Let the domain of f(x) = log₃ log₅ log₇ (9x - x² - 13) be (m, n).… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 23 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Let the domain of $f(x) = \log_3 \log_5 \log_7 (9x - x^2 - 13)$ be $(m, n)$ . Let the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ have eccentricity $\frac{n}{3}$ and latus rectum $\frac{8m}{3}$ . Then $b^2 - a^2$ is equal to :

A
$9$
B
$11$
C
$5$
D
$7$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions