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Find the equation of the largest circle with centre (1, 0) that can be inscribed in the ellipse `x^2 + 4y^2 = 16`

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A DAS GUPTA-Miscellaneous Exercises-Exercise
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  2. The equation of two equal sides AB and AC of an isosceies triangle ABC...

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

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

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

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

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

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

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

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  14. Find the lim(x to 0) frac{sqrt(x+2) -sqrt2}{root(3)(1-x) - sqrt(1+x)}.

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  15. Two parabolas y(2) = 4a(x – 1l(1)) and x(2) = 4a(y – l(2)) always touc...

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  16. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

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  17. Let f(x),xgeq0, be a non-negative continuous function, and let f(x)...

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  18. Let b!=0 and for j=0,1,2,....,n. Let S(j) be the area of the region bo...

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  19. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

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  20. A hemi-spherical tank of radius 2 m is initially full of water and ...

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