Question

find angle of intersection between curves x²+ y² = 2x and y²= x​

Answer 1

given values : x^2+y^2=2x and y^2=x

now by differentiation :

=》2x + 2y.dy/dx =2

=》 dy/dx = (1-x) / y = m1

similarly;

=》 2y.dy/dx = 1

=》 dy/dx = 1/2y = m2

now ; for point of intersection put x=y then

we obtain :

=》 x^2-x =0

so; x = 1 and x =0

by keeping x value in any of the given equations we get y as :

=》 y = +/-1 and y =0

hence ; p1(1,+/-1) and p2(0,0)

therefore , the angle will be '0' degree

thankyou