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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 ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...

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  2. A rectangular sheet of fixed perimeter with sides having their lengths...

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

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  4. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  5. e total number of local maxima and local minima of the function f(x) =...

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  6. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

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  7. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  8. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  9. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  10. The length of the longest interval in which the function 3sinx-4sin^3x...

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  11. If f(x)=e^(1-x) then f(x) is

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  12. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  13. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  14. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  15. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  16. about to only mathematics

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  17. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

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  18. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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  19. Let p(x) be a real polynomial of least degree which has a local maximu...

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  20. Let f be a function defined on R (the set of all real numbers) such th...

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