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Find the middle point of the chord of th...

Find the middle point of the chord of the circle `x^2+y^2=25` intercepted on the line `x-2y=2`

Text Solution

Verified by Experts

The correct Answer is:
`(2//5,-4//5)`

Let the middle point of chord be M(h,k) .
So, equation of OM is `2x+y=0`.
Solving this line with chord `x-2y=2`, we get point M as `(2//5,-4//5)`.
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