0

Guest

Courses New

find the centre of the circle passing through the points (3,-2) ,(-2,0) and has its centre on the line 2x-y=3

find the centre of the circle passing through the points (3,-2) ,(-2,0) and has its centre on the line 2x-y=3

Grade:12th pass

1 Answers

Abhishek Singh
105 Points
9 years ago
the equation of a family of circles passing through the given pts are

(x-3)(x+2)+(y+2)y+k(5y+2x+4)=0  where k is a parameter
the centre of circle is     1-2k/2 , -(5k+2)/2
Since this lies on the given line by substituting we get k=2
hence circle is x2+y2+ 3x+12y+2=0

Think You Can Provide A Better Answer ?

Other Related Questions on Discuss with colleagues and IITians

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

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