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The slop of the tangent to the ellipse (...

The slop of the tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) =1` at the point `(a cos theta, b sin theta)`- is

A

`(b)/(a) tan theta`

B

`(b)/(a) cot theta`

C

`-(b)/(a)tan theta`

D

`-(b)/(a) cot theta`

Text Solution

Verified by Experts

The correct Answer is:
D
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CHHAYA PUBLICATION-TANGENT AND NORMAL -MULTIPLE CHOICE TYPE QUESTIONS
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  8. The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2...

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  11. The slope of the tangent to the rectangular hyperbola xy=c^(2) at the ...

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  12. The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (...

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  13. The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))...

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  14. The slop of the normal to the reactangular hyperbola xy=c^(2) point (...

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  15. The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

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