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if vertices of an ellipse are (-4,1),(6,...

if vertices of an ellipse are `(-4,1),(6,1)` and `x-2y=2` is focal chord then the equation of the ellipse is

A

`((x - 1)^(2))/(25) + ((y - 1)^(2))/(9) = 1`

B

`((x + 1)^(2))/(25) + ((y + 1)^(2))/(9) = 1`

C

`((x - 1)^(2))/(16) + ((y - 1)^(2))/(25) = 1`

D

`((x + 1)^(2))/(16) + ((y + 1)^(2))/(25) = 1`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-ELLIPSE-Chapter Test
  1. Let S, S' be the focil and BB' be the minor axis of the ellipse (x^(2)...

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  2. If the length of the latusrectum of the ellipse x^(2) tan^(2) theta + ...

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  3. if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord t...

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  4. If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricit...

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  5. The area of the triangle formed by three points on the ellipse x^2/a^2...

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  6. If the chord joining points P(alpha)a n dQ(beta) on the ellipse ((x...

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  7. If P(alpha,beta) is appoint on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

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  8. The tangent at any point P on the ellipse meets the tangents at the ve...

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  9. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

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  10. The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y...

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  11. The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^...

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  12. The locus of points whose polars with respect to the ellipse x^(2)/a^(...

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  13. if the chord of contact of tangents from a point P to the hyperbola x...

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  14. The locus of the poles of tangents to the auxiliary circle with respec...

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  15. The locus of the poles of tangents to the director circle of the ellip...

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  16. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

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  17. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

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  18. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

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  19. If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the no...

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  20. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

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