CBSE Class 12 Maths Questionbank

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16 of 16

Question 1 · 16 total

easy+1

The function $f : R \to R$ defined by $f(x) = 2x$ is:

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Question 2 · 16 total

medium+1

The principal value branch of $\cos^{-1}x$ is:

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Question 3 · 16 total

medium+1

If A and B are matrices such that AB is defined, then $(AB)^T$ equals:

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Question 4 · 16 total

medium+1

If A is a $3 \times 3$ matrix with $|A| = 4$ , find $|2A|$ .

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Question 5 · 16 total

hard+1

The derivative of $x^x$ ( $x > 0$ ) is:

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Question 6 · 16 total

medium+1

The function $f(x) = x^2 - 4x + 5$ attains its minimum value of:

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Question 7 · 16 total

medium+1

Evaluate $\int_0^1 2x\ dx$ .

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Question 8 · 16 total

hard+1

The area bounded by the curve $y = x^2$ , the x-axis, and the lines $x = 0$ to $x = 3$ is:

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Question 9 · 16 total

medium+1

The order and degree of $\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^3 + y = 0$ are respectively:

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Question 10 · 16 total

easy+1

Two non-zero vectors are perpendicular if their dot product equals:

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Question 11 · 16 total

medium+1

The direction cosines of the z-axis are:

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Question 12 · 16 total

easy+1

In a linear programming problem with a bounded feasible region, the optimal value of the objective function occurs:

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Question 13 · 16 total

hard+1

Bayes' theorem computes conditional probability using:

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Question 14 · 16 total

medium+1

Two fair coins are tossed together. Find the probability of getting exactly one head.

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Question 15 · 16 total

easy+1

$\tan^{-1}(1) + \cot^{-1}(1)$ equals:

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Question 16 · 16 total

medium+1

The projection of vector $\vec{a}$ on vector $\vec{b}$ is given by:

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