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The line xcosalpha+ysinalpha=p is a tang...

The line `xcosalpha+ysinalpha=p` is a tangent to the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1`. The point of contact is

A

`(a^(2)/p, b^(2)/p)`

B

`(a^(2)/(p""sin^(2)alpha), b^(2)/(pcos^(2)alpha))`

C

`((a^(2)sin^(2)alpha)/p, (b^(2)cos^(2)alpha)/p)`

D

`((a^(2)cosalpha)/p, (b^(2)sinalpha)/p)`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. Find the condition for the line x cos alpha+y sin alpha=p to be a tang...

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  2. The condition that the line x/p+y/q=1 to be a tangent to the ellipse x...

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  3. The line xcosalpha+ysinalpha=p is a tangent to the ellipse x^(2)//a^(2...

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

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  5. The sum of the slopes of the tangents to the ellipse x^(2)//9+y^(2)//4...

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  6. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

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  7. The total number of real tangents that can be drawn to the ellipse 3x^...

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  8. If any tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 intercepts e...

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  9. The equation to the director circle of the ellipse 2x^(2)+3y^(2)=6 is

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  10. The equation to the auxiliary circle of x^(2)/12+y^(2)/18=1 is

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  11. The equation to the circle on S^(')S as diameter where S and S^(') are...

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  12. The radius of the circle passing through the foci of the ellipse x^(2)...

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  13. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

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  14. The locus of the point of intersection of the perpendicular tangents t...

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  15. The locus of the point of intersection of two tangents to the ellipse ...

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  16. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

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  17. The product of the perpendiculars from the foci on any tangent to the...

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  18. If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...

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  19. Perpendiculars are drawn from the points (0, pm ae) on any tangent to ...

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  20. The sum of the squares of the perpendiculars on any tangent to the ell...

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