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Find the equation of a curve passing thr...

Find the equation of a curve passing through the point (1.1) if the perpendicular distance of the origin from the normal at any point P(x, y) of the curve is equal to the distance of P from the x-axis.

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A DAS GUPTA-Miscellaneous Exercises-Exercise
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  3. Find the equation of a curve passing through the point (1.1) if the pe...

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  8. Let T1, T2 and be two tangents drawn from (-2, 0) onto the circle C:x^...

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  10. Find the equation of the largest circle with centre (1, 0) that can be...

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  13. Let ABC and PQR be any two triangles in the same plane. Assume that th...

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  14. An unbiased dice, with faces numbered 1, 2, 3, 4, 5, 6, is thrown n ti...

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  15. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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  16. log(3/4)log8(x^2+7)+log(1/2)log(1/4)(x^2+7)^(-1)=-2.

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  17. Total number of solutions of the equation x² -4-[x]=0 are (where (.) d...

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  18. Let a, b be the roots of the equation x^2 - kx + k = 0, k in R. If a^2...

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  19. Two parabola have the focus (3, 2). Their directrices are the x-axis a...

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  20. Let alpha in R. prove that a function f: R-R is differentiable at...

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