Which of the following line can be normal to parabola `y^2=12 x ?` (a)`x+y-9=0` (b) `2x-y-32=0` (c)`2x+y-36=0` (d) `3x-y-72=0`

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

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, is lamda =

26Which 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 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

the image of the parabola y^(2)=x in the line x+y+4=0 is

The equation of common tangent at the point of contact of two parabola y^(2)=x and 2y=2x^(2)-5x+1 is x+y+1=0 (B) x+2y+1=0( C) x-2y-1=0( D )-x+2y-1=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

The lines x+2y+3=0,x+2y-7=0, and 2x-y-4=0=0 are the sides of a square.The equation of the remaining side of the square can be (a) 2x-y+6=0 (b) 2x-y+8=0 (c) 2x-y-10=0 (d) 2x-y-14=0