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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. |
`int 1.dx=`A. `x+k`B. `1+k`C. `(x^(2))/(2)+k`D. `log x+k` |
| Answer» Correct Answer - A | |
| 2. |
`int(dx)/(sqrt(x))=`A. `sqrt(x)+k`B. `2sqrt(x)+k`C. `x+k`D. `2/3 x^(3//2)+k` |
| Answer» Correct Answer - B | |
| 3. |
`int_(a)^(b) x^(5)dx=`A. `b^(5)-a^(5)`B. `(b^(6)-a^(6))/(6)`C. `(a^(6)-a^(6))/(6)`D. `a^(5)-b^(5)` |
| Answer» Correct Answer - B | |
| 4. |
`int(dx)/(1+cos x)=`A. `tan.(x)/(2)+k`B. `1/2 tan.(x)/(2)+k`C. `2tan.(x)/(2)+k`D. `tan^(2). (x)/(2)+k` |
| Answer» Correct Answer - A | |
| 5. |
यदि `y=sin(x^(3))`, तो `(dy)/(dx)=`A. `x^(3)cos(x^(3))`B. `3x^(2)sin(x^(3))`C. `3x^(2)cos(x^(3))`D. `cos(x^(3))` |
| Answer» Correct Answer - C | |
| 6. |
`(d)/(dx)(sin^(-1)x+cos^(-1)x)=` |
| Answer» Correct Answer - A | |
| 7. |
`(d)/(dx)(sin^(-1)x)=`A. `(1)/(sqrt(1-x^(2)))`B. `-(1)/(sqrt(1-x^(2)))`C. `2(1-x^(2))`D. `(1-x^(2))` |
| Answer» Correct Answer - A | |
| 8. |
यदि `[(2x-y,5),(3,y)]=[(6,5),(3,-2)]`, तो `x=`A. 3B. 4C. 5D. 8 |
| Answer» Correct Answer - B | |
| 9. |
`|(1,x,x^(2)),(1,y,y^(2)),(1,z,z^(2))|=`A. `(x-y)(y+z)(z+x)`B. `(x+y)(y-z)(z-x)`C. `(x-y)(y-z)(z+x)`D. `(x-y)(y-z)(z-x)` |
| Answer» Correct Answer - D | |
| 10. |
`tan^(-1)x =`A. `cot^(-1)x`B. `(1)/(cot^(-1)x)`C. `cot^(-1). (1)/(x)`D. `-cot^(-1)x` |
| Answer» Correct Answer - C | |
| 11. |
यदि `f(x_(1))=f(x_(2))rArr x_(1)=x_(2)AA x_(1),x_(2) in A`, तो फलन `f:A rarr B` हैA. एकैकीB. अचरC. आच्छादकD. अनेकैक |
| Answer» Correct Answer - A | |
| 12. |
`sin^(-1)(sqrt(3)/2)` का मुख्य मान हैA. `(2pi)/(3)`B. `(pi)/(6)`C. `pi/4`D. `pi/3` |
| Answer» Correct Answer - D | |
| 13. |
रैखिक अवकल समीकरण `(dy)/(dx)+y sec^(2)x=tan x sec^(2)x` का समाकलन गुणक हैA. `tan x`B. `e^(tanx)`C. `log tan x`D. `tan^(2)x` |
| Answer» Correct Answer - B | |