New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Quadratic Equation and Inequalities question

2018 · Shift 0 · Q28

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2018 · Shift 0 · Q28

Quadratic Equation and Inequalities question

2018 · Shift 0 · Q28

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let S = {

x \in

R :

x \ge

0 and

2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \right) + 6 = 0

}. Then S

A
contains exactly four elements
B
is an empty set
C
contains exactly one element
D
contains exactly two elements

More from Quadratic Equation and Inequalities

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 :2017 · MCQ
The sum of all the real values of x satisfying the equation 2(x $-$ 1)(x2 + 5x $-$ 50) = 1 is :2017 · MCQ
If for a positive integer n, the quadratic equation $x (x + 1) + (x + 1) (x + 2) + .... + (x + \overline{n - 1}) (x + n)$ $= 10 n$ has two consecutive integral…2017 · MCQ
If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $∣ b ∣$ is equal to :2016 · MCQ
If x is a solution of the equation, $2 x + 1 - 2 x - 1 = 1,$ $(x \geq \frac{1}{2}),$ then $4 x^{2} - 1$ is equal to :2016 · MCQ
The sum of all real values of $x$ satisfying the equation $(x^{2} - 5 x + 5)^{x^{2} + 4 x - 60} = 1$ is :2016 · MCQ
Let $α$ and $β$ be the roots of equation $x^{2} - 6 x - 2 = 0$ . If $a_{n} = α^{n} - β^{n},$ for $n \geq 1,$ then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$ is equal to :2015 · MCQ
Let $α$ and $β$ be the roots of equation $p x^{2} + q x + r = 0, p e 0.$ If $p, q, r$ in A.P. and $\frac{1}{α} + \frac{1}{β} = 4,$ then the value of $∣ α - β ∣$ is :2014 · MCQ