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The x-intercept of the tangent at any ar...

The x-intercept of the tangent at any arbitrary point of the curve `a/(x^2)+b/(y^2)=1` is proportional to square of the abscissa of the point of tangency square root of the abscissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

A

square of the abscissa of the point of tangency

B

square root of the absciss of the point of tangency

C

cube of the abscissa of the point of tangency

D

cube root of the abscissa of the point of tangency

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The correct Answer is:
C
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The x-intercept of the tangent at any arbitrary point of the curve (a)/(x^(2))+(b)/(y^(2))=1 is proportional to square of the abscissa of the point of the tangency square root of the absissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

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The abscissa of a point is the distance of the point from

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Show that equation to the curve such that the y-intercept cut off by the tangent at an arbitrary point is proportional to the square of the ordinate of the point of tangency is of the form a/x+b/y=1 .

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