" (c) "y^(2)=4ax

Which of the following pair(s) of curves is/are ortogonal? (a) y^(2)=4ax,y=e^(-x//2a) (b) y^(2)=4ax,x^(2)=4ay at (0,0) (c) xy=a^(2),x^(2)-y^(2)=b^(2) (d) y=ax,x^(2)+y^(2)=c^(2)

Number of common tangent(s) with finite & (real) slope drawn to the curves xy=c^(2) & y^(2)=4ax is (a>0)

The total number of common tangents to the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 is

Area common to the curves y^(2)=ax and x^(2)+y^(2)=4ax is equal to

Number of common tangent with finite slope to the curves xy=c^(2) and y^(2)=4ax is:

Points A,B ,C , D on y^(2) = 4ax have parameters t_(1) , t_(2), t_(3), t_(4) respectively . If AB || CD , then

Points A,B,C,D, on y^(2) = 4ax have parameters t_(1) , t_(2), t_(3) , t_(4) respectively . If AB bot CD then (t_(1) + t_(2)) (t_(3) + t_(4)) =

The point of contact of y^(2) = 4ax and the tangent y = mx +c is

If quad {(x,y):y^(2)=4ax}:B={(x,y):y^(2)=-4ax};c={(x,y):x^(2)=4ay} and D={(x,y):x^(2)=-4ay} Find the number of points in A nn B nn C nn D.