The following line(s) is (are) tangent to the curve `y=x^2 - x` (A) `x-y=0` (B) `x+y=0` (C) `x-y=1` (D) `x+y=1`

Which of the following line can be tangent to the parabola y^2=8x ? (a) x-y+2=0 (b) 9x-3y+2=0 (c) x+2y+8=0 (d) x+3y+12=0

Which of the following line can be tangent to the parabola y^2=8x ? x-y+2=0 (b) 9x-3y+2=0 x+2y+8=0 (d) x+3y+12=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 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

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

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 to the curve x^2=4y passing (1,2) is (A) x + y = 3 (B) x y = 3 (C) x + y = 1 (D) x y = 1

Which of the following lines have the intercepts of equal lengths on the circle, x^2+y^2-2x+4y=0 (A) 3x -y= 0 (B) x+3y=0 (C) x+3y+10=0 (D) 3x-y-10=0

The matrix [(0,1),(1,0)] is the matrix of reflection in the line (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

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