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The line p=x cos alpha+y sin alpha becom...

The line `p=x cos alpha+y sin alpha` becomes tangent to `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` if

A

1) `p^(2)=a^(2) cos alpha-b^(2) sin alpha`

B

2) `p=a cos alpha-b sin alpha`

C

3) `p^(2)=a^(2) cos ^(2) alpha-b^(2) sin ^(2) alpha`

D

4)`p^(2)=a^(2) cos ^(2) alpha+b^(2) sin ^(2) alpha`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  3. The line p=x cos alpha+y sin alpha becomes tangent to (x^(2))/(a^(2))-...

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  4. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 is

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  9. Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

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  10. The equation to the hyperbola having its eccentricity 2 and the distan...

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  11. If the distance between the foci and the distance between the directri...

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  14. Which one of the following is independent of alpha in the hyperbola (0...

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