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A vertical line passing through the poin...

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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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Exersise-3 Part I
  1. If f(x) is a polynomial of degree 4 having extremum at x=1,2 and lim(x...

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

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

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  4. The number of distinct real roots of x^4-4x^3+12 x 62+x-1=0i sdot

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

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

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  7. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

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

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

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  10. The funciton f(X) =2|x|+|x+2|-||x+2|-|x|| has a local mimimum or a lo...

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  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

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  12. Let a in R and let f: Rvec be given by f(x)=x^5-5x+a , then (a) f(x...

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  13. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  14. A cylindrical container is to be made from certain solid material with...

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  15. Let f,g:[-1,2]vecR be continuous functions which are twice differentia...

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  16. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

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  17. If f:R->R is a twice differentiable function such that f''(x) > 0 for ...

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  18. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

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  19. If f(x) = \begin{vmatrix} cos2x & cos2x & sin2x \\ -cosx & cosx & -...

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  20. For every twice differentiable function f: R to [-2,2] with (f^(0))^(2...

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