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If \(\cos \alpha, \cos \beta, \cos \gamma\) are direction cosines of a line, then

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$$\text{The second degree homogeneous equation } ax^2 + 2hxy + by^2 = 0 \text{ represents}$$

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2 Total 50% Correct
The unit vector along the direction of \(\vec{a} = 2\hat{i} + 2\hat{j} – \hat{k}\) is

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Three vectors \(\hat{i} + \hat{j}\), \(\hat{i} + \hat{k}\) and \(-\hat{i} – \hat{k}\) are

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Standard deviation of a set of observations is always

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What is the probability that an English alphabet selected at random is a vowel?

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1 Total 100% Correct
\(\lim_{x \to 2} \frac{x^3 – 2^3}{x – 2} =\)

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3 Total 100% Correct
If y = e^{\log(\tan(x^2))} \text{, then } \frac{dy}{dx} =$$

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The derivative of \(\sin^{-1}(\cos x)\) is

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Choose the word closest in meaning to: AMIABLE

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