Question

The line 5x − ky + 3 = 0 passes through the point (x = y = 3). The value of k is ______.

Options

• −3

• −6

• 6

• 3

Answer 1

The line 5x − ky + 3 = 0 passes through the point (x = y = 3). The value of k is 6.

Explanation:

Since, the line 5x − ky + 3 = 0 passes through point (x = y = 3).

∴ Point (3, 3) satisfies the equation 5x − ky + 3 = 0.

∴ 5(3) − 3k + 3 = 0

⇒ 15 − 3k + 3 = 0

⇒ −3k + 18 = 0

⇒ 3k = 18

⇒ k = `18/3`​ = 6.