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Find the condition for the line x cos al...

Find the condition for the line x cos `alpha`+y sin `alpha`=p to be a tangent to the ellipse `x^2/a^2+y^2/b^2=1` .

A

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

B

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

C

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

D

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

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The number of values of c such that the straight line y=4x+c touches ...

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  2. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

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  3. Find the condition for the line x cos alpha+y sin alpha=p to be a tang...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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