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If the focii of (x^(2))/(16)+(y^(2))/(4)...

If the focii of `(x^(2))/(16)+(y^(2))/(4)=1` and `(x^(2))/(a^(2))-(y^(2))/(3)`=1 coincide, then value of a is

A

`sqrt(3)`

B

`(1)/(sqrt(3))`

C

2

D

3

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The correct Answer is:
D
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The number of values oif c such that the line y=4x+c touches the curve...

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  2. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

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  3. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

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  4. If the latus-rectum of the ellipse is half the minor axis, then its ec...

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  5. If C is the centre and L and L' are the ends of the latus-rectum of th...

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  6. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

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  7. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

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

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  9. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

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  10. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

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  11. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

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  12. The line passing through the extremity A of the major axis and extremi...

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  13. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

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  14. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

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  15. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

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  16. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  17. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

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  18. The eccentricity of an ellipse with centre at the origin which meets t...

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  19. The equation to the ellipse (referred to its axes as the axes of x and...

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

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