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The line lx+my=n is a normal to the elli...

The line lx+my=n is a normal to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1`

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If the length of minor axis of the ellipse (x^(2))/(k^(2)a^(2))+(y^(2))/(b^(2))=1 is equal to the length of transverse axis of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ,and the equation of ellipse is confocal with hyperbola then the value k is equal to

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

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  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

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  3. Find the 17^(th) term in the following sequence whose n^(th) term is a...

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  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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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. Find the 9^(th) term in the following sequence whose n^(th) term is an...

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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 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

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  9. Is 309 a term of the AP 11, 17, 23….?

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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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  11. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

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  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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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. Find the equation of an ellipse whose axes lie along the coordinate ...

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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=16s...

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

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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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