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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. |
01. Find out the value of (256)x (256)56 x (256" |
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| 2. |
Find the domain and range of the following real functions:(i) f(x)=-1x1(ii) f(x) =+9_x2 |
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| 3. |
(xxi) x2-(J3-2)x+2J3-=0 |
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Answer» x² - (√3 + 2)x + 2√3 = 0 x² - √3x - 2x + 2√3 = 0 x ( x - √3) - 2 ( x - √3) = 0 ( x - 2) ( x -√3) = 0 So, x = 2 and √3 |
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| 4. |
if the X and ß are the perces of thegiven folynomial then find the value ofRt ß - XBzin-u J3 m +30 |
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Answer» If x=0 and x=-1 are the root of the polynomial f(x) =2×3-3×2+a×b |
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| 5. |
cos θ-sin θcos0+ sine1-J31+V3if, then find the value of 0.= |
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| 6. |
4x +5 sin xx+7 cos xDifferentiatew.r.t. x |
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| 7. |
\frac { \operatorname { cos } 7 x + \operatorname { cos } 5 x } { \operatorname { sin } 7 x - \operatorname { sin } 5 x } = \operatorname { cot } x |
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| 8. |
(iii) sin |J32.2) |
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| 9. |
Find the range of each of the following functions.(i) f(x) =2-3, xe R, x > 0.(ii) f(x) = x2 + 2, x is a real number. |
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| 10. |
ind the domain and range of the following real functions:(i) f(x) =-1x(ii) f(x) =-b-r |
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| 11. |
The maximum value of 3 sinx+5 cos? x is,Options : |
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Answer» the maximum value is 8 |
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| 12. |
Example 16. The sum of first n evennatural numbers is given by the relations n(n +1). Find n, if the sum is 420. |
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Answer» 420 = n (n + 1 ) use distributive property 400 + 20 = n^2+ n transpose 400 - n^2= n - 20 get the square root of 400 - n^2then it becomes 20 - n = n - 20 transpose 20 + 20 = n + n then add 40 = 2n then divide by 2 on each side to get the value of n n = 20 |
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| 13. |
3x+1 x+7 35,X-7 |
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| 14. |
7 x ^ { 4 } y ^ { 2 } - 14 x ^ { 3 } y ^ { 3 } + 35 x ^ { 2 } y ^ { 4 } - 56 x ^ { 7 } y ^ { 5 } + 21 y ^ { 6 } \text { by } 7 x ^ { 2 } y ^ { 2 } |
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| 15. |
7 x %2B \frac 3 x = 35 \frac 3 5 |
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| 16. |
42. The maximum value ofsin x +cos xin theinterval | 0,-| is attained at(a) (b) (c)플 (d)증51232 |
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| 17. |
Find the maximum value of the followi) 5 sin x 12 cos x |
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Answer» -1 <= sinx <= 1-5 <= 5sinx <= 5.......(1) -1 <= cosx <= 1-12 <= 12cosx <= 12...... (2) adding (1) and (2)-12-5 <= 5sinx + 12cosx <= 12+5-17 <= 5sinx + 12cosx <= 17 |
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| 18. |
\begin{array} { l } { \text { Find the maximum value } } \\ { \text { (i) } 5 \sin x + 12 \cos x } \end{array} |
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| 19. |
2 और (3) को जोड़ने पर, आपको प्राप्त .ड24860“ ए0व » SOR + £ QOR = 360°£ TOP + £ TOS = ८८ 908 है।| निम्न हो जाती है :ZPOQ+ ZQOR + » SOR + £ POS = 360°प्रश्नावली 6.1कृति 6.13 में रेखाएँ 48 और (9 बिंदु 0 पर प्रतिच्छेदखवी हैं। यदि £ AOC + £ BOE = 700 है औरBOD =40° &, T 80: और प्रतिवर्ती ८ 00 ज्ञातजिए। |
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| 20. |
Find the maximum and minimum value of 7 cos x+24 sin x |
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| 21. |
f(x)=J3 sin x+ cos x is maximum then value ofx =..624 |
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| 22. |
E 11 (A). In the given figure, a circle isdivided into four equal parts bythe lines AOD, AOC, BOC,BOD? How many times is theangle AOB of angle AOC?Cin divided into 16 equa |
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Answer» ∠AOB = 180° ∠AOC = 90°∴ ∠AOB = 2∠AOC not a correct answer Where do you find error in the solution? |
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| 23. |
Write the sum and product of zeros of the polynomial x-4x6 |
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Answer» sum of zeroes is -b/a=4/1=4product of zeroes is c/a=6/1=6 |
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| 24. |
Q. 2. Find the domain and range of thefollowing real functions:) f(x) 2+2. |
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| 25. |
\begin{array} { c } { \text { Find the maximum and minimum values, if any, of the function givea by: } } \\ { f ( x ) = 9 x ^ { 2 } + 12 x + 2 } \end{array} |
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Answer» thankuu brother |
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| 26. |
2. Check the injectivity and surjectivity of the following functions:G) f: N-> N given by f(x) r2 |
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Answer» Thank yu |
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| 27. |
Lo 125 (45~ 6 9 303011ा |
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Answer» hit like if you find it useful |
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| 28. |
02 Thy thesea 125 22-25).6. 6-80)=1-5)çmum 6.4) 16 |
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Answer» A=-5b=16c=-4It is correct answer a)-5b)16c)-4if helpful,like it |
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| 29. |
Simplify:20 (-18112 535 (-2010 (15)ă |
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Answer» [20/12 * (-18/5)] + [-35/10 * (-20/15)]= [5/3 *(-18/5)] + [-7/2 * (-4/3)]= (-6 + 14/3)Take LCM= (-18 + 14)/3= - 4/3 |
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| 30. |
These figures are similar.Find the missing length:12Simplify your answer completely.35x-[7] |
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Answer» 12/7=5/xso x=(5×7)/12=35/12 it said 12 was wrong |
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| 31. |
8 x y - 8 x ^ { 2 } y + 9 x ^ { 2 } y ^ { 2 } |
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| 32. |
( x ^ { 2 } - x ) ^ { 2 } - 8 ( x ^ { 2 } - x ) + 12 |
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| 33. |
EXERCISE 6.1In Fig. 6.13, lines AB and CD intersect at O. IfAOC + BOE = 700 and L BOD = 40°, findZBOE and reflex L COE.hag. 6.13 |
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| 34. |
(x^2 - 3*x)^2 - 8*(x^2 - 3*x) - 20 |
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Answer» Like if you find it useful |
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| 35. |
and minimumvalues of(iii) Find the maximum5 cos + 12 sine + 12. |
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| 36. |
17. Find the value of x. If L AOC and L BOC aresupplementary4x2x |
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| 37. |
Aoc - boc = 1/9 aoc |
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Answer» you have uploaded incomplete question.please upload complete question. |
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| 38. |
if a ray OC stands on line ABsuch that angle AOC = angle BOC then the value of angle AOC |
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Answer» thank you very much 😄 |
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| 39. |
3 of 27,36,of20, 48 5In a survey, 80 students were asents were asked to vote for theirfavourite subject from English, Science3 3*64 4x6vot4 voted for Science and the rest voted for Maths. How many more5Maths receive than English?ort cut Me |
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Answer» It is 28 votes more asMaths=1-(1/5 + 1/4) =11/20 =44 votesNo. of votes for English=80*1/5=16 votesDifference=44-16 votes =28 votes |
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| 40. |
Find the maximum and minimum values of the function y = x - 12x2 + 45x + 5. |
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| 41. |
17. Find the maximum and minimum values off(x) = (sin x +2cos x) in 0sx s |
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| 42. |
27.Find the maximum and minimum values (if any) of the function f(x)--Ix-1| + 7 ▽x e R. |
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| 43. |
find the maximum and minimum values of the following functions f(x)=x-1/x^2+x-1 |
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Answer» wrong answer not match to question. |
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| 44. |
Andl xtrume point ab bellowingfunction! . Speci,the RK忉1numFS a Maximum oreminimum , fino!the以treme values |
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| 45. |
0.9Simplify (6,)125 |
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| 46. |
8. Simplify: 5x 125. |
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Answer» 5^-5*5^5^35^(-5+3)5^-21/25 1/25 is the correct answer 1/25 is correct answer of the question |
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| 47. |
4.In the given figure, P is the mid point of BC and Qis the mid point of AP. If BQ when producedmeets AC at RProve that RA 1/3 CA |
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| 48. |
Simplify 9 \sqrt{5}-3 \sqrt{5}+\sqrt{125} |
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| 49. |
20. If 25x32. Then find the value of X.21. Evaluate ax-y.ay_z.az-X22. Simplify 125 5522 |
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| 50. |
-8*(x**2 %2B 3*x) %2B (x**2 %2B 3*x %2B 2)**2 - 4=0 |
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