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

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

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)

Find k if the following pairs of circles are orthogonal x^2+y^2-16y-k=0 x^2+y^2+4x-8=0

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 k if the following pairs of circles are orthogonal x^2+y^2-6x-8y+12=0 x^2+y^2-4x+6y+k=0

Find k if the following pairs of circles are orthogonal x^2+y^2-6x-8y+12=0 x^2+y^2-4x+6y+k=0

Which of the following pair of graphs intersect? y=x^2-x a and y=1 y=x^2-2x and y=sinx y=x^2-x+1 and y=x-4

Which of the following points lie on the parabola x^2=4a y ? a. x=a t^2, y=2a t b. x=2a t ,\ y=a t^2 c. x=2a t^2, y=a t d. x=2a t ,\ y=a t^2

Find the equation of the common chord of the following pair of circles x^2+y^2+2x+3y+1=0 x^2+y^2+4x+3y+2=0

Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0