New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Quadratic Equation and Inequalities question

2013 · Shift 2 · Q35

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

PYQ Library
JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2013 · Shift 2 · Q35

Quadratic Equation and Inequalities question

2013 · Shift 2 · Q35

JEE AdvancedMathematicsQuadratic Equation and InequalitiesMultiple correct+4 / −1

If

{3^x}\, = \,{4^{x - 1}},

then

x\, =

A
${{2{{\log }_3}\,2} \over {2{{\log }_3}\,2 - 1}}$
B
${2 \over {2 - {{\log }_2}\,3}}$
C
${1 \over {1 - {{\log }_4}\,3}}$
D
${{2{{\log }_2}\,3} \over {2{{\log }_2}\,3 - 1}}$

More from Quadratic Equation and Inequalities

The value of $6 + lo g_{3/2} (\frac{1}{3 2} 4 - \frac{1}{3 2} 4 - \frac{1}{3 2} 4 - \frac{1}{3 2} ...)$ is .2012 · Numerical
Let $α$ (a) and $β$ (a) be the roots of the equation $(3 1 + a - 1) x^{2} + (1 + a - 1) x + (6 1 + a - 1) = 0$ where $a > - 1$ . Then $a \to 0^{+} lim α (a)$ and $a \to 0^{+} lim β (a)$ …2012 · MCQ
The minimum value of the sum of real numbers $a^{- 5}, a^{- 4}, 3 a^{- 3}, 1, a^{8}$ and $a^{10}$ where $a > 0$ is2011 · Numerical
Let $α$ and $β$ be the roots of $x^{2} - 6 x - 2 = 0,$ with $α > β .$ If $a_{n} = α^{n} - β^{n}$ for $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$ then the value of $\frac{a _{10} - 2 a _{8}}{2 a _{9}}$ is2011 · MCQ
Let $(x_{0}, y_{0})$ be the solution of the following equations $(2 x)^{ℓ n 2} = (3 y)^{ℓ n 3} 3^{ℓ n x} = 2^{ℓ n y}$ Then $x_{0}$ …2011 · MCQ
The number of distinct real roots of $x^{4} - 4 x^{3} + 12 x^{2} + x - 1 = 0$ 2011 · Numerical
A value of $b$ for which the equations $x^{2} + b x - 1 = 0 x^{2} + x + b = 0$ have one root in common is2011 · MCQ
Let $p$ and $q$ be real numbers such that $p e 0, p^{3} e q$ and $p^{3} e - q .$ If $p^{3} e - q .$ and $β$ are nonzero complex numbers satisfying $α + β = - p$ and $α^{3} + β^{3} = q,$ then a quadratic…2010 · MCQ