Find k if the length of the tangent segment from (8,-3) to the circle x2+y2−2x+ky−23=0 is √10 units. - Mathematics and Statistics
Find k if the length of the tangent segment from (8,-3) to the circle ` x^2+y^2-2x+ky-23=0` is `sqrt10 ` units.
Length of tangent from a point (x, y)
Given that ` PT=sqrt10`
`10 = 64 +9 -16 - 3k - 23`
`24 - 3k = 0`
`3k = 24`
`k = 8`
Concept: Circle - Length of Tangent Segments to Circle
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