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. |
Which of the following equation does not represent a pair of lines ?A. `x^(2)-x=0`B. `xy-x=0`C. `y^(2)-x+1=0`D. `xy+x+y+1=0` |
| Answer» Correct Answer - C | |
| 2. |
the acute angle between the line `bary=(hati+2hatj+hatk)+lambda(hati+hatj+hatk)` and the plane `bary.(2hati-hatj+hatk)=5` isA. `cos^(-1)((sqrt2)/(3))`B. `sin^(-1)((sqrt2)/(3))`C. `tan^(-1)((sqrt2)/(3))`D. `sin^(-1)((sqrt2)/(sqrt3))` |
| Answer» Correct Answer - B | |
| 3. |
IF `sin x ` is the integerating factor (I.F ) of the linear differential equation ` (dy)/(dx) +py =Q ` then P isA. `logsinx`B. `cosx`C. `tanx`D. `cotx` |
| Answer» Correct Answer - D | |
| 4. |
Form the differentialequation of the family of circles touching the y-axis at origin.A. `(x^(2)+y^(2))(dy)/(dx)-2xy=0`B. `x^(2)-y^(2)(dy)/(dx)+2xy=0`C. `(x^(2)-y^(2))(dy)/(dx)-2xy=0`D. `(x^(2)+y^(2))(dy)/(dx)+2xy=0` |
| Answer» Correct Answer - B | |
| 5. |
The degree and order of the differential equation` [ 1+((dy)/(dx))^(3)]^(7/3)=7((d^(2)y)/(dx^(2)))` respectively areA. 3 and 7B. 3 and 2C. 7 and 3D. 2 and 3 |
| Answer» Correct Answer - B | |
| 6. |
The joint equation of bisectors of angles between lines `x=5` and `y=3` isA. `(x-5)(y-3)=0`B. `x^(2)-y^(2)-10x+6y+16=0`C. `xy=0`D. `xy-5x-3y+15=0` |
| Answer» Correct Answer - B | |
| 7. |
Evaluate the following : `int_(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))dx`A. 1B. 3C. 2D. 0 |
| Answer» Correct Answer - D | |
| 8. |
Direction cosines of the line `(x+2)/(2)=(2y-5)/(3),z=-1` areA. `(4)/(5),(3)/(5),0`B. `(3)/(5),(4)/(5),(1)/(5)`C. `(-3)/(5),(4)/(5),0`D. `(4)/(5),(-2)/(5),(1)/(5)` |
| Answer» Correct Answer - A | |
| 9. |
If `int(f(x))/(log(sinx))dx=log[log sinx]+c`, then f(x) is equal toA. `cot x`B. `tanx`C. `secx`D. `cosecx` |
| Answer» Correct Answer - A | |
| 10. |
If `2tan^(-1)(cosx)=tan^(-1)(2cosecx)`, then sinx +cosx is equal toA. `2sqrt2`B. `sqrt2`C. `(1)/(sqrt2)`D. `(1)/(2)` |
| Answer» Correct Answer - B | |
| 11. |
The shaded part of the given figure indicates the feasible region Then the constraints areA. `x,yge0,x+yge0,xge5,yle3`B. `x,yge0,x-yge0,xle5,yle3`C. `x,yge0,x-yge0,xle5,yge3`D. `x,yge0,x-yle0,xle5,yle3` |
| Answer» Correct Answer - B | |
| 12. |
Which of the following quantified statement is ture ?A. The square of every real number is positiveB. There exists a real number whose square is negativeC. There exists a real number whose square is not negativeD. Every real number is rational |
| Answer» Correct Answer - C | |
| 13. |
If the p.d.f. of a r.v. X is given as then F(0)=A. `P(Xlt0)`B. `P(Xgt0)`C. `1-P(Xgt0)`D. `1-P(Xlt0)` |
| Answer» Correct Answer - C | |
| 14. |
If `overset(bar)a=overset(^)i+overset^(j)-2overset(^)k,overset(bar)b=2overset(^)i-overset(^)j+overset(^)k andoverset(-)c=moverset(bar)a+noverset(-)b,` then m+n = |
| Answer» Correct Answer - C | |
| 15. |
` int _(0)^(pi/2) ((root(n)secx)/(root(n) ( secx+ root(n)"cosec"x)))dx` is equal toA. `(pi)/(2)`B. `(pi)/(3)`C. `(pi)/(4)`D. `(pi)/(6)` |
| Answer» Correct Answer - C | |
| 16. |
The general solution of the equation `tan^(2)x=1` isA. `npi+(pi)/(4),n inZ`B. `npi-(pi)/(4),ninZ`C. `npipm(pi)/(4),ninZ`D. `2npipm(pi)/(4),ninZ` |
| Answer» Correct Answer - C | |
| 17. |
`(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2)))` is equal toA. `(4)/(5)`B. `(-4)/(5)`C. `(3)/(5)`D. 0 |
| Answer» Correct Answer - B | |
| 18. |
If p : Every square is a rectangle. q : Every rhombus is a kite, then truth values of `p to q` and `p harr q` are _________ and ________ respectively.A. F,FB. T,FC. F,TD. T,T |
| Answer» Correct Answer - D | |
| 19. |
IF r.v X : waiting time in minutes for bus and p.d.f of X is given by ` f(x) ={{:((1)/(5),0 le x le 5),(0,"otherwise ,"):}` then probabaility of waiting time not more than 4 minutes isA. 0.3B. 0.8C. 0.2D. 0.5 |
| Answer» Correct Answer - B | |