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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Answer» y-1=-3x+3 is the required equation |
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| 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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Answer» part 1 |
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| 3. |
18÷1/8{11+16-(10+7-6+8)} |
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Answer» Ans :- 18÷1/8{11+16-(10+7-6+8)} = 18÷1/8{27-(19)} = 18÷1/8(8) = 18÷1 = 18 |
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| 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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Answer» 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 |
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| 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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Answer» As we knowx/a+y/b= 1soherex/(-5)+y/(3/7)= 1-x/5+7y/3= 1thanks 1 is the best answer |
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| 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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Answer» Volume = lbh=> h = V/(lb)=> h = 4.2/(3.5*0.75)=> h = 1.6 metres. Please hit the like button |
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| 9. |
find the equation of line whose intercept is (4,-6) |
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Answer» 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. |
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| 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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Answer» 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 |
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| 12. |
The smallest fraction is |
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Answer» 1/5 = 0.2 1/4 = 0.25 1/2 = 0.5 1/5 is smallest |
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| 13. |
Find the slope of a line whose inclination is 30° or 6 |
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Answer» I don't know 😴😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂 slope of line = tan theta m= tan thetatheta = 30m= tan 30m= 1/√3 |
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| 14. |
hat is the difference between the greatest and the smallest fraction i328ranged in descending order ? |
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Answer» greatest=3/2smallest=3/8difference=3/2-3/8 =9/8 |
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| 15. |
s, Which of the following is the smallest fraction |
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Answer» 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. |
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| 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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Answer» descending order:3/2, 3/5, 3/7, 3/8 3/2 - 3/8 =(12-3)/8=9/8=18/16option (1) |
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| 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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Answer» wrong answer |
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| 18. |
1Find the slope of a line whose inclination is(i) 45 |
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Answer» Tan theeta= slope of lineso tan 45° = 1tan 30° = 1/√3are the slopes |
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| 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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Answer» 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 |
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| 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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Answer» BD=CE(given)triangle ABD is congruent to triangle ACE(SAS)so, AB=AC(CPCT) |
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| 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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Answer» कोई छोटा उत्तर नहीं है। |
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| 25. |
Q16. Evaluate using distributive property of integers: 382 % (-189) + (-392) < 10 -392.noinnce test are 85 |
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Answer» -67886 is your answer 392(-189-10-1)392(. - 200)-78400 392(-189-10-1)= 392(-200)= - 78400 |
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| 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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Answer» (5/3)^2 * (5/3)^2 = (5/3)^[2 + 2] = (5/3)^4 = 625/81 |
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| 28. |
Will be the reciprocal of -6/11and -8/5 |
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Answer» reciprocal of -6/11 is -11/6 reciprocal of -8/5 is -5/8 |
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| 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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Answer» 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... |
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| 33. |
Transistor |
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| 34. |
Provee fig, AD is bisector of ZA. Show that AB > BD. |
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Answer» 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.] |
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| 35. |
what numbers should be adoleto 1 to get h?2) desemberson in the manImonDoa |
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Answer» x+1/8=4/9x=4/9-1/8=32-9/72=23/72 |
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| 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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Answer» 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 |
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| 37. |
If 2sin(2)=x2+1, thenthe valueof(X-!= x2 +, then the value of | x--| is24.(R) 2 |
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Answer» 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. |
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| 38. |
A) 1IfP(x) is divisible by q(x) thenthe remainder isA) r(x)8)B) 0C)1D)q(x) |
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Answer» If P(x) is divisible by q(x) then the remainder is 0. |
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| 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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Answer» 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 |
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| 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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Answer» class 8 |
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| 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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Answer» 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 |
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| 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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Answer» 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 . |
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| 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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Answer» hope u find this answer as best one hope u find this answer as best |
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| 49. |
x^2 %2B 11*x %2B 24 |
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Answer» 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 |
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| 50. |
x^2 %2B 10*x %2B 24 |
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Answer» 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 |
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