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If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))=1 re...

If `x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))`=1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

A

`alphain (1infty,1)`

B

`alphain(5,infty)`

C

`alphain(1,4)`

D

`alphain(-1,5)`

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The correct Answer is:
D
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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))=1 represents an ellipse with major...

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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. Find the derivative of (2tanx - 7secx)

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  6. Find the derivative of (5sinx - 6cosx + 7)

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

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

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

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

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  11. Find the perimeter of the parallelogram whose adjacent sides are 3 and...

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  12. Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 a...

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  13. Write the parametric form of equation of tangents drawn from any point...

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

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  15. 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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  16. Find the derivative of x^(2)/2 + x + 1

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  17. Find the derivative of secx + cosecx

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  18. Find the derivative of cos(x - pi/8)

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

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  20. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

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