Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the value of√x with out using the calculator​

Answer» ONG>Answer:

\sqrt{<klux>X</klux>  } =   {x}^{ \frac{1}{2} }

Then you can FIND any value by PUTTING the value of x.

2.

38. A, B and C start a business in which A contributes th of the total investment in 2/9 th of the business. C contributes as much as A and B together. Total profit at the endof the year was Rs. 6300. What was B's profit share ? (in Rupees)1) 17002) 1750 3) 11104) 31505) 1150​

Answer» RONG>ANSWER :

CHECK THE ATTACHMENT

3.

The number increases by 15 gives 60 find the number​

Answer»

ong>Answer:

Think about the definition of percent. 15% is just 15/100. If a number is DECREASED by 15%, that’s 1–15/100, which is 85/100. Therefore, x*85/100=60. To isolate the x variable, you need to MULTIPLY both sides by the reciprocal of 85/100, which is 100/85. Then you GET the equation x=60*100/85, which is the same as x=6000/85, which is approximately 70.59. You can CHECK your answer by substituting 70.59 into your original equation, which gives you 70.59–15/100*70.59=60. 15/100*70.59 is approximately equal to 10.59. Then, substituting 10.59 in for 15/100*70.59 in your original equation gives you 70.59–10.59=60, which is true. Therefore, the answer to your question is 70.59.

4.

11) IF S = 11, sfixi = 2p + 52 and the mean of any distribution is 6, find the value of'p'​

Answer» ONG>ANSWER:

See the above attachment

I hope it's HELPS u

5.

Convert 75 percentage into simplest form of ratio​

Answer» ONG>Step-by-step EXPLANATION:

This is the right answer

PLS MARK AS BRAINLIEST

6.

Can someone please tell me the answers please​

Answer»

>

Hey !

Here are your answers . GO through them •‿•

And if you are SATISFIED with them then PLEASE MARK them as BRAINLIEST.

7.

In Fig. 10.16, the angle BAD and ADC are right angles and AX is parallel to BC. IR AR PVC = 5 cm, andDC = 8 cm. Calculate the area of ABCX and ABCX is not a parallelogram ​

Answer»

all HAT SALI MARK me as BRAINLIEST

8.

If C=2B then prove that c^2=ab + b^2​

Answer»

ong>Answer:

bhai chapter KA naam bhi likh LE yaar aesa question 12 khatam hone ke baad bhi NAHI dikha ya toh tu pura question likh le

9.

A wrist watch loses 25 seconds in 10 hours in how much time will it lose 45seconds

Answer»

Time lost in 5 sec = 10/5 = 2hours

Now time lost in 45sec = 2 × 9

= 18 hours!! hope this helps!!

#carry on learning :D

10.

1. Find the cube root of each of the following numbers by prime factorization. i). 12167​

Answer»

ong>Answer:

The prime FACTORISATION of 12167 is

The prime factorisation of 12167 is12167= 23 X 23 X 23

The prime factorisation of 12167 is12167= 23 X 23 X 23sqrt[3]12167=SQRT[3]23X23X23 sqrt[3]12167=23

Step-by-step explanation:

  • Mark me as brainliest
11.

If sin theta=4/3, then find theta​

Answer»

ong>Answer:

here is your answer in attachment

please MARK as BRAINLIEST

12.

Distance between the points [tex] \large{\red{\mathfrak{dont\:spam.}}} ​

Answer»

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

CONSIDER,

\rm :\longmapsto\:cos\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - cos\bigg( \theta  +  \dfrac{\pi}{3}\bigg)

We know,

\boxed{ \sf \: cosx - cosy =  - \:  2sin\bigg( \dfrac{x + y}{2} \bigg)sin\bigg( \dfrac{x - y}{2} \bigg)}

So, using this identity, we get

\:  \:  =  \sf \:  -  \: 2 \: sin\bigg( \dfrac{\theta + \dfrac{2\pi}{3} + \theta + \dfrac{\pi}{3}}{2} \bigg)sin\bigg( \dfrac{\theta + \dfrac{2\pi}{3} - \theta - \dfrac{\pi}{3}}{2} \bigg)

\:  \:  =  \sf \:  -  \: 2 \: sin\bigg( \dfrac{\pi}{2} + \theta \bigg)sin\bigg( \dfrac{\pi}{6} \bigg)

\:  \: \sf  \:  = \:  -  \: 2 \: cos\theta \:  \times \dfrac{1}{2}  \:  \:   \:  \:  \:  \:  \: \{ \because \:sin\bigg( \dfrac{\pi}{2}  + \theta\bigg)  = cos\theta \}

\:  \:  =  \sf \:  - cos\theta

\bf\implies \: \boxed{ \sf \: cos\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - cos\bigg( \theta  +  \dfrac{\pi}{3}\bigg)  =  - cos\theta} -  - (1)

Now, Consider,

\rm :\longmapsto\:sin\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - sin\bigg( \theta  +  \dfrac{\pi}{3}\bigg)

We know that

\boxed{ \sf \: sinx - siny = 2 \: cos\bigg( \dfrac{x + y}{2} \bigg)sin\bigg( \dfrac{x - y}{2} \bigg)}

So, using this identity, we get

\:  \: \sf  \:  = \:2 \: cos\bigg( \dfrac{\theta + \dfrac{2\pi}{3} + \theta + \dfrac{\pi}{3}}{2} \bigg)sin\bigg( \dfrac{\theta + \dfrac{2\pi}{3} - \theta - \dfrac{\pi}{3}}{2} \bigg)

\:  \:  =  \sf \:   \: 2 \: cos\bigg( \dfrac{\pi}{2} + \theta \bigg)sin\bigg( \dfrac{\pi}{6} \bigg)

\:  \:  =  \sf \:  -  \: 2 \: sin\theta \times \dfrac{1}{2}

\:  \:  =  \sf \:  -  \: sin\theta

\rm :\implies\: \boxed{ \sf \: sin\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - sin\bigg( \theta  +  \dfrac{\pi}{3}\bigg) =  - sin\theta } -  - (2)

Now,

We know,

Distance between two points is given by Distance Formula.

\:  \:  \: \boxed{\sf\ \:AB =  \sqrt{ {(x_2-x_1)}^{2}  +  {(y_2-y_1)}^{2} }}

\sf \: where \: coordinates \: of \: A \: and \: <klux>B</klux> \: are \: (x_1,y_1)  \: and \:  (x_2,y_2)

Here,

we have to find Distance between

\rm :\longmapsto\: \sf \:A \:  \bigg[a \: cos\bigg( \dfrac{2\pi}{3} + \theta\bigg), \: a \: sin\bigg(\dfrac{2\pi}{3} + \theta \bigg)\bigg]

and

\rm :\longmapsto\: \sf \: B \: \bigg[a \: cos\bigg(\dfrac{\pi}{3}  + \theta\bigg), \: sin\bigg(\dfrac{\pi}{3}  + \theta\bigg)\bigg]

So, Distance between A and B is given by

\sf \: AB =  \sqrt{ { {a}^{2} \bigg( cos\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - cos\bigg( \theta  +  \dfrac{\pi}{3}\bigg) \bigg) }^{2}  +  {a}^{2} {\bigg( sin\bigg(\theta + \dfrac{2\pi}{3} \bigg)  - sin\bigg( \theta  +  \dfrac{\pi}{3}\bigg) \bigg) }^{2}}

\:  \:  =  \sf \:  \sqrt{ {a}^{2} {( - cos\theta)}^{2}  +  {a}^{2} {( - sin\theta)}^{2}}

\:  \:  =  \sf \:  \sqrt{ {a}^{2} {cos}^{2}\theta +  {a}^{2} {sin}^{2}\theta }

\:  \:  =  \sf \: \sqrt{ {a}^{2} \bigg( {sin}^{2}\theta +  {cos}^{2}\theta\bigg) }

\:  \:  =  \sf \: a

Additional Information : -

TRIGONOMETRY Formulas

sin(−θ) = −sin θ

cos(−θ) = cos θ

TAN(−θ) = −tan θ

cosec(−θ) = −cosecθ

sec(−θ) = sec θ

cot(−θ) = −cot θ

Product to Sum Formulas

sin x sin y = 1/2 [cos(x–y) − cos(x+y)]

cos x cos y = 1/2[cos(x–y) + cos(x+y)]

sin x cos y = 1/2[sin(x+y) + sin(x−y)]

cos x sin y = 1/2[sin(x+y) – sin(x−y)]

Sum to Product Formula

sin x + sin y = 2 sin [(x+y)/2] cos [(x-y)/2]

sin x – sin y = 2 cos [(x+y)/2] sin [(x-y)/2]

cos x + cos y = 2 cos [(x+y)/2] cos [(x-y)/2]

cos x – cos y = -2 sin [(x+y)/2] sin [(x-y)/2]

Sum or Difference of angles

cos (A + B) = cos A cos B – sin A sin B

cos (A – B) = cos A cos B + sin A sin B

sin (A+B) = sin A cos B + cos A sin B

sin (A -B) = sin A cos B – cos A sin B

tan(A+B) = [(tan A + tan B)/(1 – tan A tan B)]

tan(A-B) = [(tan A – tan B)/(1 + tan A tan B)]

cot(A+B) = [(cot A cot B − 1)/(cot B + cot A)]

cot(A-B) = [(cot A cot B + 1)/(cot B – cot A)]

cos(A+B) cos(A–B)=cos^2A–sin^2B=cos^2B–sin^2A

sin(A+B) sin(A–B) = sin^2A–sin^2B=cos^2B–cos^2A

Multiple and Submultiple angles

sin2A = 2SINA cosA = [2tan A /(1+tan²A)]

cos2A = cos²A–sin²A = 1–2sin²A = 2cos²A–1= [(1-tan²A)/(1+tan²A)]

tan 2A = (2 tan A)/(1-tan²A)

13.

60 % Is Good For Commerce With Maths In Class 11th In Private School ?​

Answer» ONG>Step-by-step explanation:

what is ur DECISION?

do U have INTEREST in maths?

14.

What is biosphere...​

Answer»

The biosphere is defined as the area of the planet where ORGANISMS live, including the ground and the air. An example of the biosphere is where life occurs on, above, and below the surface of Earth. It extends to about 20 km from the bottom of the ocean to the highest point in the atmosphere at which life can survive.

The biosphere is defined as the area of the planet where organisms live, including the ground and the air. An example of the biosphere is where life occurs on, above, and below the surface of Earth. It extends to about 20 km from the bottom of the ocean to the highest point in the atmosphere at which life can survive.The biosphere is ONE of the four layers that SURROUND the Earth along with the LITHOSPHERE (rock), hydrosphere (water), and atmosphere (air) and it is the sum of all the ecosystems.

15.

Please answer meno spam​

Answer»

\huge\mathfrak \blue{solution}

★ 103×107

= (100+3)(100+7)

= 100 ² + (3+7)(100) +3 × 7

= 10000 + 1000 + 21 = 11021

___________________________________

★ 95×96

= (90+5) (90+6)

= 90 ²+ ( 5+6 )( 90) + 5 × 6

= 8100 + 990 + 30 = 9120

___________________________________

104 × 96

= (100 + 4 ) + (100 - 4 )

= (100 ² ) - 4²

= 10000 - 16 = 9984

_______________________________

16.

Show that tanA.sinA+cosA=secA​

Answer»

ong>Answer:

tanA.sinA+cosA=secA

sinA/cosA.sinA+cosA

sin²A/cosA+cosA

(sin²A+cos²A)/cosA

1/cosA

secA

Step-by-step EXPLANATION:

MARK me BRAINLIEST

17.

Q then findIn the bigure PG 1 BC, And BCA) ACAPOB) 2) ACARRE)ACAPBC) A CA ABC)solution​

Answer» ONG>ANSWER:

Hello.

Step-by-step EXPLANATION:

Good MORNING...

18.

Quiz: Logic Explain that, three colinear points cannot be on a circle.

Answer»

wer Keys.

Colinear Points

Three points are colinear, so all of them are on a line.

If three are colinear, there are three cases.

  1. There are no points in common.
  2. There are TWO points in common.
  3. All of them are in common.

Number of Intersections

We know that the maximum number of intersections, that a circle and a line can have is two.

Definition of Circle

A circle is a figure that the radius is equal.

Solution.

For cases 2 and 3, let's exclude them.

We know the maximum number of intersections is 2. Based on that, let's find the TOTAL number of ways.

  • Location of the center?
  • The pair of intersections?

There are three ways to choose the pair of points and two ways to choose a center. Total of 6 different circles.

Now there are two general cases.

  • ONE point is outside the circle. (4 circles)
  • One point is inside the circle. (2 circles)

In either way, the circles cannot go through one point because the distance is different from the two points.

More information.

If one point is outside the circle, the distance from the circle is greater than the radius.

If one point is inside the circle, the distance from the circle is less than the radius.

19.

83 If the angles of quadrilateral are in the ratio 3.5:9:13 thenall angles of quadrilateral are!​

Answer»

align="absmiddle" ALT="\huge\tt\underline\red{Answer}" CLASS="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?F=%5Chuge%5Ctt%5Cunderline%5Cred%7BAnswer%7D" TITLE="\huge\tt\underline\red{Answer}">

\large\colorbox{pink}{Answer \: in \: Attachment}

May Be Helpful ✌️ MATE

20.

Which of the following set of rational number is arranged ascending order?​

Answer» ONG>ANSWER:

OPTING (C) -25/28,-5/14,-3/7,-1/2

21.

Sine^3theta +cos^3theta\sinetheta +costheta= 1 - sintheta.costhetA​

Answer»

ong>Answer:

This is 100% CORRECT answer

I HOPE it will be HELPFUL for you

pls mark me as branliest

22.

10) The height of a tower is 15m. What is the length of its shadow when sun's altitude is 45°?​

Answer»

ong>Answer:

The HEIGHT of the SHADOW is 10 m.

Step-by-step explanation:

MARK me BRAINLIEST

23.

In how many way that letter of the word PHILIPPINE can be arranged​

Answer»

ong>ANSWER:

pine ,

lip

Hill

Pin

hope it helps (灬º‿º灬)♡

Step-by-step explanation:

it can be arranged to make more UNIQUE words,, try it yourself. BRO ❤︎

24.

Urmila spends 90% of money that she receives every month and saves 120 rupees how much money does she get monthly​

Answer»

ong>Step-by-step explanation:

LET the total MONEY be x

now, money she spend =

100

90x

Money she SHAVE =120

Now,

100

90x

+120=x

⇒x−

100

90x

=100

100

10x

=120

⇒x=

10

120×100

=1200

She EARN 1200.

Hence, the answer is 1200.

25.

Find the co-ordinate of points [5-2] [4-7] divides in the ratio 2:3 ?​

Answer» ONG>ANSWER:

srhjfhjsfhksfhfkagsfhkhkfshk

26.

Construct A POR, if PQ+ QR + RP = 10.8 cm, and2Q = 60° and Z R = 45°​

Answer»

ong>STEP-by-step explanation:

Answer

Open in ANSWR app

Step 1: Draw a line segment AB of 11cm

XY+YZ+ZX=11cm

Step 2: USING a protractor mark 30∘ at A, i.e ∠PAB and ∠QBA as 90∘

Step 3: Bisect 30∘ at A, i.e ∠PAB and ∠QBA at point X. 

Step 4: Join XZ and make XZ  perpendicular to AB.

Step 5: Draw perpendicular BISECTOR of  AX i.e ST.

Step 6: Mark the point Y where ST and AB intersect. Join XY

∴ We get △XYZ 

27.

Pls explain me how to construct this

Answer»

ong>ANSWER:

FIRST draw a line of 3.4cm then TAKE your rounder and keep it on one point and make a circle . and the point name E at CENTRE of circle take point F one the end of that line and point A on other it will be 4.1 then draw a tangent.

28.

What number should be added -5÷11 to get 7÷24​

Answer» ONG>Answer:

LET the no. to be ADDED be X ,therefore

Let the no. to be added be x ,therefore2/5+x=16/15

Let the no. to be added be x ,therefore2/5+x=16/15x=16/15-2/5=16-6/15

Let the no. to be added be x ,therefore2/5+x=16/15x=16/15-2/5=16-6/15=10/15=2/3

29.

What is Federalism????KOI ON HAI ??? ​

Answer»

align="absmiddle" alt="\huge\colorbox{green}{ANSWER}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Chuge%5Ccolorbox%7Bgreen%7D%7BANSWER%7D" title="\huge\colorbox{green}{ANSWER}">

FEDERALISM is a mixed or compound mode of government that combines a general government with regional governments in a single political system. Its distinctive feature, first embodied in the Constitution of the UNITED STATES of 1789, is a relationship of parity between the two LEVELS of government established.

30.

Find the length and breadth of rectangle having breadth x+yand 3x-2y and length x+7 and x+8​

Answer»

ong>Step-by-step explanation:

length = 15 units and breadth = 12.5 units

Step-by-step explanation:

I think these are the dimensions of sides as shown in the attachment.

So, we know that rectangle has length and breadth

i.e.

\BEGIN{gathered}x + 7 = 3x - 2y \\ \\ x - 3x + 2y = - 7 \\ \\ - 2x + 2y = - 7 \\ \\ 2x - 2y = 7...eq1 \\ \\ \END{gathered}

x+7=3x−2y

x−3x+2y=−7

−2x+2y=−7

2x−2y=7...eq1

and

\begin{gathered}x + y = y + 8 \\ \\ x + y - y = 8 \\ \\ x = 8 \\ \\ \end{gathered}

x+y=y+8

x+y−y=8

x=8

So,

\begin{gathered}2(8) - 2y = 7 \\ \\ - 2y = 7 - 16 \\ \\ 2y = 9 \\ \\ y = 4.5 \\ \\ \end{gathered}

2(8)−2y=7

−2y=7−16

2y=9

y=4.5

Now, length of rectangle is

\begin{gathered}x + 7 \\ \\ = 8 + 7 = 15 \: unit \\ \\ 3x - 2y = 24 - 9 = 15 \: unit \\ \\ \end{gathered}

x+7

=8+7=15unit

3x−2y=24−9=15unit

Breadth

\begin{gathered}x + y = 8 + 4.5 = 12.5 \\ \\ y + 8 = 4.5 + 8 = 12.5 \: units \\ \\ \end{gathered}

x+y=8+4.5=12.5

y+8=4.5+8=12.5units

Hope it HELPS you.

31.

Answer only 1 part with formulano spam​

Answer»

ong>Answer:

given : - (x+8)(x-10)

Formula :- a^2-b^2

x^2 - 10^2

x - 100

shayad sahi ho

koish KIYE h

SORRY agar answer galt hoga to

fir report kar dena AUR kya bole AB

32.

XII) What is the fraliability of the duent that a numluer chaser from I to 30 is an add number@ 60 1. ② 401. © sot. 0 20%​

Answer»

ong>Answer:

question galat hai ya mujhe smjh nhi AA rha

pta nhi

ye to KV bnayi HI nhi hu MAI

33.

Quiz: Equations Derive the quadratic formula.

Answer» ONG>Answer:

this is the DERIVATION of quadratic formula

34.

Determine k such that the quadratic equation x^2 +7(3 + 2k) - 2x (1 + 3k) = 0 has equal roots :(1) 2,7(2) 7,5(3) 2,-10/9(4) None of these​

Answer» ONG>Answer:

The equation is x2 – x(2) (1 + 3k) + 7 (3 + 2&) = 0 The roots are REAL and equal ⇒ ∆ = 0 (i.e.,) b2 – 4ac = 0 Here a = 1, b = -2 (1 + 3k), c = 7(3 + 2k) So b2 – 4ac = 0 ⇒ [-2 (1 + 3k)]2 – 4(1) (7) (3 + 2k) = 0 (i.e.,) 4 (1 + 3k)2 – 28 (3 + 2k) = 0 (÷ by 4) (1 + 3k)2 – 7(3 + 2k) = 0 1 + 9k2 + 6k – 21 – 14k = 0 9k2 – 8k – 20 = 0 (k – 2)(9K + 10) = 0 k - 2 = 0 or 9k + 10 = 0 k = 2 or k = -10/9 To solve the quadratic inequalities ax2 + bx + c < 0 (or) ax2 + bx + c > 0Read more on Sarthaks.com - HTTPS://www.sarthaks.com/907036/find-the-values-of-k-so-that-the-equation-x-2-2x-1-3k-7-3-2k-0-has-real-and-equal-roots

35.

3195.how to solvethis.​

Answer»

5-463887778945567446

36.

70 percent of 10 students are good in mathematics. how many students are not in mathematics​

Answer» ONG>Answer:

3

Step-by-step explanation:

3333333333

3

3

3

3

3

3

3

3

3

3

33

3

3

3

3

37.

if the radius of the circumcircle of an equilateral triangle is is 5 centimetre then find the the radius of its incircle incircle​

Answer» ONG>Answer:

6.287

Step-by-step EXPLANATION:

a=pi R2

22÷7×2

=6.287

38.

The mark obtained out of 75 by 30 students of a class in an examination are given below.42, 21, 50,37, 42,37,38, 49, 52, 38, 53, 57, 47, 29, 59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51. Prepare a frequency distribution table in which the size of class intervals is the same and one class interval is 0-10.​

Answer»

ong>ANSWER:

Class Interval. Frequency

0 to 10. 1

11 to 20. 4

21 to 30. 3

31 to 40. 7

41 to 50. 7

51 to 60. 6

61 to 70. 1

TOTAL : 29

Please Mark as brainliest answer...

39.

What is -3-(-2/3) as fraction ​

Answer» ONG>Answer:

I will just answer

Step-by-step explanation:

what for a MINUTE I will solve

40.

(і) а = 3n + 2राइट द फाइव फर्स्ट टाइम्स ऑफिस ​

Answer»

ong>Answer:

ifn= 1 , 3*1+2=3+2=5

if n= 2, 3*2+1=6+1=7

if n=3, 3*3+1=9+1=10

if n=4, 3*4+1=12+1=13

if n=5, 3*5+1=15+1=16

41.

Flary)= xx² + y² - 6x +12​

Answer» ONG>ANSWER:

x=7

Step-by-step EXPLANATION:

42.

What percentage is 5out of 20​

Answer»

rong>Step-by-step explanation:

25%

Latest decimal numbers, fractions, rations or proportions converted to percentages

5 / 20 = 25% Mar 27 09:58 UTC (GMT)

69.5 / 108 = 64.351851851852% Mar 27 09:58 UTC (GMT)

0.14 / 100 = 0.14% Mar 27 09:58 UTC (GMT)

All decimal number, fractions, RATIOS or proportions converted to percentages

43.

Give one example of binomial of degree 20 monomial degree of 25​

Answer» ONG>Step-by-step explanation:

DEAR HOPE my answer will help U

44.

Generalize the properties of rational numbers w. r. t four operations through patterns​

Answer»

ong>Answer:

  • Closure PROPERTY of ADDITION and multiplication.
  • Commutative property of addition and multiplication.
  • Associative property of addition and multiplication.
  • Distributive property.

Step-by-step EXPLANATION:

HERE IS YOUR ANSWER

HOPE IT WILL BE HELPFUL

45.

draw the graph of each of the equation given below and also find the coordinate points where the graph cuts the coordinate axes 3x+2y+6=0​

Answer»

ong>Answer:

Therefore, (-2,0) &(0,-3) are the POINTS where the graph cuts the COORDINATE axes

46.

Find the no of terms common to the two ApS 3,7,ll.... 407 ; 2,9,16....2,9, 16.... 709.theeninfherme​

Answer» ONG>ANSWER:

I don't KNOW

Step-by-step EXPLANATION:

I don't know

47.

. Find the number of natural number between 50 and 500 which are divisible by 7.​

Answer»

ong>Answer:

natural no.s between 50 & 500 which are DIVISIBLE by 7 are:- 56, 63,70,....,497

here ,a= 56 and d= 7

Tⁿ= a+(n-1)×d

497= 56+7n-7

497=49+7n

497-49= 7n

448= 7n

n= 448÷7

n= 64

hence, there are 64 natural NUMBERS between 50 and 500 which are divisible by 7

48.

Find the value of (2cos²∅-1){ (1+tan∅/1-tan∅)+(1-tan∅/1+tan∅)}​

Answer» ONG>Answer:

2cos²∅-1){ (1+tan∅/1-tan∅)+(1-tan∅/1+tan∅)}

49.

Factorise : 3x² + 5a - 2​

Answer» ONG>Step-by-step explanation:

Method 1 (By cross method)

3x2+5x+2

=(3x+2)(x+1)

Method 2 (By GROUPING)

3x2+5x+2

=3x2+3x+2x+2

=3x(x+1)+2(x+1)

=(3x+2)(x+1)

Method 3 (By quadratic formula)

By quadratic formula,

x=−5±(−5)2–4(3)(2)√2(3)=−1 or −23Therefore 3x2+5x+2=3(x+23)(x+1)=(3x+2)(x+1).

50.

Subtract. 7x—2a³ from a³+9x​

Answer» ONG>Answer:

Add the following:

(i) 3x and 7X

(ii) −5XY and 9xy

ANSWER:

We have

(i) 3x + 7x = (3 + 7)X = 10x

(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy