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 remainder 6 when divided by x+1, then:
Previous 10 Questions — JEE Main 2017 (8 April Morning Shift)
Nearest first
1
2
3
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)
Ascending by ID
1
2
3
4
5
6
7
8
9
10
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)
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)
Let f(x) = 210.x + 1 and g(x)=310.x $-$ 1. If (fog) (x) = x, then x is equal to :
Topic: JEE Main 2017 (8 April Morning Shift)
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)
