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.

| 11.Or, Find the equation of straight line which isparallel to 3x + y +7 = 0 and passesthrough.उस सरल रेखा का समीकरण ज्ञात करें जो3x + y +7=0 के समानान्तर हो तथा (1,1) सेगुजरती हो ।of the hyperbola whereor,

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y-1=-3x+3 is the required equation

2.

The line 3x+4y-24-0 meets the y-axis at A and the x-axisat B. The perpendicular bisector of AB meets the linethrough (0,-1) and parallel to the x-axis at C. Prove thatZACB is a right angle.v)

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part 1

3.

18÷1/8{11+16-(10+7-6+8)}

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Ans :- 18÷1/8{11+16-(10+7-6+8)} = 18÷1/8{27-(19)} = 18÷1/8(8) = 18÷1 = 18

4.

Try the problem below to make sure you understand one of the types of ungles you just learned3x + 185x + 2m2Value: 50Given that linelis parallel to line m, solve fo-X

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3x+18+5x+2=0; 20=-8x; -x=20/8=5/2; x=-5/2

sum of two internal angle = 180 when two lines are parallel and TRANSVERSE by a lineso 3x+18+5x+2=1808x+20=1808x= 180-20=160x= 160/2= 80so 3x+18= 3×80+18=

sum of two internal angle= 180 when two lines are parallel and TRANSVERSE by a lineso 3x+18+5x+2=1808x+20=1808x= 180-20=160x= 160/8=20°3x+18= 3×20+18=60+18=78°5x+2= 5×20+2=100+2=102°

3x+18+5x+2=180; 8x+20=180; 8x=180-20=160; x=160/8=20; 3(20)+18=60+18=78°, 5x+2=5(20)+2=100+2=102

correct answer isx = 20

X =20 is the correct answer for this question

5.

(a) Find the length of perpendicular drawn from the point (-3,-4) to the straight line whoseequation is 12r- 5y + 650

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6.

figure, AB+ AC, BO: EC. Prove that "ABE¡ACO and 15-AE.

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7.

find the equation of line whose intercept are (-5,3/7)

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As we knowx/a+y/b= 1soherex/(-5)+y/(3/7)= 1-x/5+7y/3= 1thanks

1 is the best answer

8.

A rectangular tank is 3.5 m long and 0.75 m deep. Find the width of the tank if its volumeis 4.2 cu m.

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Volume = lbh=> h = V/(lb)=> h = 4.2/(3.5*0.75)=> h = 1.6 metres.

Please hit the like button

9.

find the equation of line whose intercept is (4,-6)

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X/4-Y/6=1 is the correct answer of the given question

Equation of the line whose intercept is ( 4 , -6 ) is x / 4 - y / 6 = 1.

As we knowgeneralequationx/a+y/b= cso here

Equation of the line whose intercept is ( 4 , -6 ) is x / 4 - y / 6 = 1.

10.

26. In figure, AD -AE and D and E are points on BC such that BD - EC. Prove that AB - AC

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11.

find the equation of line whose intercept are (-5,3/7) (answer with steps)

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Standard form of equation of a line isax+by=c

Given : x-intercept = -5, y-intercept = 3/7

Intercept form of equation can be written asx/a+y/b=1where a is the x-intercept and b is the y-intercept.

∴x/-5 + 7y/3 = 1

Taking -15 as LCM,

(3x + 7*-5y)/−15 = 1

3x - 35y = −15

Therefore,Standard form of equation is3x - 35y = - 15

-15 is the best answet

12.

The smallest fraction is

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1/5 = 0.2

1/4 = 0.25

1/2 = 0.5

1/5 is smallest

13.

Find the slope of a line whose inclination is 30° or 6

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slope of line = tan theta m= tan thetatheta = 30m= tan 30m= 1/√3

14.

hat is the difference between the greatest and the smallest fraction i328ranged in descending order ?

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greatest=3/2smallest=3/8difference=3/2-3/8 =9/8

15.

s, Which of the following is the smallest fraction

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Since the denominator of all the fractions are same, we need to compare the numerators of all the fractions.

Here, 3<4<5<7

Hence, 3/9 is the smallest fraction. Option (b) is correct.

16.

34. What is the difference between the greatest and the smallest fraction if5arearranged in descending order ?181) 16106(4) 1

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descending order:3/2, 3/5, 3/7, 3/8

3/2 - 3/8 =(12-3)/8=9/8=18/16option (1)

17.

23. The smallest fraction which shouldbe subtracted from the sum of13 21. 57 31 and 21 to make the4 234result a whole number, is

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wrong answer

18.

1Find the slope of a line whose inclination is(i) 45

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Tan theeta= slope of lineso tan 45° = 1tan 30° = 1/√3are the slopes

19.

3. Fina tne volume in m 01 a rectangular cu Dold ol length 2.0 m, with4. A rectangular trough 8 m long and 3 m wide holds 57.6 m3 of water. Find the depth of water in the trough.25 om lon8 cm wide and 25 cm deep, What

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20.

Find the slope of a line whose inclination is(i) 30(i) 120

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21.

7. The slope of the Straight line whose inclination is 60° is(a) 0(C) -13

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slope = tan x,where 'x ' is inclined angle of the line.tan 60=3^1/2option D is the answer

find tan 60 =√3 understood

22.

Find the equation of a line whose inclination with the x-axis is 30° andwhich passes through the point (0,5)

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23.

12. If in fig, AD- AE and D anE and D and E are point on BC such that BD-EC prove that AB-AC.

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BD=CE(given)triangle ABD is congruent to triangle ACE(SAS)so, AB=AC(CPCT)

24.

9. In Fig. 14.36, ABCD is a parallelogram and E is the mid-point of side BC. If DE and ABwhen produced meet at F, prove that AF-2AB.Fig. 14.36

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कोई छोटा उत्तर नहीं है।

25.

Q16. Evaluate using distributive property of integers: 382 % (-189) + (-392) &lt; 10 -392.noinnce test are 85

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-67886 is your answer

392(-189-10-1)392(. - 200)-78400

392(-189-10-1)= 392(-200)= - 78400

26.

9 Find the equation of a line whose inclination with the r-axis is 30° andwhich passes through the point (0,5).

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27.

(5/3)^2*(5/3)^2

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(5/3)^2 * (5/3)^2

= (5/3)^[2 + 2]

= (5/3)^4

= 625/81

28.

Will be the reciprocal of -6/11and -8/5

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reciprocal of -6/11 is -11/6

reciprocal of -8/5 is -5/8

29.

solve 2x+3y=11and 2x-4y=-24 and hence find the value of 'm,for which y=mx+3.

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30.

out of the fractions 5/7,4/9,6/11and 3/4, find out the difference between the largest fraction and the smallest fraction.

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31.

Sive using distributive property :567*102

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32.

. Choose the correct option. (MCQ's)(i) Which of the following is a proper traction ?016(b) 88

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b number

D) 3/5 is the right answer

(D) is the correct answer

D is the right answer

(D) 3/5 incorrect answer

option d is the correct answer of the given question

D is the answer of the following

a fraction that is less than one, with the numerator less than the denominator.so option D (3/5) is the correct answer.

the correct answer is d

d is the right one...

33.

Transistor

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34.

Provee fig, AD is bisector of ZA. Show that AB &gt; BD.

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Given :AD is the bisector of ∠A of triangle ABC.

Hence, ∠DAB=∠DAC∠BDA is the exterior angle of the ∆DAC.

Hence, ∠BDA> ∠DACor ∠BDA > ∠DAB Since ,∠DAC=∠DAB

→ AB > BD[:• In a triangle sides opposite to greater angle is greater.]

35.

what numbers should be adoleto 1 to get h?2) desemberson in the manImonDoa

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x+1/8=4/9x=4/9-1/8=32-9/72=23/72

36.

8. Mr Joshi bequeathed 3 of his money to his son, to his daughter and the remaining to his wife who got42,000. What was the total amount?

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Let total money was xMoney bequeated to his son=x/3Money bequeated to his daughter=x/5x-x/3-x/5=420007x/15=420007x=63000x=90000

37.

If 2sin(2)=x2+1, thenthe valueof(X-!= x2 +, then the value of | x--| is24.(R) 2

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Since the range of sine function is [-1,1]. Thus the range of LHS is [-2,2].And applying Arithmetic Mean => Geometric Mean. The range of RHS is from 2 to infinity.Thus the only solution of this equation is when LHS = RHS = 2.Solving LHS = 2, we get solution as x = 4n + 1 where n = 0,1,,2,3,4......but only n = 0 which gives x = 1 satisfies RHS also. Thus, the value of x - 1/x = 0.

38.

A) 1IfP(x) is divisible by q(x) thenthe remainder isA) r(x)8)B) 0C)1D)q(x)

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If P(x) is divisible by q(x) then the remainder is 0.

39.

1IMr Joshi bequeathedof his money to his son,to his daughter and the remaining to his wife who got42,000. What was the total amount?

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His wife got 42000so his son and daughter got 1/3+1/5 part=8/15 partthat means 1-(8/15)= 420009/15 part = 42000total amount = 42000*15/970000

40.

14. Calculate the area of the shaded region in each of the figures given below1 m1.5 m E1.5 m3 m寸-40m-l43 m0)

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41.

EXERCISE 12.35Unless stated otherwise, use π =. Find the area of the shaded region in Fig. 12.19, ifPQ 24 cm, PR 7 cm and O is the centre of thecircle.Fig. 12.19

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class 8

42.

8. In Fig. 13.31, AB-AC and AD is the bisectorof BAC. Prove that ABD AACDAlso, prove that ZB ZC and BD DC.

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in this we can use the theorem of SAS so ,here in ∆ABD and ∆ACD AD is bisector os angle A and ∆ABC is isosceles triangle .AB=AC ':(given in data)angle BAD =angleDAC (given in data )AD=AD(given on data) so by using SAS theorem we can say that ∆BAD~=∆CAD.

so by using CTCP theorem we can prove that angle B=angle C andBD=DC

43.

11. In the figure, ABCD is a trapezium in which DAIl CBAB has been produced to E. Find the angles of thetrapeziumyex +25°2y + 10°

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44.

If 255/0.25525.57x,thenthe val

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45.

Finol out the vale

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46.

identify the constant of proportionality, and Explain what it means in the context of this situation

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is this question related to previous one you have posted. if yes,

constant of proportionality is 2 and in context it refers to times of money that micah receive when she save $5 .

47.

Find thePOfind theerimeter of the given figure, where AED is a semi-24 cm, PR 7 cm and O is the centre of the circle.CBSE 2009 (D.B.) (SPe and ABCD is a rectangle.(CBSE 2008 (A.L) IcyE 20cmlif shaded region (take T 3.14)20cmareaB14cm

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48.

(y**2 %2B 10*y %2B 24)/(y %2B 4)

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hope u find this answer as best one

hope u find this answer as best

49.

x^2 %2B 11*x %2B 24

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x^2 + 11x + 24x^2 + 3x + 8x + 24x(x+3) + 8(x+3)(x+3)(x+8)

x=3 is the correct answer

X+8, x+3 is the correct answer

50.

x^2 %2B 10*x %2B 24

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x^2+6x+4x+24=X(x+6)+4(X+6)=(X+4)(X+6);; X=-4,-6

x^2+10x+24=0x^2+6x+4x+24=0x(x+6)4(x+6)=0(x+4) (x+6)=0(x+4)=0 so, x= -4(x+6)=0 so, x=-6