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The number of tangents to (x^(2))/(25)+(...

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

A

0

B

1

C

2

D

3

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{:("List"-I,"List"-II),("The number of rational points on the ellipse" (x^(2))/(9)+(y^(2))/(4)=1,4),("The number of integral points on the ellipse" (x^(2))/(9)+(y^(2))/(4)=1,2),("The number of integral points on the ellipse" (x^(2))/(3)+(y^(2))/(1)=1,infty):}

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The condition that the line x/p+y/q=1 to be a tangent to the ellipse x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Let d and d^(') be the perpendicular distances from the foci of an ell...

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