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Two lines through (2,3) from which the circle x^2+y^2=25 intercept chord of length 8 unit have equation

Two lines through (2,3) from which the circle x^2+y^2=25 intercept chord of length 8 unit have equation

Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
4 years ago
Dear Student,

Hint:

Assume the slope of the line to be m and write the eqution of straight line passing through (2,3) and having the slope of m. Solve this line with the circle’s equation to get the two points, Then you can apply the condition for the length of the chord to be 8 to get the values of m.

Thanks, Vj

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