Question

Let the tangent drawn to the parabola $y ^2=24 x$ at the point $(\alpha, \beta)$ is perpendicular to the line $2 x+2 y=5$. Then the normal to the hyperbola $\frac{x^2}{\alpha^2}-\frac{y^2}{\beta^2}=1$ at the point $(\alpha+4, \beta+4)$ does NOT pass through the point :

• A. $(25,10)$
• B. $(20,12)$
• C. $(30,8)$
• D. $(15,13)$

Answer 1

Answer: (D)

$(15,13)$

Answer 2

The correct option is (D): $(15,13)$