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A curve is given by the equations x=sec^...

A curve is given by the equations `x=sec^2theta,y=cotthetadot` If the tangent at `Pw h e r etheta=pi/4` meets the curve again at `Q ,t h e n[P Q]` is, where [.] represents the greatest integer function, _________.

A

`sqrt(15)`

B

`3/2sqrt5`

C

`1/2sqrt(15)`

D

none

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The correct Answer is:
B
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ML KHANNA-TANGENTS AND NORMALS-SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)
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  12. The normal to a given curve is parallel to x-axis if

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  14. The tangent to the curve y = e^(2x) at the point (0, 1) meets the x a...

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  17. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

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  19. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

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