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The equations of the tangents to the ell...

The equations of the tangents to the ellipse `x^(2)+4 y^(2)=25` at the point whose ordinate is`2`is

A

`3 x+8 y-25=0` and `3 x-8 y+25=0`

B

`8 x+3 y-25=0` and `3 x+8 y-25=0`

C

`3 x-8 y+25=0` and `3 x+8 y+25=0`

D

`8 x-3 y+25=0` and `8 x-3 y-25=0`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  3. The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

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  4. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  5. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

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  6. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  7. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

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  8. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

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  9. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

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  10. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

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  11. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

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  12. The tangent making an angle 60^(circ) with the major axis and touching...

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  13. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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  14. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

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  15. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  16. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  17. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

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  18. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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  19. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

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  20. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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