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The two circles x 2 +y 2 +2ax-c 2 =0 and x 2 +y 2 +2bx-c 2 =0 meet in points P and Q. Parallel lines are drawn through P and Q to meet the circles in R and S. Prove that the locus of mid point of RS is the circle x 2 +y 2 +(a+b)x=0.

The two circles x2+y2+2ax-c2=0 and x2+y2+2bx-c2=0 meet in points P and Q. Parallel lines are drawn through P and Q to meet the circles in R and S. Prove that the locus of mid point of RS is 
the circle  x2+y2+(a+b)x=0. 

Grade:11

1 Answers

RHYTHM KAUSHAL
askIITians Faculty 56 Points
2 years ago
dear student,
follow the attached answer611-561_WhatsApp Image 2020-07-16 at 22.05.40.jpeg611-1438_WhatsApp Image 2020-07-16 at 22.05.45.jpeg

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