The coefficient of `x^2` in `-5/3\ x^2y` is equal to :-
(a)`-5/3` (b) `-5/3y` (c)`5/3` (d) `5/3y`

(2/3)^(-5) is equal to (a) ((-2)/3)^5 (b) (3/2)^5 (c) (2^-5)/3 (d) 2/(3^5)

The sum of the coefficients in the terms of 2x^2y-3x y^2+4x y is (a) -3 (b) 3 (c) 9 (d) 5

The coefficient of x^2 y^5 z^3 in the expansion of (2x + y + 3z)^10 is

x^2\ x\ \ 2y^3\ x\ \ 5x^3y^2 is equal to: (a) 10 x^2y^5 (b) 10 x^5y^2 (c) 10 x^5y^5 (d) x^5y^5

Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/(sintheta)=5,"where" 'theta'"is parameter"} B= {(x,y)|(x-3)/(cos phi)=(y-4)/(sin phi)=r} C= { (x,y)|(x-3)^(2)+(y-4)^(2)leR^(2)} If phi is fixed and r varies and (A cap B) =1 , then sec phi is equal to (a) (5)/(4) (b) (-5)/(4) (c) (5)/(3) (d) (-5)/(3)

The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

A line is perpendicular to the line 2x-3y+5=0 and passes through the points (15, beta) and (7, 17) then value of beta will be equal to (A) 35/3 (B) -35/3 (C) 5 (D) -5

If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5) , then (a) 5x=y (b) x=5y (c) 3x=2y (d) 2x=3y

Add : 5x^(3)y, - 2/3 x^(3)y

If y=x^(3)-12x^(2)+45x-13 ,then values of x at which rate of change of y with respect to x is zero are (a) 3,5 (b) 3,-5 (c) -3,5 (d) -3,-5