(ii) {(x, y): 0

Find the area of the region :{(x,y):0<=y<=x^(2),0<=y<=x+2;0<=x<=3}

Let f(x,y) = (y^(2) -xy)/(sqrt(x)-sqrt(y)) for (x,y) ne (0,0) . Show that lim_((x,y) to (0,0)) f(x,y) =0

The normal at the point (1,1) on the curve 2y+x^2=3 is (A) x - y = 0 (B) x y = 0 (C) x + y +1 = 0 (D) x y = 0

The normal at the point (1,1) on the curve 2y+x^2=3 is (A) x + y = 0 (B) x y = 0 (C) x + y +1 = 0 (D) x y = 0

if OA and OB are equal perpendicular chords of the circles x^2 +y^2-2x+4y =0, then the equations of OA and OB are where O is the origin, (i) 3x+y=0 and 3x-y=0 (ii) 3x+y=0 and 3y-x=0 (iii) x+3y=0 and y-3x=0 (iv) x+y=0 and x-y=0

Let (2,3) be the focus of a parabola and x + y = 0 and x-y= 0 be its two tangents. Then equation of its directrix will be (a) 2x - 3y = 0 (b) 3x +4y = 0 (c) x +y = 5 (d) 12x -5y +1 = 0

sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!=0 x=y (d) x!=0,y!=0

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b) y=0 (c) x+y=0 (d) x-y=0