The parabola `y^2=4x` and the circle having its center at (6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

The ellipse 4x^(2) + 9y^(2) = 36 and the hyperbola 4x^(2) – y^(2) = 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics is

Find the angle of intersection of the curves y^(2)=x and x^(2)=y

The line through (4, 3) and (-6, 0) intersects the line 5x+y=0 . Find the angles of intersection.

Find the angle of intersection of curve y=4-x^2 and y=x^2

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the angle of intersection of the curves y=x^(2) and y=4-x^(2) .

Find the angle of intersection of the curves y =4-x^(2) and y=x^(2)

The ellipse 4x^(2)+9y^(2)=36 and the hyperbola a^(2)x^(2)-y^(2)=4 intersect at right angles.Then the equation of the circle through the points of intersection of two conics is

Find the angle of intersection of x y=6 and x^2y=12