Question

2x² + by² - 2cxy - 3x + y + d = 0 represents a circle through the origin, if ______ 

Options

• b = 0, c = 0, d = 2

• b = 1, c = 0, d = 0

• b = 2, c = 2, d = 0

• b = 2, c = 0, d = 0

Answer 1

2x² + by² - 2cxy - 3x + y + d = 0 represents a circle through the origin, if b = 2, c = 0, d = 0

Explanation:

The given equation represents a circle,

if coeff. of x² = coeff. of y² and coeff. of xy = 0

∴ b = 2 and c = 0

Also, it passes through origin.

∴ d = 0