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RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
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- Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...
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- If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...
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- Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is
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- If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...
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- tan^(-1)(sinx)=sin^(-1)(tanx) holds true for
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- The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...
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- Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...
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- If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...
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- Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...
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- The sum of the roots of the equation tan^(-1)(x+3)-tan^(-1)(x-3)="sin"...
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- For an ellipse having major and minor axis along x and y axes respecti...
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- If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...
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- If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then
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- For the curve y=4x^3-2x^5, find all the points at which the tangents p...
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- Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than
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- If y + b = m(1)(x + a) and y + b = m(2)(x+a) are two tangents to the p...
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