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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. |
Theorem 10.2 : The lengths of tangents drawnrom an external point to a circle are equal. |
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Answer» To provePT=QT Proof: Consider the triangleOPT and OQT OP=OQ ∠OPT=90° OT=OT(common side) Hence by RHS the triangles are equal. HencePT=QT Hence Proved. |
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| 2. |
0 fromtheThe distance between the chords of contact of tangents to the circle, x2 + y2 + 2gx + 2fy + corigin & the point (g f) is:6.+ f+ c(A) va2 |
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| 3. |
2. In the given figure, PA and PB are twotangents to the circle with centre O. f02330 then what is the meosar oiPB= 500en what is the measure of pZOAB.CBSE 2015] |
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| 4. |
lMarksEach)Amit travel 4m east then turn to his left and cover a distance of 3m. Displacement and distance ofAmit is(A) 5,70)(B) 4,3(С 2,5(D) 4,7 |
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Answer» total distance travelled is 4m to 3m=5+3=7mfor displacementusing pyathagoros theormdisplacement ^2=4^2+3^2hence displacement =√25=5m |
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| 5. |
29. Amit buys a shop for 1.20,000. He pays half of the amount in cash and agrees to pay thebalance in 12 annual instalments of 5,000 each. If the rate of interest is 12% and he pays with theinstalment the interest due on the unpaid amount, find the total cost of the shop. |
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| 6. |
10. Find the area of a square whose side is 3.13 1.11. The weight of 1 bag of wheat is 16.5 kg. What is the weight of 25 such bags? |
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Answer» One bag wieght = 16.5kg. 25 bags weight = one bag weight ×25. Total weight = 16.5×25. = 412.5kg please marke best for my answer and tell me it's right or wrong 1 bag=16.5kg25 bag=16.5*25=412.5kg the answer of the following is 412.5 kg |
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| 7. |
(1) 4 ta..EXERCISE32.2Which polynomial should be added to 3x3 -2x2 +3 to get the polynomial(2017)3x2 +4?o 315K2+1(2) 3x2ăź5x +1(3)ä¸3x3+ 5x2+1(4)-3x3-5x2 +1a 5 o get (2a2+5)? |
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Answer» Let Y is added3x^2+4=3x^3-2x^2+3 + Y-3x^3+5x^2+1=Yoption 3 is correct |
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| 8. |
If e and e' are the eccentricities of the elipse 5x2 +9y?-45 and the hyperbola 5x2 -4y 45 respectively, then ee'-(A) 9(B) 4(C) 5(D) 1 |
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| 9. |
\left| \begin{array} { c c c } { 1 } & { 4 } & { 20 } \\ { 1 } & { - 2 } & { 5 } \\ { 1 } & { 2 x } & { 5 x ^ { 2 } } \end{array} \right| = 0 |
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| 10. |
x4-5x2+4 |
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Answer» is your answer is -2 |
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| 11. |
इयों के बराबर हो तोके बीच की दूरी 8का माननाT2 = (३.८)- (2647PG - 5 ( 47 ) तो /470 किन--2संवा 6 |
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Answer» P=(7,5)=(x1,y1)Q=(10,m+3)=(x2,y2)PQ=5दूरी सूत्र के अनुसार,√(x1-x2)^2+(y1-y2)^2 =5(7-10)^2+(5-m-3)^2 =259+(2-m)^2 =25(2-m)^2=162-m =4 or 2-m=-4m=-2 or m= 6 |
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| 12. |
2x+26x+8 |
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Answer» 2x+26x+8=28x+8=4(7x+2)is the answer 28x+8=028x=-8x=-8/28x=-4/14 2x+26x +8 28x+8 4(7x+2) 26x+2x=-8; x=-8/28=-4/14 -4/14 Is a correct answer |
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| 13. |
5.The length of the tangents from any point on the circle 15x2 + 15y? - 48x + 64y - 0 to the two circles(B) 2:35x2+5y2-24x + 32y + 75 = 0 and 5x2 + 5y2-48x + 64y + 300 = 0 are in the ratio(C) 3:4 |
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Answer» how you write second last line |
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| 14. |
8x2 + 26x + 15 |
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| 15. |
8 x^2 +26x + 15 |
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Answer» 8x^2+20x+6x+15=4x(2x+5)+3(2x+5)=(4x+3)(2x+5) |
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| 16. |
8.Two persons, pull each other through a massless rope in 'tug of war game.Who will win?(A) one whose weight is more(B) one who pulls the rope with a greater force(C) one who applies more friction force (shear force) on ground(D) one who applies more normal force (compressive force) on ground |
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Answer» option D should be correct , because frictional force = μN , and if Normal force is more , he will resist more and more tension.. wrong answer c is coorect |
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| 17. |
(0 ¥*-22x+1 20 V)(viiy y?-4y-21 (सं)2... निम्नलिखित का गुणनखंड निकालें :कर (if |
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| 18. |
an objectrAmit buys few grams of gold at the poles as per the instructionof one of his friends. He hands over the same when he meetshim at the equator. Will the friend agree with the weight of goldbought? If not, why? Hint The value of g is greater at the10.poles than at the equator J |
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| 19. |
BI) The median of an ungrouped data and themedian calculated when the same data isgrouped are always the same. Do you thinkthat it is a correct statement ? GiveAeasen , |
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Answer» The answer is No. In the grouped data, it is assumed that the observations within the median class are uniformly distributed, which is rarely the case. Hence the difference. |
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| 20. |
5x+22x |
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Answer» 5x+22x =27x 5×+22×=. 27× |
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| 21. |
In an isosceles △ POR, PQ = PR. The base QR lies on the x-axis, P lieand 2r 3y +9 0 is the equation of Pg Find the equation of the sraigh line along PR.s on the y- axis |
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| 22. |
A —— e ———————w13 PG P15, 3), ((6, -2) और १(-3, 4) से बननेwid m‘ |
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| 23. |
Q. 23.Without actually calculating the cubes and using suitable identities, evaluate the expression 353-20-1 |
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| 24. |
37.If x is greater than or equal to 25 and y is lessthan or equal to 40, then which one of thefollowing is always correct?!(a)x is greater than y(b)(y - x) is greater than 15(c)(y-x) is less than or equal to 15(d)(x + y) is greater than or equal to 65 |
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Answer» x is greater than y in this question x>=25 ---(i)y<=40 ---(ii) Multiplying (i) equation with (-1), we get-x<=-25 ---(iii) Adding (ii) and (iii), we gety-x <= 40-25 y-x <= 15 Option(c) is the correct answer. |
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| 25. |
Two crows A and B are sitting at a height of 15 m and 10m in two different treesvertically opposite to each other. They view a vadai (an eatable) on the ground at anangle of depression 45° and 60 respectively. They start at the same time and fly at thesame speed along the shortest path to pick up the vadai. Which bird will succeed in it?Hint: (foot of two trees and vadai (an eatable) are in a straight line) |
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| 26. |
A mercury themometer is placed in a gravity free hall without touching anything. As temperature risesmercury expands and ascend in thermometer. If height ascend by mercury in thermometer is h then byeight centre of mass of "mercury and thermometer" system descend? |
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| 27. |
vision prove that 2 22x 3, is exactly divisble bynomial py) 2-3+y+4, leaves a remainder (432) when2 + 21 -3.24 If the poldivided by (y - 2), find the positive value of a, ence, find the remainder when pG)isdivided by y+2.25 Factorize: 2f-1 |
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| 28. |
{9 pg5 2Jifes) |
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Answer» -4p⁴q⁴ is the right answer -4p4q4 is your required answer |
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| 29. |
PCPEXAMINATIONTICSदि।---+है, तब 'x' का मान होगा-। केवल 1 या 2 (2) 1 एवं 0-5) केवल +1 या -1 (4) 0 को छोड़कर कोई भीनाजिरी या परिमेय है- |
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Answer» hahhhhwhggggwgK socioeconomic 1+1/xon taking lcm=x+1/xso 1+1/x[x+1/x option (1) 1 and 2 is the correct answer |
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| 30. |
Find the quotient and remainder on dividing 6x² –5x+1 by 2x –1. |
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| 31. |
1 Find the quotient and remainder on dividingPolynomial x2x+1 by x +1 |
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Answer» quotient is x-2 and remainder is 3 quotient is x-2 and remainder is 3 |
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| 32. |
X2-px +1=0 |
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| 33. |
If 3x+8 =272x+1, then the valueof x is |
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| 34. |
If 3x+8 272x+1, then the vaof x is |
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| 35. |
Divide 2x2 + 3x + 1by x + 2. |
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| 36. |
Tell me who I amI shall give a pretty clue!You will get me backIf you take me out of twenty two! |
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Answer» Let the number be z. Then the clue says: 22-z = z=> 2z = 22=> z = 22/2=> z = 11 |
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| 37. |
Y'Divide 2x2 +3x +1 by x +2 |
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| 38. |
out the multiplication of the expressions in each of the following pairs.4p, g+r1. Carry(ii) ab, a-b(iii)a + b, 7a2b?(iv)a2-9.4a() pg+gr + rp, 0 |
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Answer» i) 4q(q+r) = 4q²+4qr ii) ab(a-b) = a²b-ab² t thanks |
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| 39. |
Example 6: Divide 2x2 +3x +1 by x + 2. |
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| 40. |
viii. Divide (10x4+17x3-62x2+30x-3) by (2x2+7x-1) |
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| 41. |
(i) p(x)-r-3x2 + 5x-3,g(x) =X2-2 |
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| 42. |
3. If the zeroes of the polynomialx' 3+yurea - 5., hinda and b. |
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| 43. |
Two numbers are in the ratio 7:5 and their difference is 12. Find the two numbers |
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Answer» 7x-5x=122x=12x=642 and 30 are the two numbers shebfhfbrurhtifj4yeh4hfueh4jfnrhdju3 |
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| 44. |
What number am I?Clue 1 When you divide me by 5, the remainder is d.Clue 2 I have two digits. Both digits are odd.Clue 3 The sum of my digits is 10.42. |
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Answer» answer is 191)If we divide 19 by 5,the remainder is 42)two digits 1and9 both are odd3)sum of two digits 1+9=10 If you didn't understand ask again will clearly explain The possible combinations of digits are (1, 9), (3, 7), (5, 5), (7, 3), (9, 1) Out of these only 19 gives remainder when divided by 4.Therefore 19 is the required number. |
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| 45. |
Two numbers are in the ratio 7:5 and their difference is 12. Find the two number |
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| 46. |
18) Find the zeroes of the quadratic polynomialx+7x+10, and verify the relationship between thezeroes and the coefficients. |
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Answer» it is not 12 it is 10 |
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| 47. |
12. It being given that 1 is one of the zeroes of the polynomialx x3 6. Find its other |
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| 48. |
e like terms in each of the followingalgebraic expressions:(ii)-20,-4p-3x2 +4x2 +xy(y)2 +3m2-1m2 + 712-41m + 6 |
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Answer» "Like terms" are terms whose variables (and their exponents such as the 2 in x 2) are the same. In other words, terms that are "like" each other. (i) x^2y, 5x^2y -3xy^2, y^2x (ii) 2xy, xy -3x^2, 4x^2 please in a copy |
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| 49. |
10. In an AP the sum of first n terms isS2 15 Find the 25th term.3m2 , 13m |
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Answer» Sum upto 25th term=(3(25)²)/2+(13(25))/2=937.5+162.5=1100 Sum upto 24th term=(3(24)²)/2+(13(24))/2=864+156=1020 25th term=1100-1020=80 |
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| 50. |
h-53m2t n terms isFirnis 313Find the 25th term.pan AP the sum of first" terms is T+12t.Findthe25thterm., |
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