Question

A point moves such that its distance from the point (4, 0) is half that of its distance from the line x = 16. The locus of the point is

• A. 3x² + 4y² =192
• B. 4x² + 3y² =192
• C. x² + y² =192
• D. None of these

Answer 1

Answer: (A)

3x² + 4y² =192

Answer 2

Ž PQ = $\frac { 1 } { 2 }$PM

Ž $\sqrt { ( \mathrm { h } - 4 ) ^ { 2 } + \mathrm { k } ^ { 2 } }$ = $\frac { 1 } { 2 }$

Replace (h, k) by (x, y) Ž 3x² + 4y² = 192