InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
यदि `A=[(9,10,11),(12,13,14)]` और `B=[(11,10,9),(8,7,6)]` तो `A+B=..........`A. `[(20,20,20),(20,20,20)]`B. `[(10,10,10),(10,10,10)]`C. `[(10,5,10),(5,10,10)]`D. `[(25,10,15),(15,10,25)]` |
| Answer» Correct Answer - A | |
| 2. |
`(d)/(dx)(sec x)=........`A. `sec^(2)x`B. `tan^(2)x`C. `sec x tan x`D. 0 |
| Answer» Correct Answer - C | |
| 3. |
`(d)/(dx)(sin^(-1)x)=.............`A. `(1)/(1+x^(2))`B. `(1)/(1-x^(2))`C. `(1)/(sqrt(1-x^(2)))`D. `(1)/(sqrt(1+x^(2)))` |
| Answer» Correct Answer - C | |
| 4. |
यदि `|(x,5),(5,x)|=0` तो `x=..........`A. `+5`B. 6C. 0D. 4 |
| Answer» Correct Answer - A | |
| 5. |
`(d)/(dx)(sin^(-1)x+cos^(-1)x)=..........`A. `(2)/(1+x^(2))`B. 0C. 2D. 1 |
| Answer» Correct Answer - B | |
| 6. |
`tan^(-1). (1)/(2) + tan^(-1). (1)/(4)=...........`A. `tan^(-1). 3/2`B. `tan^(-1). 6/7`C. `tan^(-1). 5/6`D. `tan^(-1). 1/2` |
| Answer» Correct Answer - B | |
| 7. |
`int 0.dx=..........`A. kB. 0C. 1D. -1 |
| Answer» Correct Answer - A | |
| 8. |
यदि `y=sin (log x)`, तब `(dy)/(dx)= ............`A. `(1)/(x) cos ( log x)`B. `(1)/(x) sin ( log x)`C. 0D. 1 |
| Answer» Correct Answer - A | |
| 9. |
`int x^(5)dx=...........`A. `(x^(6))/(6)+k`B. `(x^(5))/(5)+k`C. `(x^(7))/(7)+k`D. `(x^(8))/(8)+k` |
| Answer» Correct Answer - A | |
| 10. |
यदि `y=x^(5)` तो `(dy)/(dx)=.........`A. 5xB. 6xC. `5x^(4)`D. `5x^(2)` |
| Answer» Correct Answer - C | |
| 11. |
`(d)/(dx)(sin x)=`A. `cos x`B. `-sinx `C. `-cos x`D. `tanx` |
| Answer» Correct Answer - A | |
| 12. |
`int(dx)/(x)=..........`A. `x+k`B. `(1)/(x^(2))+k`C. `-(1)/(x^(2))+k`D. `log x + k` |
| Answer» Correct Answer - D | |
| 13. |
`(dy)/(dx)=(x)/(y)` का हल हैA. `(y^(2))/(2)-(x^(2))/(2)=k`B. `(x^(2))/(2)+(y^(2))/(2)=k`C. `(x-y)/(2)=k`D. `(x+y)/(5)=k` |
| Answer» Correct Answer - A | |
| 14. |
`(d)/(dx)(tan ax)=`A. `a tan ax`B. `a sec^(2)ax`C. `a sec x`D. ` a cot ax` |
| Answer» Correct Answer - B | |
| 15. |
`tan^(-1)(1)=............?`A. `pi/4`B. `pi/2`C. `pi/3`D. `pi/8` |
| Answer» Correct Answer - A | |
| 16. |
अवकल समीकरण `(dy)/(dx)=e^(x-y)` का हल हैA. `e^(x)+e^(-y)+k=0`B. `e^(2x)=ke^(y)`C. `e^(x)-e^(x)=k`D. `e^(x-y)=k` |
| Answer» Correct Answer - C | |
| 17. |
यदि `f:R rarr R` जहाँ `f(x)=3x-4` तो `f^(-1)(x)` निम्नलिखित में कौन है ?A. `(x+4)/(3)`B. `(1)/(3)x-4`C. `3x-4`D. `3x+5` |
| Answer» Correct Answer - A | |
| 18. |
`int_(a)^(b) x^(3)dx=...........`A. `(b^(3)-a^(3))/(3)`B. `(b^(4)-a^(4))/(4)`C. `(b^(2)-a^(2))/(2)`D. 0 |
| Answer» Correct Answer - B | |
| 19. |
`|(1,1,2),(2,2,4),(3,5,6)|=........?`A. 5B. 7C. 0D. 9 |
| Answer» Correct Answer - C | |
| 20. |
यदि `n(A)=3` तथा `n(B)=2` तो `n(AxxB)=.......`A. 6B. 4C. 2D. 0 |
| Answer» Correct Answer - A | |
| 21. |
समीकरण `((d^(2)y)/(dx^(2)))^(3)-4(dy)/(dx)=2` का घात है |
| Answer» Correct Answer - D | |
| 22. |
`vec(i).vec(k)=`A. 1B. 0C. 2D. -1 |
| Answer» Correct Answer - B | |
| 23. |
यदि `vec(a)=vec(i)+vec(j)+3vec(k),vec(n)=2vec(i)+3vec(j)-5vec(k)` तब `vec(a).vec(b)=`A. 10B. -10C. 20D. 5 |
| Answer» Correct Answer - B | |
| 24. |
`vec(j)xxvec(k)=`A. `vec(i) `B. `-vec(i)`C. `vec(0)`D. 1 |
| Answer» Correct Answer - A | |
| 25. |
यदि `vec(a)` और `vec(b)` परस्पर लंब हो तो `vec(a).vec(b)=`A. 1B. 0C. 2D. 3 |
| Answer» Correct Answer - B | |
| 26. |
यदि `A={1,2,3}` तो `(1,2)` को शामिल करते हुए कितने तुल्यता संबंध A पर परिभाषित हो सकते हैं ?A. 2B. 3C. 8D. 6 |
| Answer» Correct Answer - A | |
| 27. |
यदि और तीन स्वतंत्र घटनाएं हो तोA. `P(A)+P(B)+P(C)`B. `P(A)-P(B)+P(C)`C. `P(A)+P(B)-P(A nn B)`D. `P(A)P(B)P(C)` |
| Answer» Correct Answer - D | |
| 28. |
यदि कोई प्रतिदर्श समष्टि तथा कोई घटना है तो घटना की प्रायिकताA. `(n(E))/(n(S))`B. `(n(S))/(n(E))`C. n(E)D. n(S) |
| Answer» Correct Answer - A | |
| 29. |
यदि और दो स्वतंत्र घटनाएं हो, तोA. `P(A).P(B)`B. `P(A//B)`C. `P(A)+P(B)`D. `P(A)+P(B)-P(A nn B)` |
| Answer» Correct Answer - A | |
| 30. |
यदि तथा हों तो |
| Answer» Correct Answer - B | |
| 31. |
एक सरल रेखा `(alpha, beta, gamma)` से गुजरती है और इसके दिक् कोज्याएं है । इस सरल रेखा के समीकरण हैंA. `(x)/(l)=(gamma)/(m)=(z)/(n)`B. `(x-alpha)/(l)=(y-beta)/(m)=(z-gamma)/(n)`C. `(x+alpha)/(l)=(y-beta)/(m)=(z+gamma)/(n)`D. `(x-alpha)/(l)=(y+beta)/(m)=(z-gamma)/(n)` |
| Answer» Correct Answer - B | |