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If the line x Cos alpha+y Sin alpha=p to...

If the line x `Cos alpha+y Sin alpha=p` touches `x^(2)/a^(2)-y^(2)/b^(2)=1` then `a^(2) Cos^(2)alpha-b^(2) Sin^(2)alpha=`

A

`2p^2`

B

`p^2`

C

p

D

2p

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-HYPERBOLA-Practice Exercise
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  3. If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=...

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  4. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

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  5. The number of tangents to x^(2)//25-y^(2)//9=1 through (5,0) is

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  6. The sum and product of the slopes of the tangents to the hyperbola x^(...

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  7. The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^...

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  8. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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  9. The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))...

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  10. The locus of the point of intersection of two tangents to the hyperbol...

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  11. The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 ...

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  12. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2)//9...

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  13. The equation of the normal to the hyperbola x^(2)-4y^2=5 at (3,-1) is

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  14. Tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles theta...

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  15. Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P. If the product o...

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  16. The chords of contact al P.w.r.t. x^(2)-y^(2)=a^2 and x^(2)+y^(2)=a^(2...

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  17. The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2...

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  18. The point of intersection of two tangents to hyperbola x^(2)/a^(2)-y^(...

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  19. The locus of the midpoints of chords of the hyperbola 3x^(2)-2y^(2)+4x...

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  20. The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

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