0

Guest

Courses New

Two circles are drawn through the points (a,5a) and (4a,a) to touch the axis of y. Find the angle at which they intersect.

Two circles are drawn through the points (a,5a) and (4a,a) to touch the axis of y. Find the angle at which they intersect.

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
letx^2 + y^2 + 2gx + 2fy + c = 0 be the eqn of circle which has 3 variables g,f, and c.

now if passes thruthe points (a,5a) and (4a,a) so they will satisfy in the eqn

hence we get 2 eqns

also it touches y axis hence f^2 – c = 0 ------(3)

Now solve eqn 1, 2 and 3 and find the circles and hence find angle between them

Thanks

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More