The product of `x\ a n d\ y` is decreased by 4 is written as `4-x y` (b) `x\ (y-4)` (c) `x y-4` (d) `x y+4`

The quotient of x by y added to the product of x and y is written as (x)/(y)+xy(b)(y)/(x)+xy(c)(xy+x)/(y) (d) (xy+y)/(x)

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

What is the slope of following straight lines corresponding to equations (a) y= 2x (b) y = - 6x (c) y=4x +2 (d) y = 6x -4

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

For 2x + 3y = 4 , y can be written in terms of x as _______ .

The equation of the line intersection of the planes 4x+4y-5z=12 and 8x+12y-13z=32 can be written as: (A) x/2=(y-1)/3=(z-2)/4 (B) x/2=y/3=(z-2)/4 (C) (x-1)/2=(y-2)/3=z/4 (D) (x-1)/2=(y-2)/(-3)=z/4

(a) Draw the graph for line y=3x. (b) y=-x (c) y=2x +4 (d) y=-x+2 (e) y=2x-4

The equation of the locus of points which are equidistant from the points (2,-3) and (3,-2) is (A) x+y=0 (B) x+y=7 (C) 4x+4y=38 (D) x+y=1

If x-y=1 and x^(2)+y^(2)=41, then the value of x+y will be (a)5 or 4(b)-5 or -4 (c) +-9(d)+-1

For the equations given below, tell the nature of graphs. (a) y =2x^(2) (b) y =-4x^(2) +6 (c) y = 6 ^(-4x) (d) y = 4(1 -e^(-2x)) (e) y =(4)/(x) (f) y =-(2)/(x)