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The curve represents by x=2(cos t+sin ...

The curve represents by
`x=2(cos t+sin t)` and `y=5(cos t-sin t)` is

A

circle

B

a parabola

C

an ellipse

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

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  2. The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

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  3. The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

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  4. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-18 x-20 y-16=0 is

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  5. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

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  6. The sides of the rectangle of greatest area that can be inseribed in t...

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  7. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

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  8. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

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  9. Equation of the circle passing through the intersection of ellipses (x...

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

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  11. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

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  12. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

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  13. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

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  14. The angle between the pair of tangents drawn from the point (1,2) to t...

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  15. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

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  16. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

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  17. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

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  18. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

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  19. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

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  20. The number of values oif c such that the line y=4x+c touches the curve...

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