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If y=x+c is a tangent to the ellipse 9 x...

If `y=x+c` is a tangent to the ellipse
`9 x^(2)+16 y^(2)=144`, then`c`=

A

5

B

4

C

6

D

2

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The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. The centre of the ellipse 9 x^(2)+5 y^(2)-36 x-50 y+116=0 is

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  3. If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144, thenc=

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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. Eccentricity of the ellipse 25 x^(2)+9 y^(2)-150 x-90 y+225=0

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  6. An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the co...

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  7. An ellipse has a minor axis of Iength 6 and the distance between its f...

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  8. In an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the distance betwee...

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  9. The angle between the lines joining the foci of an ellipse to an extre...

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  10. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

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  11. The locus of the point of intersection of two perpendicular tangents t...

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  12. An ellipse has its centre (1,-1) and semi major axis is 8, which passe...

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  13. The distance between the foci is 6, e=(1)/(2), the length of the major...

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  14. Equation of the tangent and the normal drawn at the point (6,0) on the...

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

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

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  17. The equation to the ellipse whose foci are (pm2,0) and eccentricity (1...

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  18. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  19. The eccentricity of an ellipse, with its centre at origin is (1)/(2) t...

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  20. Area of the greatest rectangle that can be inscribed in the ellipse (x...

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