If from any point on the asymptotes, a straight line is drawn perpendicular to the transverse axis then the product of the segment of this line intercepted between the point and the curve is always equal to the
A
Square of latus rectum
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B
Sum of conjugate and transverse axes
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C
Square of semi-conjugate axis
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D
Square of semi-transverse axis
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Solution
The correct option is C Square of semi-conjugate axis If from any point on the asymptotes, a straight line is drawn perpendicular to the transverse axis then the product of the segment of this line intercepted between the point and the curve is always equal to the square of semi-conjugate axis.