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Find a point on the curve x^2 + 2y^2 = ...

Find a point on the curve ` x^2 + 2y^2 = 6`, whose distance from the line ` x +y =7`, is minimum.

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc, then in (-oo,oo)

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  2. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

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

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

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  5. The maximum value of (cosalpha(1))-(cos alpha(2))...(cosalpha(n)), u...

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

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

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

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

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

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  11. For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...

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

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  13. Let f:R rArr R be defined as f(x)=|x|+|x^2-1| The total number of p...

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

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

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  16. The maximum value of the expression (1)/(sin^(2)theta+3sinthetacosthet...

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  17. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

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  18. A wire of length 2 units is cut into two parts which are bent respecti...

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  19. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

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  20. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

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