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explain about conjugate points in circle and related impor†an t points

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Q. The lengths of the tangents from two points

A

B

to a circle are

l

l^{'}

respectively. If the points are conjugate with respect to the circle, then

(A B)^{2}

Q. Find the value of k, if the points

(4, 2)

(k, - 3)

are conjugate points with respect to the circle

x^{2} + y^{2} - 5 x + 8 y + 6 = 0

Q. The lengths of tangents from two given points to a given circle are

t_{1} & t_{2}

. If the two points are conjugate to each other w.r.to the given circle the distance between the points will be

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