Previous 10 Questions — JEE Main 2017 (8 April Morning Shift)
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If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in Engli…
Topic: JEE Main 2017 (8 April Morning Shift)
If the arithmetic mean of two numbers a and b, a>b>0, is five times their geometric mean, then $\dfrac{a+b}{a-b}$ is eq…
Topic: JEE Main 2017 (8 April Morning Shift)
Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x-1 and it leaves remai…
Topic: JEE Main 2017 (8 April Morning Shift)
Let $A$ be any $3\times 3$ invertible matrix. Then which one of the following is not always true?
Topic: JEE Main 2017 (8 April Morning Shift)
If (27)999 is divided by 7, then the remainder is :
Topic: JEE Main 2017 (8 April Morning Shift)
The number of real values of $\lambda$ for which the system of linear equations$2x+4y-\lambda z=0$$4x+\lambda y+2z=0$$\…
Topic: JEE Main 2017 (8 April Morning Shift)
Next 10 Questions — JEE Main 2017 (8 April Morning Shift)
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Let $z\in\mathbb{C}$, the set of complex numbers. Then the equation $2|z+3i|-|z-i|=0$ represents :
Topic: JEE Main 2017 (8 April Morning Shift)
Consider an ellipse, whose center is at the origin and its major axis is along the $x$-axis. If its eccentricity is $\d…
Topic: JEE Main 2017 (8 April Morning Shift)
The value of $\tan^{-1}\left[\dfrac{\sqrt{1+x^{2}}+\sqrt{1-x^{2}}}{\sqrt{1+x^{2}}-\sqrt{1-x^{2}}}\right]$, $|x|
Topic: JEE Main 2017 (8 April Morning Shift)
An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is :
Topic: JEE Main 2017 (8 April Morning Shift)
If
$S = \left\{ {x \in \left[ {0,2\pi } \right]:\left| {\matrix{
0 & {\cos x} & { - \sin x} \cr
{\sin …
Topic: JEE Main 2017 (8 April Morning Shift)
Three persons P, Q and R independently try to hit a target. If the probabilities of their hitting the target are $\dfra…
Topic: JEE Main 2017 (8 April Morning Shift)
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appo…
Topic: JEE Main 2017 (8 April Morning Shift)
The area (in sq. units) of the parallelogram whose diagonals are along the vectors $8\hat{i}-6\hat{j}$ and $3\hat{i}+4\…
Topic: JEE Main 2017 (8 April Morning Shift)
If two parallel chords of a circle, having diameter 4 units, lie on the opposite sides of the center and subtend angles…
Topic: JEE Main 2017 (8 April Morning Shift)
The integral $\int_{{\pi \over {12}}}^{{\pi \over 4}} {\,\,{{8\cos 2x} \over {{{\left( {\tan x + \cot x} \right)}^3}}…
Topic: JEE Main 2017 (8 April Morning Shift)
