332354 + Interview Questions in Secondary School in Math

1.	In the given figure DE II BC, if AD = x, DB=x-2, AE=x+2 and EC=x-1 then find the value of x.
Answer» ter Step-by-step EXPLANATION: GARENA sdfkpobcgg KJ hkfkfkgg RED ghvsnkh exfjiuh kiggghh kicss

1.

In the given figure DE II BC, if AD = x, DB=x-2, AE=x+2 and EC=x-1 then find the value of x.

Answer»

ter

Step-by-step EXPLANATION:

GARENA sdfkpobcgg KJ hkfkfkgg RED ghvsnkh exfjiuh kiggghh kicss

Discussion

2.	Lim (x,y) tends to (0,0) sinx/y exist or not
Answer» ong>ANSWER: question ka PHOTO bejo to

2.

Lim (x,y) tends to (0,0) sinx/y exist or not

Answer»

ong>ANSWER:

question ka PHOTO bejo to

Discussion

3.	In triangle ABC is right angled ine D is a point on AC such that BD bisects B if b d c is 100 degree calculator c
Answer» ONG>Answer: ANGLE c is 35 degrees refer to the attached picture for the solution let me KNOW if it HELPS you!

3.

In triangle ABC is right angled ine D is a point on AC such that BD bisects B if b d c is 100 degree calculator c

Answer» ONG>Answer:

ANGLE c is 35 degrees

refer to the attached picture for the solution

let me KNOW if it HELPS you!

Discussion

4.	एक व्यक्ति ने कोई पुस्तक को 891 रुपयों में बेचकर लागत का 1/10 लाभ कमाया तो उस पुस्तक का क्रय मुल्य निकाले
Answer» ONG>ANSWER: what you say you say in ENGLISH i can't UNDERSTAND what you say.

Discussion

5.	Write the identities used in the following expressions
Answer» ong>ANSWER: (x+a) (x+b) is used in the QUESTION (500 +1) (500+2)

5.

Write the identities used in the following expressions

Answer»

ong>ANSWER:

(x+a) (x+b) is used in the QUESTION

(500 +1) (500+2)

Discussion

6.	The significant figure in 0.00 460 are
Answer» ONG>ANSWER: There are 3 significant FIGURES

6.

The significant figure in 0.00 460 are

Answer» ONG>ANSWER:

There are 3 significant FIGURES

Discussion

7.	Ewkcvnoeknmokmwopcpoek osdmwpoxaq
Answer» ONG>ANSWER: dfghjfdgfgg Step-by-step EXPLANATION:

7.

Ewkcvnoeknmokmwopcpoek osdmwpoxaq

Answer» ONG>ANSWER:

dfghjfdgfgg

Step-by-step EXPLANATION:

Discussion

8.	X=x=x, equals ∘∘ degrees
Answer» ong>Answer: SOLUTION, first angle = 150 SECOND angle = 20 third angle = a we know that, a+20+150=180°(being STRAIGHT line ) a+170=180 a =180-170 a=10°

8.

X=x=x, equals ∘∘ degrees

Answer»

ong>Answer:

SOLUTION, first angle = 150

SECOND angle = 20

third angle = a

we know that, a+20+150=180°(being STRAIGHT line )

a+170=180

a =180-170

a=10°

Discussion

9.	In the given figure radius of the semicircle is 7 cm. Find the area of the circle formed inside the semicircle.
Answer» ong>ANSWER: The circle that would be FORMED is Radius = 7/2 = 3.5 cm So area is , *πr² = 22/7 (7/2)² = 22/7 * 49/4 = 77/2 cm² or 38.5 cm² (Ans.) Hope it helps please MARK as BRAINLIEST**

9.

In the given figure radius of the semicircle is 7 cm. Find the area of the circle formed inside the semicircle.

Answer»

ong>ANSWER:

The circle that would be FORMED is

Radius = 7/2 = 3.5 cm

So area is ,

πr² = 22/7 * (7/2)²

= 22/7 * 49/4

= 77/2 cm² or 38.5 cm² (Ans.)

Hope it helps

please MARK as BRAINLIEST

Discussion

10.	Write the identities used in the following expressions:
Answer» ONG>Answer: here's UR answer ${a}^{2} + {b }^{2} = (a + b)(a - b)$ plz MARK as brainliest

10.

Write the identities used in the following expressions:

Answer» ONG>Answer:

here's UR answer

${a}^{2} + {b }^{2} = (a + b)(a - b)$

plz MARK as brainliest

Discussion

11.	In Fig. 1, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ZCAB = 30°. Find ZPCA. [Ans. _PCA = 60°СBFig 1
Answer» ong>Answer: I just MADE my own SQUAD on Vedantu. Join my Squad VOTE CHAMPIONS and we can together earn weekly mega prizes like XBOX, Smartphones, Smartwatch and more by solving interesting PUZZLES. Click here: https://vdnt.in/rgXfC

11.

In Fig. 1, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ZCAB = 30°. Find ZPCA. [Ans. _PCA = 60°СBFig 1

Answer»

ong>Answer:

I just MADE my own SQUAD on Vedantu. Join my Squad VOTE CHAMPIONS and we can together earn weekly mega prizes like XBOX, Smartphones, Smartwatch and more by solving interesting PUZZLES. Click here: https://vdnt.in/rgXfC

Discussion

12.	75 boys or 25% of the boys sent a Valentine to a girl last Wednesday. How many boys are there in all?
Answer» ER: 300 Step-by-step EXPLANATION: let total boys be x 25 % of x = 75 x = (75 × 100)/ 25 x = 300

12.

75 boys or 25% of the boys sent a Valentine to a girl last Wednesday. How many boys are there in all?

Answer» ER:

300

Step-by-step EXPLANATION:

let total boys be x

25 % of x = 75

x = (75 × 100)/ 25

x = 300

Discussion

13.	(sec 0 -tan 0)20.(sec 0 +tan 0)= (1 + 2 tan 0-2 sec 0 tan 0)
Answer» ong>ANSWER: no dirty THING ALLOW WELCOME all jvn-yuph-ude

13.

(sec 0 -tan 0)20.(sec 0 +tan 0)= (1 + 2 tan 0-2 sec 0 tan 0)

Answer»

ong>ANSWER:

no dirty THING ALLOW WELCOME all jvn-yuph-ude

Discussion

14.	A 3 Given: In A ABC, BC 3cm,MLA=30', mLc - 60',MLB. 903010 lind ABB Р3cm
Answer» ONG>ANSWER: rwm-zcrp-doj Step-by-step EXPLANATION: oggoohwuwjhahshdhd

14.

A 3 Given: In A ABC, BC 3cm,MLA=30', mLc - 60',MLB. 903010 lind ABB Р3cm

Answer» ONG>ANSWER:

rwm-zcrp-doj

Step-by-step EXPLANATION:

oggoohwuwjhahshdhd

Discussion

15.	Pros and cons of hypothesis testing from your view point. Why do you think hypothesis testing can lead to skepticism in general?
Answer» ong>Answer: Hypothesis testing has come under scrutiny and a sense of SKEPTICISM over the PAST few YEARS by experts in all FIELDS where hypothesis testing is utilized. Step-by-step explanation: IDK i just know

15.

Pros and cons of hypothesis testing from your view point. Why do you think hypothesis testing can lead to skepticism in general?

Answer»

ong>Answer:

Hypothesis testing has come under scrutiny and a sense of SKEPTICISM over the PAST few YEARS by experts in all FIELDS where hypothesis testing is utilized.

Step-by-step explanation:

IDK i just know

Discussion

16.	5-2) + (7-3)2 - 25
Answer» ong>Answer: it's 8 just simplify it by USING bodmas

16.

5-2) + (7-3)2 - 25

Answer»

ong>Answer:

it's 8 just simplify it by USING bodmas

Discussion

17.	Estimate this problem, 7.90×98.8
Answer» ONG>Step-by-step EXPLANATION: *780.52* *hope* it HELPS you

17.

Estimate this problem, 7.90×98.8

Answer» ONG>Step-by-step EXPLANATION:

780.52

hope it HELPS you

Discussion

18.	What is the area of a sector of a circle of radius 5cm formedby an arc of length 3.5 cm?
Answer» ONG>Step-by-step explanation: REMEMBER this: Another FORMULA for finding area of sector = (LENGTH of arc × radius)/2 substituting VALUES we get (3.5 × 5)/2 =17.5/2 = 8.75cms square ${cm}^{2}$

18.

What is the area of a sector of a circle of radius 5cm formedby an arc of length 3.5 cm?

Answer» ONG>Step-by-step explanation:

REMEMBER this: Another FORMULA for finding area of sector = (LENGTH of arc × radius)/2

substituting VALUES we get

(3.5 × 5)/2

=17.5/2

= 8.75cms square

${cm}^{2}$

Discussion

19.	The cost of type-I oil is Rs.40 per litre and type II oil is Rs.45 per litre. If both type-I and type-II are mixed in the ratio of 3: 2, then the price per litre of the mixture of oil is.
Answer» ONG>Answer: then total COST of 4 litre oil = 340 + 145 = 165. so, cost per litre of mixture = 165/4 = 41.25 RUPEES.

19.

The cost of type-I oil is Rs.40 per litre and type II oil is Rs.45 per litre. If both type-I and type-II are mixed in the ratio of 3: 2, then the price per litre of the mixture of oil is.

Answer» ONG>Answer:

then total COST of 4 litre oil = 3*40 + 1*45 = 165. so, cost per litre of mixture = 165/4 = 41.25 RUPEES.

Discussion

20.	270ka abjajya gunkhand
Answer» ong>ANSWER: idk Step-by-step explanation: WHATEVER this means

20.

270ka abjajya gunkhand

Answer»

ong>ANSWER:

idk

Step-by-step explanation:

WHATEVER this means

Discussion

21.	Con TOPThis activity leads us to the following criterion for similarity of two triangleTheorem 6.3 :// in /ho triangles, corresponding angles are equal, thencorresponding sides are in the same ratio (or proportion) and hence theconstructing several pairstime, you will find that their correspondingtriangles are similar:This criterion is referred to as the AAAne) criterion of
Answer» e Angle Angle is not right Step-by-step explanation: Because this is a SSS AAA is not a criterion

21.

Con TOPThis activity leads us to the following criterion for similarity of two triangleTheorem 6.3 :// in /ho triangles, corresponding angles are equal, thencorresponding sides are in the same ratio (or proportion) and hence theconstructing several pairstime, you will find that their correspondingtriangles are similar:This criterion is referred to as the AAAne) criterion of

Answer»

e Angle Angle is not right

Step-by-step explanation:

Because this is a SSS

AAA is not a criterion

Discussion

22.	.30 subtracted from 5 times a numberis 85 find the number
Answer» er: LET the NUMBER be X 5x - 30 = 85 5x = 115 X = 23 So the number is 5×23 = 115 Step-by-step EXPLANATION:

22.

.30 subtracted from 5 times a numberis 85 find the number

Answer»

er:

LET the NUMBER be X

5x - 30 = 85

5x = 115

X = 23

So the number is 5×23 = 115

Step-by-step EXPLANATION:

Discussion

23.	If 3:12 = 5:X vlaue of xplease answer me with expalination thank you
Answer» ONG>ANSWER: Answer is 20 Step-by-step explanation: 3÷12=5÷X. 3x=60. X= 60÷3 =20

23.

If 3:12 = 5:X vlaue of xplease answer me with expalination thank you

Answer» ONG>ANSWER:

Answer is 20

Step-by-step explanation:

3÷12=5÷X. 3x=60. X= 60÷3 =20

Discussion

24.	30 subtracted from 5 times a numberis 85
Answer» ONG>ANSWER: $85 \div 5 - 30 =$ This is the formula Step-by-step EXPLANATION: Mark me as branliest and give thanks if its RIGHT

24.

30 subtracted from 5 times a numberis 85

Answer» ONG>ANSWER:

$85 \div 5 - 30 =$

This is the formula

Step-by-step EXPLANATION:

Mark me as branliest and give thanks if its RIGHT

Discussion

25.	In an arithmetic progression - 18,13,8,3,...,S35=
Answer» ONG>ANSWER: a=18, d= -5. S35= a+34d= 18+34(-5)= -152.22

25.

In an arithmetic progression - 18,13,8,3,...,S35=

Answer» ONG>ANSWER:

a=18, d= -5. S35= a+34d= 18+34(-5)= -152.22

Discussion

26.	Express the following numbers is usual form3.02×10-⁴
Answer» ONG>Answer: 0.0302 pls MARK as BRAINLIEST

26.

Express the following numbers is usual form3.02×10-⁴

Answer» ONG>Answer:

0.0302

pls MARK as BRAINLIEST

Discussion

27.	Give the position of C on this number line.
Answer»

Discussion

28.	The given figure if OA=5cm, AB=8cm, and OD perpendicular to chord AB then to find the value of CD.
Answer» ong>Answer: radius (OA) = 5 cm OD ⊥ AB ∴ OC ⊥ AB Perpendicular drawn from center of CIRCLE bisects the chord. AC = BC = AB AC = [Math Processing Error]12 × 8 AC = 4 cm In right angled triangle OCA OA2 = OC2 + AC2 OC2 = OA2 – AC2 = (5)2 – (4)2 = 25 – 16 = 9 OC = [Math Processing Error]9 OC = 3 cm. ∵ OD = OA = 5 = radius of circle CD = OD – OC = 5 – 3 CD = 2 cm Step-by-step explanation: plz MARK as brainlest answer

28.

The given figure if OA=5cm, AB=8cm, and OD perpendicular to chord AB then to find the value of CD.

Answer»

ong>Answer:

radius (OA) = 5 cm OD ⊥ AB ∴ OC ⊥ AB Perpendicular drawn from center of CIRCLE bisects the chord. AC = BC = AB AC = [Math Processing Error]12 × 8 AC = 4 cm In right angled triangle OCA OA2 = OC2 + AC2 OC2 = OA2 – AC2 = (5)2 – (4)2 = 25 – 16 = 9 OC = [Math Processing Error]9 OC = 3 cm. ∵ OD = OA = 5 = radius of circle CD = OD – OC = 5 – 3 CD = 2 cm

Step-by-step explanation:

plz MARK as brainlest answer

Discussion

29.	Differentiate x^3/3x-2
Answer» ONG>ANSWER: Enter a PROBLEM... CALCULUS Examples Popular Problems Calculus Find the Derivative - d/dx x^3-3x+2 Evaluate 3x2−3+ddx[2]

29.

Differentiate x^3/3x-2

Answer» ONG>ANSWER:

Enter a PROBLEM...

CALCULUS Examples

Popular Problems Calculus Find the Derivative - d/dx x^3-3x+2

Evaluate

3x2−3+ddx[2]

Discussion

30.	Find the equivalent fraction 3\7 with numerator 18
Answer» $\pink{ \frac{3}{7} = \frac{18}{?}}$ $\purple{ \frac{3}{7} \times \frac{6}{6} = \frac{18}{42} }$ $\sf \green{Hence, \: the \: equivalent \: Fraction \: is \: \frac{18}{42} }$

30.

Find the equivalent fraction 3\7 with numerator 18

Answer»

$\pink{ \frac{3}{7} = \frac{18}{?}}$

$\purple{ \frac{3}{7} \times \frac{6}{6} = \frac{18}{42} }$

$\sf \green{Hence, \: the \: equivalent \: Fraction \: is \: \frac{18}{42} }$

Discussion

31.	12. A cube of side 4 cm is cut into cubes of side 1 cm. Find the total surface area of all the small cubes.
Answer» ong>Step-by-step explanation: here vol³ of a cube= (4CM)³ = 64cm³ vol³ of smaller cube = (1CM)³ = 1cm³ total CUBES obtained= 64cm³/1cm³= 64 T.S.A of a smaller cube= 6a² = 6×(1cm)²= 6cm² Now TSA of such 64 cubes= 64×6cm²= 384cm²

31.

12. A cube of side 4 cm is cut into cubes of side 1 cm. Find the total surface area of all the small cubes.

Answer»

ong>Step-by-step explanation:

here vol³ of a cube= (4CM)³

= 64cm³

vol³ of smaller cube = (1CM)³

= 1cm³

total CUBES obtained= 64cm³/1cm³= 64

T.S.A of a smaller cube= 6a² = 6×(1cm)²= 6cm²

Now TSA of such 64 cubes= 64×6cm²= 384cm²

Discussion

32.	Calculate the G.m of x/y & y/x
Answer» SQUAREROOT of MULTIPLICATION of NUMBERS who's GM has to be FOUND out here x/y * y/x = 1 so GM = 1

32.

Calculate the G.m of x/y & y/x

Answer» SQUAREROOT of MULTIPLICATION of NUMBERS who's GM has to be FOUND out

here x/y * y/x = 1

so GM = 1

Discussion

33.	The slope of a hill makes an angle of 600 with horizontal. If to reach at top, 500 meter distance have to covered then to find the height of the hill.
Answer» ONG>ANSWER: refer to the attachment PLS

Discussion

34.	1 किमी की एक दौड़ प्रतियोगिता में A, B को 36 मी या 18 सेकेण्ड से हराता है। A ने पूरी दूरी तय करने में कितना समय(सेकेण्ड में) लिया?
Answer»

Discussion

35.	. 125% of e is 30. What is e?
Answer» ONG>Answer: 125/100 X E = 30 e= 30x100/125 e= 24

35.

. 125% of e is 30. What is e?

Answer» ONG>Answer:

125/100 X E = 30

e= 30x100/125

e= 24

Discussion

36.	If A be any matrix of order 2x2 and its entries are {-1, 0, 1}, then find the total no. of matrices possible, such that \|A\| = 0.
Answer» ong>ANSWER: a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the FOUR spaces. Thus the total number of such matrices will be 2×2×2×2 = 2⁴ matrices. Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.

36.

If A be any matrix of order 2x2 and its entries are {-1, 0, 1}, then find the total no. of matrices possible, such that |A| = 0.

Answer»

ong>ANSWER:

a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the FOUR spaces.

Thus the total number of such matrices will be 2×2×2×2 = 2⁴ matrices.

Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.

Discussion

37.	A piece of sting is 42 cm long what will be the length of each side of the string , if it is used to form a) square b) an equilateral triangle c) regular hexagon please answer my question i will rate you and mark as brailiest
Answer» ong>ANSWER: SQUARE side = 10.5cm an equilateral triangle side = 14cm regular HEXAGON side = 7CM

37.

A piece of sting is 42 cm long what will be the length of each side of the string , if it is used to form a) square b) an equilateral triangle c) regular hexagon please answer my question i will rate you and mark as brailiest

Answer»

ong>ANSWER:

SQUARE side = 10.5cm

an equilateral triangle side = 14cm

regular HEXAGON side = 7CM

Discussion

38.	Please solve the math, its urgent my finals are going on :') CLASS 8 ADVANCE"I WILL MARK THE FASTEST ANSWER"
Answer» > LOG3X= -3/2 x= 3-³/² = (1/3)³/² = 1/(√3²)³/² =1/(√3)³ = 1/3√3

38.

Please solve the math, its urgent my finals are going on :') CLASS 8 ADVANCE"I WILL MARK THE FASTEST ANSWER"

Answer»

>

LOG3X= -3/2

x= 3-³/²

= (1/3)³/²

= 1/(√3²)³/²

=1/(√3)³

= 1/3√3

Discussion

39.	What is the mode of 100, 120, 120, 140, 140, 100?
Answer» ONG>Answer: hey mode= no of repeating nos so, 100 and 140 and 120 so SINCE all HV been repeating 100+120+140=360 therefore mode=360

39.

What is the mode of 100, 120, 120, 140, 140, 100?

Answer» ONG>Answer:

hey

mode= no of repeating nos

so, 100 and 140 and 120

so SINCE all HV been repeating

100+120+140=360

therefore mode=360

Discussion

40.	Divide 4050 with 10 and 100 pls answer in decimal value i mean in point
Answer» ONG>Answer: 405.0 40.50 Step-by-step EXPLANATION: ←- 4050 ÷ 10 = 405.0 ←— 4050 ÷ 100 = 40.50

40.

Divide 4050 with 10 and 100 pls answer in decimal value i mean in point

Answer» ONG>Answer:

405.0

40.50

Step-by-step EXPLANATION:

←-

4050 ÷ 10 = 405.0

←—

4050 ÷ 100 = 40.50

Discussion

41.	A rabbit eats a certain number of carrots placed along a path of distance 10 m. The rabbit eats 1 carrot after covering a distance of 1 m. After covering everymetre, he eats double the number of carrots. How much distance does therabbit cover if it eats exactly half the number of carrots placed along the path?(a) 5 m(b) 9 m(c) 3 m(d) 8 m
Answer» ONG>ANSWER: I GOT 9 Step-by-step EXPLANATION:

41.

A rabbit eats a certain number of carrots placed along a path of distance 10 m. The rabbit eats 1 carrot after covering a distance of 1 m. After covering everymetre, he eats double the number of carrots. How much distance does therabbit cover if it eats exactly half the number of carrots placed along the path?(a) 5 m(b) 9 m(c) 3 m(d) 8 m

Answer» ONG>ANSWER:

I GOT 9

Step-by-step EXPLANATION:

Discussion

42.	Complete the sentence. is 1 10 of 70,000.
Answer» ONG>Answer: 1to7 Step-by-step explanation: 70,000 in the 80,0000000☹️☹️

42.

Complete the sentence. is 1 10 of 70,000.

Answer» ONG>Answer:

1to7

Step-by-step explanation:

70,000 in the 80,0000000☹️☹️

Discussion

43.	Help? Andre shot three arrows and they landed at (-5, 4), (-8, 7), and (1, 6). What is his total score? A. 14 C. 8 Yellow: 10 points Red: 8 points Blue: 6 points B. 15 D. 18 Green: 4 points White: 2 points
Answer» ong>Given : Andre shot three arrows and they landed at (-5, 4), (-8, 7), and (1, 6). YELLOW: 10 points Red: 8 points BLUE: 6 points Green: 4 points White: 2 points To Find : total score? A. 14 B. 15 C. 8 D. 18 Solution: (-5, 4) is in blue region hence 6 points (-8 , 7) is in red region Hence 8 points ( 1 , 6) is out side board = 0 points so Total score = 6 + 8 + 0 = 14 points Learn More: locate the points A (1, 2), B( 3, 4) and C (5, 2) on a GRAPH sheet .. brainly.in/question/8917897 Andre shot three arrows brainly.in/question/37816817

43.

Help? Andre shot three arrows and they landed at (-5, 4), (-8, 7), and (1, 6). What is his total score? A. 14 C. 8 Yellow: 10 points Red: 8 points Blue: 6 points B. 15 D. 18 Green: 4 points White: 2 points

Answer»

ong>Given : Andre shot three arrows and they landed at (-5, 4), (-8, 7), and (1, 6).

YELLOW: 10 points

Red: 8 points

BLUE: 6 points

Green: 4 points

White: 2 points

To Find : total score?

A. 14

B. 15

C. 8

D. 18

Solution:

(-5, 4) is in blue region hence 6 points

(-8 , 7) is in red region Hence 8 points

( 1 , 6) is out side board = 0 points

so Total score = 6 + 8 + 0 = 14 points

Learn More:

locate the points A (1, 2), B( 3, 4) and C (5, 2) on a GRAPH sheet ..

brainly.in/question/8917897

Andre shot three arrows

brainly.in/question/37816817

Discussion

44.	Show that the relation "less than or equal to" on the set of integers Z, is reflexive and transitive but not symmetric
Answer» Basic Concept :- Reflexive :- Relation is reflexive. If (a, a) ∈ R for every a ∈ A. SYMMETRIC :- Relation is symmetric, If (a, b) ∈ R, then (b, a) ∈ R. Transitive :- Relation is transitive, If (a, b) ∈ R & (b, c) ∈ R, then (a, c) ∈ R. If relation is reflexive, symmetric and transitive Let's SOLVE the PROBLEM now!! Here, Relation, R MATHEMATICALLY represented as $\rm :\longmapsto\:R \: = \{(a, b) : a \leqslant b \: where \: a, b \: \in \: Z \}$ Reflexive :- $\rm :\longmapsto\:Let \: a \: \in \: Z$ $\rm :\longmapsto\:We\:know,\: a = a$ $\rm :\longmapsto\:(a, a) \in \: R$ $\bf\implies \:R \: is \: reflexive$ Symmetric :- $\rm :\longmapsto\:Let \: a, b \in \: Z \: such \: that \: (a, b) \in \: R$ $\rm :\implies\:a \leqslant b$ $\rm : \cancel {\implies} \: \: b \leqslant a$ $\rm :\implies\:(b, a) \: \cancel\in \: R$ $\bf\implies \:R \: is \: not \: symmetric$ Transitive :- $\rm :\longmapsto\:Let \: a, b, c \in \: Z \: such \: that(a, b) \in \: R \: and \: (b, c) \in \: R$ $\rm :\longmapsto\:as \: (a, b) \in \: R\rm :\implies\:a \leqslant b - - (1)$ $\rm :\longmapsto\:as \: (b, c) \in \: R \rm \: \implies\:b \leqslant c - - (2)$ From equation (1) and equation (2), we concluded that $\rm :\longmapsto\:a \leqslant c$ $\rm :\implies\:(a, c) \in \: R$ $\bf\implies \:R \: is \: trasitive.$

44.

Show that the relation "less than or equal to" on the set of integers Z, is reflexive and transitive but not symmetric

Answer»

Basic Concept :-

Reflexive :-

Relation is reflexive. If (a, a) ∈ R for every a ∈ A.

SYMMETRIC :-

Relation is symmetric, If (a, b) ∈ R, then (b, a) ∈ R.

Transitive :-

Relation is transitive, If (a, b) ∈ R & (b, c) ∈ R, then (a, c) ∈ R. If relation is reflexive, symmetric and transitive

Let's SOLVE the PROBLEM now!!

Here,

Relation, R MATHEMATICALLY represented as

$\rm :\longmapsto\:R \: = \{(a, b) : a \leqslant b \: where \: a, b \: \in \: Z \}$

Reflexive :-

$\rm :\longmapsto\:Let \: a \: \in \: Z$

$\rm :\longmapsto\:We\:know,\: a = a$

$\rm :\longmapsto\:(a, a) \in \: R$

$\bf\implies \:R \: is \: reflexive$

Symmetric :-

$\rm :\longmapsto\:Let \: a, b \in \: Z \: such \: that \: (a, b) \in \: R$

$\rm :\implies\:a \leqslant b$

$\rm : \cancel {\implies} \: \: b \leqslant a$

$\rm :\implies\:(b, a) \: \cancel\in \: R$

$\bf\implies \:R \: is \: not \: symmetric$

Transitive :-

$\rm :\longmapsto\:Let \: a, b, c \in \: Z \: such \: that(a, b) \in \: R \: and \: (b, c) \in \: R$

$\rm :\longmapsto\:as \: (a, b) \in \: R\rm :\implies\:a \leqslant b - - (1)$

$\rm :\longmapsto\:as \: (b, c) \in \: R \rm \: \implies\:b \leqslant c - - (2)$

From equation (1) and equation (2), we concluded that

$\rm :\longmapsto\:a \leqslant c$

$\rm :\implies\:(a, c) \in \: R$

$\bf\implies \:R \: is \: trasitive.$

Discussion

45.	Choose the correct alternative answers for the following question. When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.' What is the mathematical form of the statement ? (A) x- y=8 (C) x + y=23 (B) x+ y=8 (D) 2x + y = 21
Answer» ong>Step-by-step EXPLANATION: I think so it is X+ y =8,the d OPTION

45.

Choose the correct alternative answers for the following question. When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.' What is the mathematical form of the statement ? (A) x- y=8 (C) x + y=23 (B) x+ y=8 (D) 2x + y = 21

Answer»

ong>Step-by-step EXPLANATION:

I think so it is X+ y =8,the d OPTION

Discussion

46.	1solve 2/48 - V75 -V3
Answer» ONG>ANSWER: DIVIDE the numbers 248−175−13 124−175−13 2 Rearrange terms 124−175−13 −175−13+124 Solution −175−13+124

46.

1solve 2/48 - V75 -V3

Answer» ONG>ANSWER:

DIVIDE the numbers

248−175−13

124−175−13

2

Rearrange terms

124−175−13

−175−13+124

Solution

−175−13+124

Discussion

47.	Factorise a(a + c) – b(b + c)
Answer» ONG>ANSWER: Here's your answer. Step-by-step EXPLANATION: a(a+C)-b(b+c) =a^2+ac-b^2-bc =a^2-b^2+ac-bc =(a-b)(a+b)+c(a-b) =(a-b)[a+b+c] Hope it helps you...

47.

Factorise a(a + c) – b(b + c)

Answer» ONG>ANSWER:

Here's your answer.

Step-by-step EXPLANATION:

a(a+C)-b(b+c)

=a^2+ac-b^2-bc

=a^2-b^2+ac-bc

=(a-b)(a+b)+c(a-b)

=(a-b)[a+b+c]

Hope it helps you...

Discussion

48.	Write this a/4 + b/3 = 4 equation in general form
Answer» ONG>Step-by-step EXPLANATION: a/4+b/3=4 (3a+4b)/12= 4 3a+4b= 48

48.

Write this a/4 + b/3 = 4 equation in general form

Answer» ONG>Step-by-step EXPLANATION:

a/4+b/3=4

(3a+4b)/12= 4

3a+4b= 48

Discussion

49.	The graph represents velocity over time. A graph with horizontal axis time (seconds) and vertical axis velocity (meters per second). A line runs from 0 seconds 2 meters to 100 seconds 22 meters. What is the acceleration? –0.4 m/s2 –0.2 m/s2 0.2 m/s2 0.4 m/s2
Answer» ONG>Step-by-step explanation: Welcome FRIENDS My MOBILE no.7428553948

49.

The graph represents velocity over time. A graph with horizontal axis time (seconds) and vertical axis velocity (meters per second). A line runs from 0 seconds 2 meters to 100 seconds 22 meters. What is the acceleration? –0.4 m/s2 –0.2 m/s2 0.2 m/s2 0.4 m/s2

Answer» ONG>Step-by-step explanation:

Welcome FRIENDS

My MOBILE no.7428553948

Discussion

50.	(3) 20 મી. અને 28 મી. ઊંચાઈનાં બે ઝાડની ટોચ વચ્ચેનું અંતર 17મી. હોય તો તેમની વચ્ચેનું સમક્ષિતિજ અંતરથાય.
Answer» કા મને નઇ આવડતું એટલે સોરી હો બકા હું તને

Discussion

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