Question

If one of the lines given by 6x² − xy + 4cy² = 0 is 3x + 4y = 0, then c equals ______.

Options

• −3

• 1

• 3

• 1

Answer 1

If one of the lines given by 6x² − xy + 4cy² = 0 is 3x + 4y = 0, then c equals −3.

Explanation:

3x + 4y = 0 is one of the line of the pair equations of lines

6x² − xy + 4cy² = 0, Put `y = -3/4 x`,

we get `6x^2 + 3/4x^2 + 4c(-3/4 x)^2 = 0`

= `6 + 3/4 + (9c)/4 = 0`

c = −3