Question84:-If a, b, c are the roots of the equation *x*(3)+px*(2)+qx+r=0", then *1/at+1/b+1/c=*
A: (-)/(r)*

8:-`(0)/(ಗ`
(0:
0:- 9/6:

Correct Answer:- Option-A

a

aA = சி 1
Question85:-The vector projection of ‏مامه لع ودع‎ A= 54-38 is
4 48
ad 760 -2ಓ
4 4 a
8.7 - ^^

. (s/- 3k)

aA A
6
-L (5U'- 3k)
0:17
Correct Answer:- Option-D
Question86:-* (d)/(dx)sinh*(-1)(x)="
A: (1)/(sqrt(1-x*(2)))*
B:-(1)/(sqrt(1+x*(2)))°
©: (1)/(601(^(2)-1)) `
ம: (1)/(1+>^ (2)).
Correct Answer:- Option-B
Question87:-Equation of the tangent at the point *(x_(1),y_(1))° on the parabola ‘y*(2)=4ax°
As yy_(1)=2a(x-+x_(1))°
~y_(1)=4a(x-x_(1))°
:y=y_(1)/x_(1)(x-2a)*
D:-y = 2ax
Correct Answer:- Option-A
Question88:-Rank of the matrix *[[3, 4, 1], [-2, 3, 2], [5, 1, -1]]' 15
A:-0
8:-1
C:-2
D:-3
Correct Answer:- Option-C
Question89:-"lim_((x,y)->(0,0)* *((5x*(2)y)/(2x*(4)+y*(2)))=
A:-0
8:-5/3
(:-5/2
D:-limit does not exist
Correct Answer:- Option-D
Question90:-Let “f(x)=x*(3)-12x+9*. Then f(x) has a local maximum at
Avx = 0
8: = 3
0-2
D:-x = -2
Correct Answer:- Option-D
Question91:-Let ‘W=x*(2)+y*(2) , x = r-S and y = r +S. Then the partial derivative of W with respect to S is
A:-(delW)/(delS)=1*
8:-`(061//)/(0615) ಎ25
C:-*(delW)/(delS:
D:-* (delW)/(delS)=2r°
Correct Answer:- Option-C
Question92:-Solution of the differential equation *(d*(2)y)/(dx*(2))-6dy/dx+13y=0° is
A:-Ae* (3x)+Be*(2x)*

is