Intersection Of Circle With Other Curves

Intersection of Ellipse with other curve

Intersection of Parabola with other curve

Intersection of Hyperbola with other curve

Intersection of Ellipse with Circle

Intersection of Hyperbola with Circle

Intersection of Parabola with Circle

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

In the given figure, two circles with their respective centres intersect each other at A and B and AB intersects OO at M, then m angleOMA is:

Let f(x) be a differentiable function and f(x)>0 for all x. Prove that the curves y=f(x) and y=sin kxf(x) touch each other at the points of intersection of the two curves.