Let be a point on the circle a point on the line and the perpendicular bisector of be the line Then, the coordinates of are
Let the coordinates of and be and respectively. Then,
…(i)
and …(ii)
Since PQ is perpendicular to the line
…(iii)
The mid point of PQ lies on
…(iv)
From (iii) and (iv), we get
Substituting x1 , y1 in (ii), we get
Putting the value of h in , we get
Hence, the coordinates of are or,
Talk to our academic expert!
Similar Questions
The locus of the point which moves in a plane so that the sum of the squares of its distances from the lines
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests