Question

Which of the following point lie on the locus of 3x² + 3y² – 8x – 12y + 17 = 0? 

(a) (0, 0) 

(b) (-2, 3) 

(c) (1, 2) 

(d) (0, -1)

Answer 1

(c) (1, 2)

The point that satisfies the given equations (0, 0) ⇒ 17 ≠ 0 

(-2, 3) ⇒ 3 (4) + 3 (9) + 16 – 36 + 17 ≠ 0 

(1, 2) ⇒ 3 + 3 (4) – 8 (1) – 12 (2) + 17 

32 – 32 = 0, 0 = 0