The order and degree of the differential equation \(\left[\left(\frac{d^2y}{dx^2}\right) - 3\right]^{\frac{1}{3}} = 2\left(\frac{dy}{dx}\right)^{\frac{1}{4}}\) are

Mathematics 2022 MCQ

The integrating factor of the differential equation \(\cos x\frac{dy}{dx} + y\sin x = 1\) is

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Mathematics 2022 MCQ

\(\int\sqrt{1 - 49x^2}\,dx\) is equal to

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Mathematics 2022 MCQ

Let \(y = m\sin rx + n\cos rx\). What is the value of \(\frac{d^2y}{dx^2}\)?

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Mathematics 2022 MCQ

The shortest distances of the point \((1,2,3)\) from \(x, y, z\) axes respectively are

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Mathematics 2022 MCQ

The value of \(\sin\left[2\cot^{-1}\left(\frac{-5}{12}\right)\right]\) is:

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Mathematics 2022 MCQ

Distance between two planes \(x + 2y - z = 5\) and \(2x + 4y - 2z + 2 = 0\) is

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Mathematics 2022 MCQ

If the points \((2, -3)\), \((\lambda, -1)\) and \((0, 4)\) are collinear, then the value of \(\lambda\) is

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Mathematics 2022 MCQ

If \(\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}\) and \(\vec{b} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}\) are two non zero vectors inclined at an angle \(\theta\), then identify the correct option out of the given options (A)…

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