New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Quadratic Equation and Inequalities question

2022 · 24 Jun · Shift 2 · Q23

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

PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2022 · 24 Jun · Shift 2 · Q23

Quadratic Equation and Inequalities question

2022 · 24 Jun · Shift 2 · Q23

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

The sum of all the real roots of the equation

({e^{2x}} - 4)(6{e^{2x}} - 5{e^x} + 1) = 0

is

A
${\log _e}3$
B
$- {\log _e}3$
C
${\log _e}6$
D
$- {\log _e}6$

More from Quadratic Equation and Inequalities

The number of distinct real roots of the equation x7 $-$ 7x $-$ 2 = 0 is2022 · MCQ
If $α, β, γ, δ$ are the roots of the equation $x^{4} + x^{3} + x^{2} + x + 1 = 0$ , then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021}$ is equal to :2022 · MCQ
Let $A = {x \in R : ∣ x + 1∣ < 2}$ and $B = {x \in R : ∣ x - 1∣ \geq 2}$ . Then which one of the following statements is NOT true?2022 · MCQ
Let a, b $\in$ R be such that the equation $a x^{2} - 2 b x + 15 = 0$ has a repeated root $α$ . If $α$ and $β$ are the roots of the equation $x^{2} - 2 b x + 21 = 0$ , then $α^{2} + β^{2}$ is equal to :2022 · MCQ
If for some $p, q, r \in R$ , not all have same sign, one of the roots of the equation $(p^{2} + q^{2}) x^{2} - 2 q (p + r) x + q^{2} + r^{2} = 0$ …2022 · Numerical
The number of distinct real roots of the equation $x^{5} (x^{3} - x^{2} - x + 1) + x (3 x^{3} - 4 x^{2} - 2 x + 4) - 1 = 0$ is .2022 · Numerical
The minimum value of the sum of the squares of the roots of $x^{2} + (3 - a) x + 1 = 2 a$ is:2022 · MCQ
The sum of the cubes of all the roots of the equation $x^{4} - 3 x^{3} - 2 x^{2} + 3 x + 1 = 0$ is .2022 · Numerical