 × 250 = 1000 m = 1Km

1.

The length of a rectangular play ground is 75m and it's breadth is 50m.Rupali walk four rounds. How manykilometres did she walk?

Answer»

stion ::-

The length of a RECTANGULAR PLAY ground is 75m and it's breadth is 50m RUPALI walk four rounds. How many kilometres did she walk?

Given ::-

Length of rectangle = 75 m

Breadth of rectangle = 50 m

To find ::-

Find the perimeter of rectangle ?

Solution ::-

Rupali WALKS around rectangular park , i.e. It's perimeter. She TAKE four rounds.

Perimeter = 2 (length + breadth )

Perimeter = 2 ( 75 + 50 )

Perimeter = 2 × 125

Perimeter = 250

_______________

Total distance Rupali cover = 4 × 250

= 1000 m = 1Km

Discussion

2.	Show that andare equivalent rational numbers
Answer» ONG>ANSWER: $\frac{42}{ - 72}$ = $\frac{8}{ - 14}$ HOPE it HELPS

2.

Show that andare equivalent rational numbers

Answer» ONG>ANSWER:

$\frac{4*2}{ - 7*2}$ = $\frac{8}{ - 14}$

HOPE it HELPS

Discussion

3.	The domain of the function f(x) = sin-¹[log (x/2)] is (a) [1,4](b) (-4, 1](c) (-1,4](d) None of these
Answer» ONG>Answer: (C) (-1,4] I HOPE this is HELPFUL for you

3.

The domain of the function f(x) = sin-¹[log (x/2)] is (a) [1,4](b) (-4, 1](c) (-1,4](d) None of these

Answer» ONG>Answer:

(C) (-1,4]

I HOPE this is HELPFUL for you

Discussion

4.	A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.
Answer» ong>Step-by-step EXPLANATION: jwb A dice was cast 40 times and each SCORE NOTED is given below. DRAW up a frequency table for this data.

4.

A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.

Answer»

ong>Step-by-step EXPLANATION:

jwb

A dice was cast 40 times and each SCORE NOTED is given below. DRAW up a frequency

table for this data.

Discussion

5.	16 सेमी बाजू असलेल्या चौरसाच्या कर्णाची लांबी काढा
Answer» ONG>ANSWER: $16 \sqrt{2}$

5.

16 सेमी बाजू असलेल्या चौरसाच्या कर्णाची लांबी काढा

Answer» ONG>ANSWER:

$16 \sqrt{2}$

Discussion

6.	उताऱ्याच्या आधारे सूचनेनुसार कृती करा आजीच कटक्ष असायचं त्या दोन गोष्टी
Answer» ONG>ANSWER: g6sceyvgtvceccee bbxencxegmts

Discussion

7.	If α and β are the zeroes of the polynomial x²-3x-1, find the value of α+β+αβ
Answer» ONG>Answer: CD VA HD HD HD be CD jaw IFHF. fbfgvbtbbgbfcg

Discussion

8.	3/12 can be written as 3+1/2
Answer» ONG>ANSWER: This STATEMENT is FALSE, So this statement is false

Discussion

9.	Pythagoras property is (Hypotenuse) 2 = (Side 1)2 + (Side 2)2. True Or False.✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏tu or sister Aankhe khol ke Sapna Dekh liya kiya
Answer» ong>Answer: itna TARAS nhi aata HAI mujhe ki ZINDAGI kharab karlu shock nhi Step-by-step explanation:

9.

Pythagoras property is (Hypotenuse) 2 = (Side 1)2 + (Side 2)2. True Or False.✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏tu or sister Aankhe khol ke Sapna Dekh liya kiya

Answer»

ong>Answer:

itna TARAS nhi aata HAI mujhe

ki ZINDAGI kharab karlu

shock nhi

Step-by-step explanation:

Discussion

10.	X/2=-39 answers pless
Answer» ONG>ANSWER: x= 2 × -39 = -78. Step-by-step explanation:

10.

X/2=-39 answers pless

Answer» ONG>ANSWER:

x= 2 × -39 = -78.

Step-by-step explanation:

Discussion

11.	In the given figure if ab\|\|cd , fe perpendicular cd and angle ged =136 find the value of angle gfd
Answer» ONG>ANSWER: ठतैगज्ञज्ञबररग थठररगदफथ ठझझबझरगज्ञज्ञड

Discussion

12.	नाइंथ स्टैंडर्ड अलजेब्रा hi
Answer» ONG>ANSWER: HI sjudhh snjyvvski kosuehb jskklaoj jsjheh

Discussion

13.	Find the value of sin theta if 6 cos ^2 theta=4 (1/2)
Answer» The VALUE is $\sin\theta=\pm \ frac{1}{2}$ .Step-by-step EXPLANATION:GIVEN : EXPRESSION $6\cos^2\theta=4\frac{1}{2}$ To FIND

Discussion

14.	Find a vector whose length is 2 which is orthogonal to the vector v=⟨2,1⟩
Answer» ONG>ANSWER: V<5,2> is the required vector

Discussion

15.	Simplify 2×3⁴×2⁵/3²×(2²)²I'll mark brainliest solve please
Answer» $\frac{2 \times {3}^{4} \times {2}^{5} }{ {3}^{2} \times {( {2}^{2}) }^{2} } \\ = \frac{ {3}^{4} \times {2}^{6} }{ {3}^{2} \times {2}^{4} } \\ = {3}^{4 - 2} \times {2}^{6 - 4} \\ = {3}^{2} \times {2}^{2} \\ = 9 \times 4 \\ = 36$ MARK as the BRAINLIEST

15.

Simplify 2×3⁴×2⁵/3²×(2²)²I'll mark brainliest solve please

Answer»

$\frac{2 \times {3}^{4} \times {2}^{5} }{ {3}^{2} \times {( {2}^{2}) }^{2} } \\ = \frac{ {3}^{4} \times {2}^{6} }{ {3}^{2} \times {2}^{4} } \\ = {3}^{4 - 2} \times {2}^{6 - 4} \\ = {3}^{2} \times {2}^{2} \\ = 9 \times 4 \\ = 36$

MARK as the BRAINLIEST

Discussion

16.	(3 + 5 i )( 4- 2 i ) = ___
Answer» ONG>Answer: 22+14i Step-by-step EXPLANATION:

16.

(3 + 5 i )( 4- 2 i ) = ___

Answer» ONG>Answer:

22+14i

Step-by-step EXPLANATION:

Discussion

17.	अपने जिले में सामाजिक कार्य करने वाली किसी संस्था का परिचय निम्न मुद्दों के आधार पर प्राप्त करके टिप्पणी बनाइए :-
Answer» ONG>ANSWER: jyfmgfwdcgjyggwxffh Step-by-step EXPLANATION: khchtdtykfudhmhrkdthxkkthdhrkdthkcrytdhrkdtylrykdrodryodffyjytddhkdtydhtdtykdykdjrgkdrydkdhfhdhodkyf

17.

अपने जिले में सामाजिक कार्य करने वाली किसी संस्था का परिचय निम्न मुद्दों के आधार पर प्राप्त करके टिप्पणी बनाइए :-

Answer» ONG>ANSWER:

jyfmgfwdcgjyggwxffh

Step-by-step EXPLANATION:

khchtdtykfudhmhrkdthxkkthdhrkdthkcrytdhrkdtylrykdrodryodffyjytddhkdtydhtdtykdykdjrgkdrydkdhfhdhodkyf

Discussion

18.	The sum of a number and twice that number is 69. What is the number?13846.634.523
Answer» ONG>Answer: 34.5 Step-by-step EXPLANATION: pls mark me as BRAINLIEST

18.

The sum of a number and twice that number is 69. What is the number?13846.634.523

Answer» ONG>Answer:

34.5

Step-by-step EXPLANATION:

pls mark me as BRAINLIEST

Discussion

19.	Simplify. : using (6x + 3y)^2 + (6x-3y )^2
Answer» ONG>ANSWER: no I don't THINK I should have been here

Discussion

20.	2). The length of a rectangular play ground is 75m and it's breadth is som.Rupali walk four rounds. Howmarykilometres did she walk?
Answer» ong>ANSWER: PLS Mark me as the BRAINLEST and folow me

20.

2). The length of a rectangular play ground is 75m and it's breadth is som.Rupali walk four rounds. Howmarykilometres did she walk?

Answer»

ong>ANSWER:

PLS Mark me as the BRAINLEST and folow me

Discussion

21.	मुलाच्या जन्माच्या वेळी अनंताचे वय 32 वर्ष होते 5 वर्षानंतर अनंताचे वय त्याच्या मुलाचा टिपट्ट होईल तर तर अनंता व त्याच्या मुलाची अनुक्रमे अनुक्रमे वय किती
Answer» ONG>Answer: 1) 43,11 वर्षे 2) HOPES its HELPFUL to you Step-by-step explanation: 1)

21.

मुलाच्या जन्माच्या वेळी अनंताचे वय 32 वर्ष होते 5 वर्षानंतर अनंताचे वय त्याच्या मुलाचा टिपट्ट होईल तर तर अनंता व त्याच्या मुलाची अनुक्रमे अनुक्रमे वय किती

Answer» ONG>Answer:

1)

43,11 वर्षे

2)

HOPES its HELPFUL to you

Step-by-step explanation:

1)

Discussion

22.	2,6,4,9,8,13,16,18,32,?
Answer» ONG>ANSWER: this is your answer BYYY

22.

2,6,4,9,8,13,16,18,32,?

Answer» ONG>ANSWER:

this is your answer BYYY

Discussion

23.	(1-x) (1+x+x²) plz answer fast
Answer» ER is 3 BECOUSE X is 1

Discussion

24.	Root -3 root -6 equal to
Answer» ONG>ANSWER: QUESTION is not PROPER.

24.

Root -3 root -6 equal to

Answer» ONG>ANSWER:

QUESTION is not PROPER.

Discussion

25.	Factorize the following algebraic expression : 6x²+8x+12yx
Answer» ong>ANSWER: SORRY I don't know the answer PLEASE mark as BRAINLIST answer and THANK you for the answer

25.

Factorize the following algebraic expression : 6x²+8x+12yx

Answer»

ong>ANSWER:

SORRY I don't know the answer

PLEASE mark as BRAINLIST answer and THANK you for the answer

Discussion

26.	Why the earth weight is increased day by day?
Answer» ong>Answer: Another much less significant reason the planet is gaining mass is because of global WARMING. Nasa has calculated that the EARTH is gaining energy due to rising temperatures. Dr SMITH and his colleague Mr Ansell ESTIMATE this added energy increases the mass of Earth by a tiny amount - 160 tonnes.

26.

Why the earth weight is increased day by day?

Answer»

ong>Answer:

Another much less significant reason the planet is gaining mass is because of global WARMING. Nasa has calculated that the EARTH is gaining energy due to rising temperatures. Dr SMITH and his colleague Mr Ansell ESTIMATE this added energy increases the mass of Earth by a tiny amount - 160 tonnes.

Discussion

27.	Please answer me i want this answer
Answer» E is your ANSWER in the ATTACHMENT

Discussion

28.	How many bones are in spinal cord ? a) 22 b) 32 c) 42 d)24
Answer» ong>ANSWER: there is 32 BONES in SPINAL cord. hopwme its HELPFUL

28.

How many bones are in spinal cord ? a) 22 b) 32 c) 42 d)24

Answer»

ong>ANSWER:

there is 32 BONES in SPINAL cord.

hopwme its HELPFUL

Discussion

29.	Sin⁴A - cos⁴A = 2sin²A-1 prove that
Answer» $\large\underline{\sf{Solution-}}$ Identities used :- $\boxed{ \bf{ \: {x}^{2} - {y}^{2} = (x + y)(x - y)}}$ $\boxed{ \bf{ \: {sin}^{2} x + {cos}^{2} x = 1}}$ LET's solve the problem now!! Consider, $\rm :\longmapsto\: {sin}^{4}A - {cos}^{4}A$ $\rm :\longmapsto\: = \: {\bigg( {sin}^{2}A \bigg) }^{2} - {\bigg( {cos}^{2}A \bigg) }^{2}$ $\rm :\longmapsto\: = \: ( {sin}^{2} A + {cos}^{2} A)( {sin}^{2} A - {cos}^{2} A)$ $\rm :\longmapsto\: = \: 1 \times \bigg( {sin}^{2} A - (1 - {sin}^{2}A) \bigg)$ $\rm :\longmapsto\: = \: 2 {sin}^{2} A - 1$ ${\boxed{\boxed{\bf{Hence, Proved}}}}$ Additional Information:- Relationship between SIDES and T ratios sin θ = Opposite Side/Hypotenuse cos θ = Adjacent Side/Hypotenuse tan θ = Opposite Side/Adjacent Side SEC θ = Hypotenuse/Adjacent Side cosec θ = Hypotenuse/Opposite Side cot θ = Adjacent Side/Opposite Side Reciprocal Identities cosec θ = 1/sin θ sec θ = 1/cos θ cot θ = 1/tan θ sin θ = 1/cosec θ cos θ = 1/sec θ tan θ = 1/cot θ Co-function Identities sin (90°−x) = cos x cos (90°−x) = sin x tan (90°−x) = cot x cot (90°−x) = tan x sec (90°−x) = cosec x cosec (90°−x) = sec x Fundamental Trigonometric Identities sin²θ + cos²θ = 1 sec²θ - tan²θ = 1 cosec²θ - cot²θ = 1

29.

Sin⁴A - cos⁴A = 2sin²A-1 prove that

Answer»

$\large\underline{\sf{Solution-}}$

Identities used :-

$\boxed{ \bf{ \: {x}^{2} - {y}^{2} = (x + y)(x - y)}}$

$\boxed{ \bf{ \: {sin}^{2} x + {cos}^{2} x = 1}}$

LET's solve the problem now!!

Consider,

$\rm :\longmapsto\: {sin}^{4}A - {cos}^{4}A$

$\rm :\longmapsto\: = \: {\bigg( {sin}^{2}A \bigg) }^{2} - {\bigg( {cos}^{2}A \bigg) }^{2}$

$\rm :\longmapsto\: = \: ( {sin}^{2} A + {cos}^{2} A)( {sin}^{2} A - {cos}^{2} A)$

$\rm :\longmapsto\: = \: 1 \times \bigg( {sin}^{2} A - (1 - {sin}^{2}A) \bigg)$

$\rm :\longmapsto\: = \: 2 {sin}^{2} A - 1$

${\boxed{\boxed{\bf{Hence, Proved}}}}$

Additional Information:-

Relationship between SIDES and T ratios

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

SEC θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Reciprocal Identities

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

Co-function Identities

sin (90°−x) = cos x

cos (90°−x) = sin x

tan (90°−x) = cot x

cot (90°−x) = tan x

sec (90°−x) = cosec x

cosec (90°−x) = sec x

Fundamental Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Discussion

30.	Find the compound interest on ₹16000 for 2 years at 5%
Answer» ution!!<P> The concept of compound interest has to be used here. The principal, rate of interest and time is given. We have to find the compound interest. LET's find it without the formula first!! For 1st year Principal (P) = Rs 16000 Time (T) = 2 year yearRate of interest (R) = 5% Interest = (P × R × T)/100 Interest = (16000 × 5 × 1)/100 Interest = Rs 800 Amount = Principal + Interest Amount = Rs 16000 + Rs 800 Amount = Rs 16800 The amount in the 1st year is the principal of the 2nd year. For 2nd year Principal (P) = Rs 16800 Time (T) = 1 year Rate of interest (R) = 5% Interest = (P × R × T)/100 Interest = (16800 × 5 × 1)/100 Interest = Rs 840 Amount = Principal + Interest Amount = Rs 16800 + Rs 840 Amount = Rs 17640 Compound interest = Rs 800 + Rs 840 Compound interest = Rs 1640 Now, let's solve this using formula!! Principal (P) = Rs 16000 Time (N) = 2 year Rate of interest (R) = 5% Amount = P(1 + (R/100))² Here 2 is the time (n). Amount = 16000(1 + (5/100))² Amount = 16000(105/100)² Amount = 16000(21/20)² Amount = 16000 × (21/20) × (21/20) Amount = 160 × (21/2) × (21/2) Amount = 40 × 21 × 21 Amount = Rs 17640 CI = Amount - Principal CI = Rs 17640 - Rs 16000 CI = Rs 1640 Compound interest = Rs 1640

30.

Find the compound interest on ₹16000 for 2 years at 5%

Answer»

ution!!<P>

The concept of compound interest has to be used here. The principal, rate of interest and time is given. We have to find the compound interest. LET's find it without the formula first!!

For 1st year

Principal (P) = Rs 16000

Time (T) = 2 year

yearRate of interest (R) = 5%

Interest = (P × R × T)/100

Interest = (16000 × 5 × 1)/100

Interest = Rs 800

Amount = Principal + Interest

Amount = Rs 16000 + Rs 800

Amount = Rs 16800

The amount in the 1st year is the principal of the 2nd year.

For 2nd year

Principal (P) = Rs 16800

Time (T) = 1 year

Rate of interest (R) = 5%

Interest = (P × R × T)/100

Interest = (16800 × 5 × 1)/100

Interest = Rs 840

Amount = Principal + Interest

Amount = Rs 16800 + Rs 840

Amount = Rs 17640

Compound interest = Rs 800 + Rs 840

Compound interest = Rs 1640

Now, let's solve this using formula!!

Principal (P) = Rs 16000

Time (N) = 2 year

Rate of interest (R) = 5%

Amount = P(1 + (R/100))²

Here 2 is the time (n).

Amount = 16000(1 + (5/100))²

Amount = 16000(105/100)²

Amount = 16000(21/20)²

Amount = 16000 × (21/20) × (21/20)

Amount = 160 × (21/2) × (21/2)

Amount = 40 × 21 × 21

Amount = Rs 17640

CI = Amount - Principal

CI = Rs 17640 - Rs 16000

CI = Rs 1640

Compound interest = Rs 1640

Discussion

31.	Don't compare yourself we others be like the sun and moon shine when ever needed who liked the quotation
Answer» ️ I LIKED your QUOTES (◕ᴗ◕✿)

31.

Don't compare yourself we others be like the sun and moon shine when ever needed who liked the quotation

Answer»

️ I LIKED your QUOTES

(◕ᴗ◕✿)

Discussion

32.	13. The conjugate of complex number 7 i -2 is ___
Answer» is the answer Hope this HELPS you please LIKE the answer and MARK the brainliest

32.

13. The conjugate of complex number 7 i -2 is ___

Answer»

is the answer

Hope this HELPS you please LIKE the answer and MARK the brainliest

Discussion

33.	. In the given figure, if AC =12 cm, BC =6 cm and AD = 8 cm, then area of A ABC and valueof 'h' are\|12 cmhC6cmIbD(a) 22 sq.cm and 6 cm (b) 23 sq.cm and 4 cm(c) 24 sq.cm and 4 cm (d) 24 sq.cm and 6 cm
Answer» ONG>Step-by-step EXPLANATION: option C is the correct answer

33.

. In the given figure, if AC =12 cm, BC =6 cm and AD = 8 cm, then area of A ABC and valueof 'h' are|12 cmhC6cmIbD(a) 22 sq.cm and 6 cm (b) 23 sq.cm and 4 cm(c) 24 sq.cm and 4 cm (d) 24 sq.cm and 6 cm

Answer» ONG>Step-by-step EXPLANATION:

option C is the

correct answer

Discussion

34.	Differentiate x+cosx/tanx w.r.t.x
Answer» $\large\underline{\sf{Solution-}}$ $\sf \: \: \: \: Let \: y = \dfrac{x + cosx}{tanx}$ On differentiating both sides W. r. t. x, we get $\sf \: \dfrac{d}{dx}y = \: \: \: \dfrac{d}{dx} \bigg(\dfrac{x + cosx}{tanx} \bigg)$ We KNOW that $\: \: \: \: \: \: \: \: \boxed{ \sf{ \: \dfrac{d}{dx} \dfrac{<klux>U</klux>}{<klux>V</klux>} = \dfrac{v\dfrac{d}{dx} u - u\dfrac{d}{dx} v}{ {v}^{2} } }}$ Here, u = x + cosx and v = tanx On substituting all these VALUES, we get $\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx \: \dfrac{d}{dx} (x + cosx) - (x + cosx)\dfrac{d}{dx} tanx}{ {tan}^{2}x }$ Now, we know that $\boxed{ \sf\dfrac{d}{dx} x = 1} \: and \: \boxed{ \sf\dfrac{d}{dx} cosx = - sinx} \: and \: \boxed{ \sf\dfrac{d}{dx} tanx = {sec}^{2}x }$ So, $\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx(1 - sinx) - (x + cosx) {sec}^{2} x}{ {tan}^{2} x}$ $\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx(1 - sinx)}{ {tan}^{2}x } - \dfrac{(x + cosx) {sec}^{2}x }{ {tan}^{2} x}$ $\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{1 - sinx}{tanx} - \dfrac{x + cosx}{ {sin}^{2} x}$ $\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{1}{ {tan}x } - \dfrac{sinx}{tanx} - \dfrac{x}{ {sin}^{2}x } - \dfrac{cosx}{ {sin}^{2}x }$ $\sf \: \dfrac{dy}{dx} = \: \: \: cotx - cosx - x {cosec}^{2}x - cotx \: cosecx$ ─━─━─━─━─━─━─━─━─━─━─━─━─ Additional Information :- $\boxed{ \sf\dfrac{d}{dx} {x}^{n} = {nx}^{n - 1} }$ $\boxed{ \sf\dfrac{d}{dx} logx = \dfrac{1}{x} }$ $\boxed{ \sf\dfrac{d}{dx} {e}^{x} = {e}^{x} }$ $\boxed{ \sf\dfrac{d}{dx} sinx = cosx}$ $\boxed{ \sf\dfrac{d}{dx} cotx = - {cosec}^{2}x }$ $\boxed{ \sf\dfrac{d}{dx} secx = secx \: tanx}$ $\boxed{ \sf\dfrac{d}{dx} k = 0}$ $\boxed{ \sf\dfrac{d}{dx} kf(x) = k\dfrac{d}{dx} f(x)}$ $\boxed{ \sf\dfrac{d}{dx} u.v = v\dfrac{d}{dx} u \: + \: u\dfrac{d}{dx} v}$

34.

Differentiate x+cosx/tanx w.r.t.x

Answer»

$\large\underline{\sf{Solution-}}$

$\sf \: \: \: \: Let \: y = \dfrac{x + cosx}{tanx}$

On differentiating both sides W. r. t. x, we get

$\sf \: \dfrac{d}{dx}y = \: \: \: \dfrac{d}{dx} \bigg(\dfrac{x + cosx}{tanx} \bigg)$

We KNOW that

$\: \: \: \: \: \: \: \: \boxed{ \sf{ \: \dfrac{d}{dx} \dfrac{<klux>U</klux>}{<klux>V</klux>} = \dfrac{v\dfrac{d}{dx} u - u\dfrac{d}{dx} v}{ {v}^{2} } }}$

Here,

u = x + cosx

and

v = tanx

On substituting all these VALUES, we get

$\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx \: \dfrac{d}{dx} (x + cosx) - (x + cosx)\dfrac{d}{dx} tanx}{ {tan}^{2}x }$

Now,

we know that

$\boxed{ \sf\dfrac{d}{dx} x = 1} \: and \: \boxed{ \sf\dfrac{d}{dx} cosx = - sinx} \: and \: \boxed{ \sf\dfrac{d}{dx} tanx = {sec}^{2}x }$

So,

$\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx(1 - sinx) - (x + cosx) {sec}^{2} x}{ {tan}^{2} x}$

$\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{tanx(1 - sinx)}{ {tan}^{2}x } - \dfrac{(x + cosx) {sec}^{2}x }{ {tan}^{2} x}$

$\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{1 - sinx}{tanx} - \dfrac{x + cosx}{ {sin}^{2} x}$

$\sf \: \dfrac{dy}{dx} = \: \: \: \dfrac{1}{ {tan}x } - \dfrac{sinx}{tanx} - \dfrac{x}{ {sin}^{2}x } - \dfrac{cosx}{ {sin}^{2}x }$

$\sf \: \dfrac{dy}{dx} = \: \: \: cotx - cosx - x {cosec}^{2}x - cotx \: cosecx$

─━─━─━─━─━─━─━─━─━─━─━─━─

Additional Information :-

$\boxed{ \sf\dfrac{d}{dx} {x}^{n} = {nx}^{n - 1} }$

$\boxed{ \sf\dfrac{d}{dx} logx = \dfrac{1}{x} }$

$\boxed{ \sf\dfrac{d}{dx} {e}^{x} = {e}^{x} }$

$\boxed{ \sf\dfrac{d}{dx} sinx = cosx}$

$\boxed{ \sf\dfrac{d}{dx} cotx = - {cosec}^{2}x }$

$\boxed{ \sf\dfrac{d}{dx} secx = secx \: tanx}$

$\boxed{ \sf\dfrac{d}{dx} k = 0}$

$\boxed{ \sf\dfrac{d}{dx} kf(x) = k\dfrac{d}{dx} f(x)}$

$\boxed{ \sf\dfrac{d}{dx} u.v = v\dfrac{d}{dx} u \: + \: u\dfrac{d}{dx} v}$

Discussion

35.	Simplify. :(6x + 3y)^2 + (6x-3y )^2
Answer» ONG>Answer: 72x² + 18y² Step-by-step EXPLANATION:

35.

Simplify. :(6x + 3y)^2 + (6x-3y )^2

Answer» ONG>Answer:

72x² + 18y²

Step-by-step EXPLANATION:

Discussion

36.	The simplified form of (xy^m)^nhelp me fast
Answer» ong>Answer: MITOCHONDRIA are membrane-bound cell organelles (MITOCHONDRION, singular) that generate most of the chemical energy needed to power the cell's biochemical reactions. Chemical energy produced by the mitochondria is stored in a small molecule CALLED ADENOSINE triphosphate (ATP).

36.

The simplified form of (xy^m)^nhelp me fast

Answer»

ong>Answer:

MITOCHONDRIA are membrane-bound cell organelles (MITOCHONDRION, singular) that generate most of the chemical energy needed to power the cell's biochemical reactions. Chemical energy produced by the mitochondria is stored in a small molecule CALLED ADENOSINE triphosphate (ATP).

Discussion

37.	(x+y) (x-y)muliplty
Answer» ONG>ANSWER: Your answer is X^2 - y^2. Step-by-step EXPLANATION: (x + y) (x - y) = x^2 - y^2

37.

(x+y) (x-y)muliplty

Answer» ONG>ANSWER:

Your answer is X^2 - y^2.

Step-by-step EXPLANATION:

(x + y) (x - y) = x^2 - y^2

Discussion

38.	Factorise 63 x2 – 112 y2
Answer» ONG>ANSWER: gsfsgiffsggddiysdtdyDyfh

Discussion

39.	ה appesThe ration between the curved surface area and the total surcylinder is 1:2 Find the ratio between the height and radius of cylinder
Answer» ong>Answer: 1:1 Step-by-step explanation: all the EXPLAINATIONS are GIVEN in the IMAGE attached. have a NICE day!!! :)

39.

ה appesThe ration between the curved surface area and the total surcylinder is 1:2 Find the ratio between the height and radius of cylinder

Answer»

ong>Answer:

1:1

Step-by-step explanation:

all the EXPLAINATIONS are GIVEN in the IMAGE attached.

have a NICE day!!! :)

Discussion

40.	3 7 8 4/6, 5/6, 3/6, 2/6unlike fractionsWrite the reciprocal (multiplicative inverse) of the following.a) 4 1/45/tf) 91/9e) 12/35_35 112b) 1/5c) 34/45g) 2/4d) 55/76
Answer» ong>Answer: xngvxvkdkknsbcv hdjhvjd to the store and buy the tickets for The courier CHARGES for this YEAR and the year is going to TAKE care of her right now and it's a lot easier than email to you and yours too much for me even more emails from me either end even THOUGH we

40.

3 7 8 4/6, 5/6, 3/6, 2/6unlike fractionsWrite the reciprocal (multiplicative inverse) of the following.a) 4 1/45/tf) 91/9e) 12/35_35 112b) 1/5c) 34/45g) 2/4d) 55/76

Answer»

ong>Answer:

xngvxvkdkknsbcv hdjhvjd to the store and buy the tickets for The courier CHARGES for this YEAR and the year is going to TAKE care of her right now and it's a lot easier than email to you and yours too much for me even more emails from me either end even THOUGH we

Discussion

41.	The frequency is 9 written symbolically as using. Tally marks
Answer» ONG>ANSWER: Please GO through the attachment Step-by-step EXPLANATION: make me brainliest

41.

The frequency is 9 written symbolically as using. Tally marks

Answer» ONG>ANSWER:

Please GO through the attachment

Step-by-step EXPLANATION:

make me brainliest

Discussion

42.	Evalate the following...please help me in this..
Answer» ONG>Answer: 1. 7.4 2. 0.71 3. 9.55 4. 14.18

42.

Evalate the following...please help me in this..

Answer» ONG>Answer:

1. 7.4

2. 0.71

3. 9.55

4. 14.18

Discussion

43.	3. After a discount of 12% a TV is available for Rs. 26.400. If thediscount is 3% more, price of TV is Rs.25,500. Then the original price of TVis
Answer» ONG>Answer: on 12% DISCOUNT original PRICE is 30.000 on 3%more i.e. on15% original price is 30.000

43.

3. After a discount of 12% a TV is available for Rs. 26.400. If thediscount is 3% more, price of TV is Rs.25,500. Then the original price of TVis

Answer» ONG>Answer:

on 12% DISCOUNT original PRICE is 30.000

on 3%more i.e. on15% original price is 30.000

Discussion

44.	If anyone know the ans pls help class 10 chapter 6. Question 10
Answer» is the ANSWER for the QUESTION

44.

If anyone know the ans pls help class 10 chapter 6. Question 10

Answer»

is the ANSWER for the QUESTION

Discussion

45.	Solve graphically= y≤3
Answer» ong>Answer: The set of inequalities are GIVEN as, x≥3 y≥2 The equation x=3 will give a straight LINE and SINCE 0≥3 is not true, so the graph will be shaded AWAY the ORIGIN. In the same way, y=2 will give a straight line and since 0≥2 is not true, so the graph will be shaded away the origin.

45.

Solve graphically= y≤3

Answer»

ong>Answer:

The set of inequalities are GIVEN as,

x≥3

y≥2

The equation x=3 will give a straight LINE and SINCE 0≥3 is not true, so the graph will be shaded AWAY the ORIGIN.

In the same way, y=2 will give a straight line and since 0≥2 is not true, so the graph will be shaded away the origin.

Discussion

46.	In an isosceles ∆ABC
Answer» ONG>Answer: FIRST ot COULD be subracted

Discussion

47.	7 Find Discriminant of 3x2+7x-5 = 0 3
Answer» E ×two =SIX +seven = thirteen ×five = Fourty ONE

Discussion

48.	The value of 1+i¹⁰+i¹⁰⁰+i¹⁰⁰⁰ is ___
Answer» ONG>ANSWER: pls Mark this BRAINLIEST please

Discussion

49.	Urgent please please
Answer» ONG>ANSWER: this should be the answer23,29,31 and 37

Discussion

50.	(iv) In the figure, BC -7, BD-3 Write the ratioAL A ABD)ALL ABC)) Complete and write any two of the following activities :) Observe the figure and complete the following activity.In A ABC and AEDC,ZABC = 24 (Each measures 46°)2C=C2..A ABC-AEtest for similarity)
Answer» ong>Answer: Why you copy will automatically SHOW herePin copied TEXT SNIPPETS नमस्ते है कि कि तो वह अपनी ही बनाई जा सकती थी और यह सब कुछ तो अपनी ही पार्टी के तीन प्रमुख हैं तो तो वे अपने भी Text you copy will automatically show here के साथ ही r o Sweet girl college i Sweet girl के. .. वी Sweet girl kmki Why you are नमस्ते है तो Why you are boreeld girl के बाद Why you are नमस्ते

50.

(iv) In the figure, BC -7, BD-3 Write the ratioAL A ABD)ALL ABC)) Complete and write any two of the following activities :) Observe the figure and complete the following activity.In A ABC and AEDC,ZABC = 24 (Each measures 46°)2C=C2..A ABC-AEtest for similarity)

Answer»

ong>Answer:

Why you copy will automatically SHOW herePin copied TEXT SNIPPETS नमस्ते है कि कि तो वह अपनी ही बनाई जा सकती थी और यह सब कुछ तो अपनी ही पार्टी के तीन प्रमुख हैं तो तो वे अपने भी

Text you copy will automatically show here के साथ ही r o

Sweet girl college i

Sweet girl के.

..

वी

Sweet girl
kmki

Why you are नमस्ते है तो
Why you are boreeld girl के बाद
Why you are नमस्ते

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The length of a rectangular play ground is 75m and it's breadth is 50m.Rupali walk four rounds. How manykilometres did she walk?​

Given ::-

To find ::-

Solution ::-

_______________

Show that andare equivalent rational numbers ​

The domain of the function f(x) = sin-¹[log (x/2)] is (a) [1,4](b) (-4, 1](c) (-1,4](d) None of these​

A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.​

16 सेमी बाजू असलेल्या चौरसाच्या कर्णाची लांबी काढा​

उताऱ्याच्या आधारे सूचनेनुसार कृती करा आजीच कटक्ष असायचं त्या दोन गोष्टी​

If α and β are the zeroes of the polynomial x²-3x-1, find the value of α+β+αβ

3/12 can be written as 3+1/2​

Pythagoras property is (Hypotenuse) 2 = (Side 1)2 + (Side 2)2. True Or False.✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏tu or sister Aankhe khol ke Sapna Dekh liya kiya ​

X/2=-39 answers pless​

In the given figure if ab||cd , fe perpendicular cd and angle ged =136 find the value of angle gfd​

ठतैगज्ञज्ञबररग थठररगदफथ ठझझबझरगज्ञज्ञड

नाइंथ स्टैंडर्ड अलजेब्रा hi​

Find the value of sin theta if 6 cos ^2 theta=4 (1/2)​

The VALUE is .Step-by-step EXPLANATION:GIVEN : EXPRESSION To FIND

Find a vector whose length is 2 which is orthogonal to the vector v=⟨2,1⟩

Simplify 2×3⁴×2⁵/3²×(2²)²I'll mark brainliest solve please​

(3 + 5 i )( 4- 2 i ) = ___​

अपने जिले में सामाजिक कार्य करने वाली किसी संस्था का परिचय निम्न मुद्दों के आधार पर प्राप्त करके टिप्पणी बनाइए :-​

The sum of a number and twice that number is 69. What is the number?13846.634.523​

Simplify. : using (6x + 3y)^2 + (6x-3y )^2​

2). The length of a rectangular play ground is 75m and it's breadth is som.Rupali walk four rounds. Howmarykilometres did she walk?​

2,6,4,9,8,13,16,18,32,?​

(1-x) (1+x+x²) plz answer fast ​

Root -3 root -6 equal to​

Factorize the following algebraic expression : 6x²+8x+12yx​

Why the earth weight is increased day by day?​

Please answer me i want this answer​

How many bones are in spinal cord ? a) 22 b) 32 c) 42 d)24

Sin⁴A - cos⁴A = 2sin²A-1 prove that​

Identities used :-

LET's solve the problem now!!

Additional Information:-

Relationship between SIDES and T ratios

Reciprocal Identities

Co-function Identities

Fundamental Trigonometric Identities

Find the compound interest on ₹16000 for 2 years at 5%​

For 1st year

For 2nd year

Don't compare yourself we others be like the sun and moon shine when ever needed who liked the quotation ​

13. The conjugate of complex number 7 i -2 is ___​

. In the given figure, if AC =12 cm, BC =6 cm and AD = 8 cm, then area of A ABC and valueof 'h' are|12 cmhC6cmIbD(a) 22 sq.cm and 6 cm (b) 23 sq.cm and 4 cm(c) 24 sq.cm and 4 cm (d) 24 sq.cm and 6 cm​

Differentiate x+cosx/tanx w.r.t.x​

Additional Information :-

Simplify. :(6x + 3y)^2 + (6x-3y )^2​

The simplified form of (xy^m)^nhelp me fast​

(x+y) (x-y)muliplty​

Factorise 63 x2 – 112 y2

ה appesThe ration between the curved surface area and the total surcylinder is 1:2 Find the ratio between the height and radius of cylinder​

3 7 8 4/6, 5/6, 3/6, 2/6unlike fractionsWrite the reciprocal (multiplicative inverse) of the following.a) 4 1/45/tf) 91/9e) 12/35_35 112b) 1/5c) 34/45g) 2/4d) 55/76​

The frequency is 9 written symbolically as using. Tally marks

Evalate the following...please help me in this..​

3. After a discount of 12% a TV is available for Rs. 26.400. If thediscount is 3% more, price of TV is Rs.25,500. Then the original price of TVis​

If anyone know the ans pls help class 10 chapter 6. Question 10​

Solve graphically= y≤3​

In an isosceles ∆ABC

7 Find Discriminant of 3x2+7x-5 = 0 3​

The value of 1+i¹⁰+i¹⁰⁰+i¹⁰⁰⁰ is ___​

Urgent please please ​

(iv) In the figure, BC -7, BD-3 Write the ratioAL A ABD)ALL ABC)) Complete and write any two of the following activities :) Observe the figure and complete the following activity.In A ABC and AEDC,ZABC = 24 (Each measures 46°)2C=C2..A ABC-AEtest for similarity)​

The length of a rectangular play ground is 75m and it's breadth is 50m.Rupali walk four rounds. How manykilometres did she walk?

Show that andare equivalent rational numbers

The domain of the function f(x) = sin-¹[log (x/2)] is (a) [1,4](b) (-4, 1](c) (-1,4](d) None of these

A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.

16 सेमी बाजू असलेल्या चौरसाच्या कर्णाची लांबी काढा

उताऱ्याच्या आधारे सूचनेनुसार कृती करा आजीच कटक्ष असायचं त्या दोन गोष्टी

3/12 can be written as 3+1/2

Pythagoras property is (Hypotenuse) 2 = (Side 1)2 + (Side 2)2. True Or False.✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏tu or sister Aankhe khol ke Sapna Dekh liya kiya

X/2=-39 answers pless

In the given figure if ab||cd , fe perpendicular cd and angle ged =136 find the value of angle gfd

नाइंथ स्टैंडर्ड अलजेब्रा hi

Find the value of sin theta if 6 cos ^2 theta=4 (1/2)

The VALUE is $\sin\theta=\pm \ frac{1}{2}$ .Step-by-step EXPLANATION:GIVEN : EXPRESSION $6\cos^2\theta=4\frac{1}{2}$ To FIND

Simplify 2×3⁴×2⁵/3²×(2²)²I'll mark brainliest solve please

(3 + 5 i )( 4- 2 i ) = ___

अपने जिले में सामाजिक कार्य करने वाली किसी संस्था का परिचय निम्न मुद्दों के आधार पर प्राप्त करके टिप्पणी बनाइए :-

The sum of a number and twice that number is 69. What is the number?13846.634.523

Simplify. : using (6x + 3y)^2 + (6x-3y )^2

2). The length of a rectangular play ground is 75m and it's breadth is som.Rupali walk four rounds. Howmarykilometres did she walk?

2,6,4,9,8,13,16,18,32,?

(1-x) (1+x+x²) plz answer fast

Root -3 root -6 equal to

Factorize the following algebraic expression : 6x²+8x+12yx

Why the earth weight is increased day by day?

Please answer me i want this answer

Sin⁴A - cos⁴A = 2sin²A-1 prove that

Find the compound interest on ₹16000 for 2 years at 5%

Don't compare yourself we others be like the sun and moon shine when ever needed who liked the quotation

13. The conjugate of complex number 7 i -2 is ___

. In the given figure, if AC =12 cm, BC =6 cm and AD = 8 cm, then area of A ABC and valueof 'h' are|12 cmhC6cmIbD(a) 22 sq.cm and 6 cm (b) 23 sq.cm and 4 cm(c) 24 sq.cm and 4 cm (d) 24 sq.cm and 6 cm

Differentiate x+cosx/tanx w.r.t.x

Simplify. :(6x + 3y)^2 + (6x-3y )^2

The simplified form of (xy^m)^nhelp me fast

(x+y) (x-y)muliplty

ה appesThe ration between the curved surface area and the total surcylinder is 1:2 Find the ratio between the height and radius of cylinder

3 7 8 4/6, 5/6, 3/6, 2/6unlike fractionsWrite the reciprocal (multiplicative inverse) of the following.a) 4 1/45/tf) 91/9e) 12/35_35 112b) 1/5c) 34/45g) 2/4d) 55/76

Evalate the following...please help me in this..

3. After a discount of 12% a TV is available for Rs. 26.400. If thediscount is 3% more, price of TV is Rs.25,500. Then the original price of TVis

If anyone know the ans pls help class 10 chapter 6. Question 10

Solve graphically= y≤3

7 Find Discriminant of 3x2+7x-5 = 0 3

The value of 1+i¹⁰+i¹⁰⁰+i¹⁰⁰⁰ is ___

Urgent please please

(iv) In the figure, BC -7, BD-3 Write the ratioAL A ABD)ALL ABC)) Complete and write any two of the following activities :) Observe the figure and complete the following activity.In A ABC and AEDC,ZABC = 24 (Each measures 46°)2C=C2..A ABC-AEtest for similarity)