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Consider the lines

\(L_{1}\) : \(\frac{x+1}{3}\) = \(\frac{y+2}{1}\) = \(\frac{z+1}{2}\)

&

\(L_{2}\) : \(\frac{x-2}{1}\) = \(\frac{y+2}{2}\) = ...

Let \(f\) : [1,\(\infty)\) \(\Longrightarrow\) [2,\(\infty)\) be a differentiable function such that f(1)=2. If 6\(\int_1^x f(t) dt = 3xf(x) - x^{3}\) for all x ...

If 5050 \(\frac{\int_0^1 (1-x^{50}0^{100} dx}{\int_0^1 (1-x^{50})^{101} dx}\) = A the A-5050 equals

Line \(y = 2x - b\) cuts the parabola \(y = x^{2} -4x\) at points A & B. Then the value of b for which \(\angle AOB\) (* Where O is Origin*) is ...

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