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Given f is increasing, the equation x^(2...

Given f is increasing, the equation `x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1` represents an ellipse with X-axis as major axis if

A

[-1,3]

B

[1,3]

C

(-1,3)

D

(0,5)

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1...

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  2. If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) represents an ellipse with major a...

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  3. The curve represents by the equationx^(2)/(sinsqrt2-cossqrt3)+y^(2)/(s...

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  4. The maximum distance of the centre of the ellipse (x^(2))/(16) +(y^(2)...

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  5. S and T are the foci of the ellipse x^2/a^2+y^2/b^2 = 1 and B is an en...

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  6. A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(...

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  7. Consider the particle travelling clockwise on the elliptical path x^2/...

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  8. C is the centre of the ellipse x^(2)/16+y^(2)/9=1 and A and B are two ...

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  9. Let (alpha,beta) be a point from which two perpendicular tangents can ...

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  10. If a=[t^(2)-3t+4] and b=[3+5t], where [.] donates the greatest integer...

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  11. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  12. An arc of a bridge is semi-elliptical with the major axis horizonta...

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  13. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

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  14. If tangents are drawn from any point on the circle x^(2) + y^(2) = 25...

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  15. the equation of the chord of contact of the pair of tangents drawn to ...

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  16. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

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  17. The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...

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  18. From a point on the axis of x common tangents are drawn to the parabol...

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  19. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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  20. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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