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A DAS GUPTA-Some New Pattern Problems-Exercise
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- Match the statements/expressions given in Column I with the values giv...
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- Match the statements/expressions given in Column I with the values giv...
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- Match the statements/expressions given in Column I with the values giv...
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- Match the statements/expressions given in Column I with the values giv...
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- Match the statements/expressions given in Column I with the values giv...
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- Let (x, y, z) be points with integer coordinates satisfying the system...
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- Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...
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- The centres of two circles C1 and C2, each of unit radius are at a dis...
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- Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and l...
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- The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...
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- If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...
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- Let f:R rarr R be a continous function which satisfies f(x)= int (0)^(...
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- The smallest value of k for which both the roots of the equation x^2-8...
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- Let w be the complex number cos(2pi)/3 + sin(2pi)/3. Then the number o...
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- Let sk, k=1,2,3,…,100 denote the sum of the infinite geometric series ...
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- The number of all possible values of theta, where 0 lt theta lt pi, f...
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- The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...
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- The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...
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- The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...
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