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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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A DAS GUPTA-Miscellaneous Exercises-Exercise
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  8. If f: R to [0,∞) be a function such that f(x -1) + f(x + 1) = sqrt3(f...

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  11. Find the equation of circle touching the line 2x + 3y + 1=0 at the poi...

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  12. (int(sin^(3/2)x+cos^(3/2)x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))

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  13. T is a parallelepiped in which A,B,C and D are vertices of one face an...

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  14. f'(0) = lim(n->oo) nf(1/n) and f(0)=0 Using this, find lim(n->oo)((...

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  16. At any point P on the parabola y^2 -2y-4x+5=0 a tangent is drawn which...

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  18. Find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

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  19. if |f(x1)-f(x2)|<=(x1-x2)^2Find the equation of gent to the curve y= f...

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  20. Find the equation of the common tangent to the circle x^2 + y^2 = 16 a...

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