Question

If the coordinate axes are shifted to the point (–1, 2) without rotation, then the curve whose equation is

2x² + y² – 4x + 4y = 0 will have the equation –

• A. 2x² + y² – 8x + 8y + 18 = 0
• B. 2x² + y² – 6 = 0
• C. 2x² + y² + 8y + 10 = 0
• D. x² + 2y² + 8x – 8y + 18 = 0

Answer 1

Answer: (A)

2x² + y² – 8x + 8y + 18 = 0

Answer 2

When the origin is shifted to (–1, 2), the equation of the curve becomes.

2(x – 1)² + (y + 2)² – 4(x –1) + 4(y + 2) = 0

i.e. 2x² + y² – 8x + 8y + 18 = 0.