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1.

The joint eqution of biscestors of angles between lines x=5 and y=3 isA. `(x-5)(y-3)=0`B. `x^(2) -y^(2) -10 x +6y+16=0`C. `xy=0`D. `xy-5x-3y+15=0`

Answer» Correct Answer - B
Discussion
2.

The point on the curve `6y =x ^(3)+2` at which y- co ordinate is changing 8 times as fast as ` x- ` co -ordinate isA. `(4,11)`B. `(4,-11)`C. `(-4,11)`D. `(-4,-11)`

Answer» Correct Answer - A
Discussion
3.

For what value of k , the function defined by ` f(x) =(log (1+2x) sin x^(0))/(x^(2))` for `x ne 0` `=K ` for `x=0` is continuous at `x=0`?A. `2`B. `1/2`C. `(pi)/(90)`D. `(90)/(pi)`

Answer» Correct Answer - C
Discussion
4.

M and N are mid-point of the diagnols AC and BD respectivley of quadrilateral ABCD, then`bar(AB) + bar(AD)+bar(CB)+bar(CD)`=A. `2 bar(MN)`B. `2bar(NM)`C. `4bar(MN)`D. `4 bar(NM)`

Answer» Correct Answer - C
Discussion
5.

If ` int (f(x))/(log (sin x))dx =log [log sin x]+c ,` then `f(x) =`A. `cot x `B. `tan x `C. `sec x`D. `"cosec"`x

Answer» Correct Answer - A
Discussion
6.

The general solution of the equation `tan ^(2) x=1 ` isA. `n pi +(pi)/(4)`B. `n pi -(pi)/(4)`C. ` n pi +- (pi)/(4)`D. `2 n pi +- (pi)/(4)`

Answer» Correct Answer - C
Discussion
7.

IF ` bar a = hati + hatj +2 hatk , bar b = 2 hati - hatj +hatk and bar c = 3 hati - hatk and bar c = m bara + n barb ` then `m+ n =`

Answer» Correct Answer - C
Discussion
8.

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. `0.3`B. `0.8`C. `0.2`D. `0.5`

Answer» Correct Answer - B
Discussion