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.

Find the maximum number of points of intersection of 6 circles.

Find the angle of intersection of the curves y^2=xandx^2=y

find the angle of intersection of the curve xy=6 and x^2y=12

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

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

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

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^2=4a x and x^2=4b y .

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