Question

If focus is (1, 2) directrix 7x – y – 30 = 0 and latus rectum is 10 units, then the conic is

• A. Parabola
• B. Ellipse
• C. Hyperbola
• D. Rectangular hyperbola

Answer 1

Answer: (D)

Rectangular hyperbola

Answer 2

For any conic $\frac { \ell } { \mathrm { SZ } } = \mathrm { e }$ where ‘ $\ell$ ’ is the semi-latusrectum.

∴ $\frac { 5 } { 25 / \sqrt { 50 } }$ = e.

∴ e = $\sqrt { 2 }$ ⇒ the conic is rectangular Hyperbola.