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A vertical line passing through the point `(h, 0)` intersects the ellipse `x^2/4+y^2/3=1` at the points `P` and `Q`.Let the tangents to the ellipse at P and Q meet at `R`. If `Delta (h)` Area of triangle `DeltaPQR`, and `Delta_1 = max_(1/2<=h<=1)Delta(h)` and `Delta_2 = min_(1/2<=h<=1) Delta (h)` Then `8/sqrt5 Delta_1-8Delta_2`

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ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The locus of the foot of prependicular drawn from the center of the el...

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  16. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  17. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

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  18. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

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  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

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  20. The eccentricity of an ellipse whose centre is at the origin is 1/2. I...

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