Sets, Relations & Functions
Functions
star_batch_jee_advanced_2025
Grade 11
Question:
The graph of the function $f(x) = \frac{9x+7}{3x+12}$ is symmetric to the point:
(-4, 3)
(-3, 4)
(3, 4)
(-3, -4)
Step-by-Step Solution
Key Concept: Converting to standard form reveals the geometric nature and key features of a conic section.
The given graph can be rewritten as $(y-3)(x+4) = -\frac{29}{3}$, representing a rectangular hyperbola with center at $(-4, 3)$.
Correct Answer: 1