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Consider the ellipse x^(2)/(tan^(2)alpha...

Consider the ellipse `x^(2)/(tan^(2)alpha)+y^(2)/(sec^(2)alpha)=1` where`alphain(0,pi/2)`. Which of the following quantities would vary as `alpha` varies?

A

degree of flatness

B

ordinate of the vertex

C

coordinate of the foci

D

length of latusrectum

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The correct Answer is:
A, C, D
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ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
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  3. Find the equation of the common tangent in the 1st quadrant to the cir...

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  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  6. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

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

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  8. The line passing through the extremity A of the major exis and extremi...

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  10. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  15. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

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  16. Equation of the ellipse whose axes are the axes of coordinates and ...

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  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  18. Statement 1: An equation of a common tangent to the parabola y^2=16...

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  19. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

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  20. the equation of the circle passing through the foci of the ellip...

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  21. A vertical line passing through the point (h, 0) intersects the ellips...

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