If `x+y=k` is normal to `y^2=12 x ,` then `k` is 3 (b) 9 (c) `-9` (d) `-3`

If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is 12 (b) -12 (c) 24 (d) -24

If x + y = k is a normal to the parabola y^(2) = 12x then the value of k is

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

if (log)_y x+(log)_x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) 15 (d) 30

The length of the transverse axis of the rectangular hyperbola x y=18 is 6 (b) 12 (c) 18 (d) 9

The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve again at (A) (-(22)/9,-2/9) (B) ((22)/9,2/9) (C) (-2,-2) (D) none of these

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

The foot of the perpendicular on the line 3x+y=lambda drawn from the origin is Cdot If the line cuts the x and the y-axis at Aa n dB , respectively, then B C: C A is (a) 1:3 (b) 3:1 (c) 1:9 (d) 9:1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a)2 (b) 0 (c) 4 (d) 1