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The smallest value of k for which both t...

The smallest value of k for which both the roots of the equation `x^2-8kx+16(k^2-k+1)=0` are real, distinct and have values at least 4, is…………

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A DAS GUPTA-Some New Pattern Problems-Exercise
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  2. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

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  3. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

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  4. Let f:R rarr R be a continous function which satisfies f(x)= int (0)^(...

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  5. The smallest value of k for which both the roots of the equation x^2-8...

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  6. Let w be the complex number cos(2pi)/3 + sin(2pi)/3. Then the number o...

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  7. Let sk, k=1,2,3,…,100 denote the sum of the infinite geometric series ...

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  8. The number of all possible values of theta, where 0 lt theta lt pi, f...

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  9. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

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  10. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

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  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  12. If vec a and vec b are vectors in space given by vec a= (hat i - 2vec ...

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  13. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

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  14. Let f be a real-valued differentiable function on R (the set of ...

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