Which one of the following curves cut the parabola at right angles? `x^2+y^2=a^2` (b) `y=e^(-x//2a)` `y=a x` (d) `x^2=4a y`

Find the angle between curve y^2=4x and y=e^(-x/2

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

Prove that the curves x=y^(2) and cut at right angles* if cut at right angles* if 8k^(2)=1

Which of the following points lie on the parabola x^(2)=4ay?x=at^(2),y=2at b.x=2at,y=at^(2) c.x=2at^(2),y= ast x=2at,y=at^(2)

Analyse the following equations if they represent parabola(s) or part of parabola(s) ? (a) y=x|x| , (b) x=sqrt(-y) (c ) x^(2)=y^(4) , (d) x=e^(t),2t=log_(e)y

Which of the following pair(s) of curves is/are orthogonal? y^(2)=4ax;y=e^(-(1)/(2))y^(2)=4ax;x^(2)=4ayat(0,0)xy=a^(2);x^(2)-y^(2)=b^(2)y=ax;x^(2)+y^(2)=c^(2)

Find the angle of intersection of the following curves: xy=6 and x^(2)y=12y^(2)=4x and x^(2)=4y

Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=512 .

Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=8 .