InterviewSolution
Saved Bookmarks
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. |
मान निकाले `|(1,-1),(y,x)|`A. `x+y`B. `x-y`C. `-y-x`D. `1-x` |
| Answer» Correct Answer - A | |
| 2. |
यदि `2 [(3,2),(5,x)]+[(1,y),(0,1)]=[(7,0),(10,5)]` तोA. `(x=-2, y=8)`B. `(x=2, y=-4)`C. `(x=3, y=-6)`D. `(x=-3, y=6)` |
| Answer» Correct Answer - B | |
| 3. |
`(d)/(dx)[ log x] = ?`A. `1/x`B. `-(1)/(x^(2))`C. 1D. `(1)/(x^(2))` |
| Answer» Correct Answer - A | |
| 4. |
`|(1,2,4),(1,3,6),(1,4,9)|` के मान है -A. 1B. -1C. 0D. 2 |
| Answer» Correct Answer - A | |
| 5. |
वक्र `x=t^(2)+3t-8, y=2t^(2)-2t-5` के बिंदु (2, -1) पर स्पर्श रेखा की प्रवणता है -A. `(12)/(7)`B. `(-6)/(7)`C. `(6)/(7)`D. `-(12)/(7)` |
| Answer» Correct Answer - C | |
| 6. |
बिंदु `(x,y,z)` का स्थिति सदिश है -A. `x vec(i)-y vec(j) - zvec(k)`B. `x vec(i)+ y vec(j)- z vec(k)`C. `x vec(i)-yvec(j)+z vec(k)`D. `x vec(i)+ y vec(j)+z vec(k)` |
| Answer» Correct Answer - D | |
| 7. |
`( vec(a)xx vec(b)).vec(b) = ?`A. 1B. -1C. 2D. 0 |
| Answer» Correct Answer - D | |
| 8. |
`P(E)=?`A. `n(E)+n(S)`B. `(n(S))/(n(E))`C. `n(E)-n(S)`D. `(n(E))/(n(S))` |
| Answer» Correct Answer - D | |
| 9. |
`vec(k) xx vec(k)=?`A. 1B. -1C. `k^(2)`D. 0 |
| Answer» Correct Answer - D | |
| 10. |
यदि `vec(a)=vec(i)+vec(j)+2 vec(k)` और `vec(b)=3 vec(i)+2 vec(j)- vec(k)` तो ` ( vec(a)+3 vec(b)).( 2 vec(a)-vec(b))` का मान है -A. 15B. 18C. -18D. -15 |
| Answer» Correct Answer - D | |
| 11. |
`sin^(-1)((1)/(sqrt(2)))=?`A. `pi/4`B. `-(pi)/(4)`C. `(pi)/(2)`D. `-(pi)/(2)` |
| Answer» Correct Answer - A | |
| 12. |
सदिश `19 vec(i) + 5 vec(j) - 6 vec(k)` का मापांक है -A. `sqrt(322)`B. `sqrt(420)`C. `sqrt(421)`D. `sqrt(422)` |
| Answer» Correct Answer - D | |
| 13. |
`int (dx)/(1+x^(2))=?`A. `tan x + c`B. `tan 2 x + c`C. `cot x + c`D. `- cot^(-1) x + c` |
| Answer» Correct Answer - D | |
| 14. |
`int sec x dx = ?`A. `log | sec x | + c`B. `log | sec x + tan x | + c`C. `log | sec x - tan x | + c`D. `sec x tan x + c` |
| Answer» Correct Answer - B | |
| 15. |
`int (dx)/(x^(2)+16)=?`A. `(1)/(16) tan^(-1). (x)/(16)+k`B. `(1)/(4) tan^(-1). (x)/(4) +k`C. `1/4 tan^(-1) . (4)/(x) +k`D. `1/4 tan^(-1). (16)/(x^(2))+k` |
| Answer» Correct Answer - B | |
| 16. |
`int_(0)^(pi/2) cos x dx = ?`A. -1B. 1C. `pi/2`D. 0 |
| Answer» Correct Answer - B | |
| 17. |
`int_(-(pi)/(2))^(pi/2) sin^(9) x dx=?`A. -1B. 0C. 1D. `pi/2` |
| Answer» Correct Answer - B | |
| 18. |
यदि `P(A)=3/8, P(B)=1/2, P(A nnB)=1/4`, तो `(P uu B)=?`A. `2/3`B. `1/3`C. `1/2`D. `5/8` |
| Answer» Correct Answer - D | |
| 19. |
`(d)/(dx) [ sin^(-1) x + cos^(-1) x ] = ?` |
| Answer» Correct Answer - A | |
| 20. |
`int_(0)^(1)(dx)/(1+x^(2))=?`A. `-(pi)/(4)`B. `(pi)/(4)`C. `pi/2`D. `-(pi)/(2)` |
| Answer» Correct Answer - B | |
| 21. |
किसी समतल की सभी सरल रेखाओं के समुच्चय में R " लम्ब होने का संबंध है" तो संबंध R-A. स्वतुल्य और संक्रामक हैB. सममित और संक्रामक हैC. सममित हैD. इनमें से कोई नहीं |
| Answer» Correct Answer - C | |
| 22. |
`f: A rarr B` आच्छादक फलन होगा, यदि -A. `f(A) sub B`B. `f(A)=B`C. `f(A) sup B`D. `f(A)!=B` |
| Answer» Correct Answer - B | |
| 23. |
`A=[(3,6),(5,-4)], B=[(7,8),(5,6)] rArr 2A+3B=?`A. `[(27,24),(22,10)]`B. `[(27,36),(25,10)]`C. `[(27,36),(25,15)]`D. `[(27,36),(35,10)]` |
| Answer» Correct Answer - B | |
| 24. |
`int_(2)^(1) (dx)/(x)=?`A. `log. (2)/(3)`B. `log. (3)/(2)`C. `log. (1)/(2)`D. `log. (x)/(2)` |
| Answer» Correct Answer - C | |
| 25. |
`int x^(n) dx, (n!=0)=?`A. `(x^(n-1))/(n-1)+k`B. `(x^(n+1))/(n+1)+k`C. `x^(n-1)+k`D. `x^(n-1)+k` |
| Answer» Correct Answer - B | |
| 26. |
फलन `f(x)=(log x)/(x)` का उच्चिष्ठ मान है -A. 1B. `2/e`C. eD. `1/e` |
| Answer» Correct Answer - D | |
| 27. |
यदि `f(x_(1))=f(x_(2)) rArr x_(1)=x_(2) AA x_(1), x_(2) in A`, तो `f: A rarr B` कैसा फलन होगा ?A. एक-एक ( एकैंक )B. अचरC. आच्छादकD. अनेक-एक ( अनेकैक ) |
| Answer» Correct Answer - A | |
| 28. |
अवकल समीकरण `(d^(2)y)/(dx^(2))+x^(3)((dy)/(dx))^(3)=x^(4)` की कोटि है -A. 1B. 2C. 4D. 3 |
| Answer» Correct Answer - B | |
| 29. |
z-अक्ष की दिक् कोज्याऐं हैं -A. (0,0,0)B. (1,0,0)C. (0,1,0)D. (0,0,1) |
| Answer» Correct Answer - D | |
| 30. |
यदि `-1 lt x lt 1`, तो `2 tan^(-1) x = ?`A. `sin^(-1). (2x)/(1+x^(2))`B. `sin^(-1). (2x)/(1-x^(2))`C. `sin^(-1). (1-x^(2))/(1+x^(2))`D. `sin^(-1). (1+x^(2))/(1-x^(2))` |
| Answer» Correct Answer - A | |
| 31. |
निम्नलिखित आव्यूहों में कौन `3xx3` क्रम के एकांक आव्यूह है ?A. `[(1,0,0),(1,0,0),(1,0,0)]`B. `[(1,0,0),(0,1,0),(0,0,1)]`C. `[(0,0,1),(0,0,1),(0,0,1)]`D. `[(0,1,0),(0,1,0),(0,1,0)]` |
| Answer» Correct Answer - B | |