JEE Main Mathematics Questionbank

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16 of 16

Question 1 · 16 total

easy+4

If set A has 3 elements, the total number of relations defined on A is:

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Question 2 · 16 total

medium+4

Find the modulus of $\frac{1+i}{1-i}$ .

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Question 3 · 16 total

hard+4

If $\omega$ is an imaginary cube root of unity, then $1 + \omega + \omega^2$ equals:

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Question 4 · 16 total

medium+4

The number of distinct arrangements of the letters of the word ALLAHABAD is:

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Question 5 · 16 total

hard+4

The term independent of x in the expansion of $\left(x + \frac{1}{x^2}\right)^9$ is:

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Question 6 · 16 total

medium+4

Find the sum to infinity of the GP $8 + 4 + 2 + 1 + \dots$

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Question 7 · 16 total

hard+4

$\lim_{x \to 0} \frac{1 - \cos x}{x^2}$ equals:

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Question 8 · 16 total

medium+4

The slope of the tangent to the curve $y = x^3$ at the point where $x = 2$ is:

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Question 9 · 16 total

medium+4

Evaluate $\int_0^{\pi/2} \sin x\, dx$ .

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Question 10 · 16 total

medium+4

The differential equation obtained by eliminating the arbitrary constant from $y = Ce^x$ is:

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Question 11 · 16 total

easy+4

The focus of the parabola $y^2 = 8x$ is:

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Question 12 · 16 total

hard+4

The distance of the point $(1, 2, 3)$ from the plane $2x + 2y + z = 7$ is:

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Question 13 · 16 total

easy+4

The unit vector along $\hat{i} + \hat{j}$ is:

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Question 14 · 16 total

medium+4

A fair coin is tossed three times. The probability of getting exactly two heads is:

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Question 15 · 16 total

easy+4

The value of $\sin 15^\circ \cos 15^\circ$ is:

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Question 16 · 16 total

medium+4

The contrapositive of the statement "if p then q" is:

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JEE Main Mathematics Questions - Chapter-wise Practice