If the line `a x+b y+c=0` is a normal to the curve `x y=1,` then `a >0,b >0` `a >0,b<0` `a<<0,b>>0` (d) `a<0,b<0` none of these

If the line x+y=0 touches the curve 2y^(2)=ax^(2)+b at (1,-1), then

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

If the line x+y=0 touches the curve y=x^(2)+bx+c at the point x=-2 , then : (b,c)-=

If the line x+y=0 touches the curve 2y^(2)=ax^(2)+b at (1, -1), find a and b.

x+y-9=0 is a normal to the parabola curve y^(2)-2y-8x+17=0 at (a,b) then a+b is equal to

If the lines 3x+2y-5=0,2x-5y+3=0,5x+by+c=0 are concurrent then b+c=

I the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in a. H.P. b. G.P. c. A.P. d. none of these

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these