The curves `4x^2+9y^2=72` and `x^2-y^2=5a t(3,2)` Then (a) touch each other (b) cut orthogonally intersect at `45^0` (d) intersect at `60^0`

The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if:

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

If the curves (x^2)/(a^2)+(y^2)/(b^2)=1 and (x^2)/(l^2)-(y^2)/(m^2)=1 cut each other orthogonally then.....

The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each other externally b.touch each other internally c.intersect at two points d.none of these

The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at which point?

Two circles x^2 + y^2 + 2x-4y=0 and x^2 + y^2 - 8y - 4 = 0 (A) touch each other externally (B) intersect each other (C) touch each other internally (D) none of these

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

If the circles x^2+y^2-9=0 and x^2+y^2+2ax+2y+1=0 touch each other, then a is -4/3 (b) 0 (c) 1 (d) 4/3

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =