Question

The line 2x − 3y = 12, meets x-axis at point A and y-axis at point B, then ______.

विकल्प

• A = (6, 0) and В = (0, –4)

• A = (0, 4) and B = (6, 0)

• A = (0, –4) and B (–6, 0)

• A = (–6, 0) and B = (4, 0)

Answer 1

The line 2x − 3y = 12, meets x-axis at point A and y-axis at point B, then A = (6, 0) and В = (0, –4).

Explanation:

We know that,

y-coordinate at x-axis = 0.

Let point A be (a, 0).

Since,

Line 2x − 3y = 12 meets x-axis at point A.

∴ Point A(a, 0) satisfies the equation 2x − 3y = 12.

⇒ 2a − 3(0) = 12

⇒ 2a − 0 = 12

⇒ 2a = 12

⇒ `12/2 = 6`

∴ A = (a, 0) = (6, 0).

We know that,

x-coordinate at y-axis = 0.

Let point B be (0, b).

Since,

Line 2x − 3y = 12 meets y-axis at point B.

∴ Point B(0, b) satisfies the equation 2x − 3y = 12.

⇒ 2(0) − 3b = 12

⇒ 0 − 3b = 12

⇒ −3b = 12

⇒ b = `12/(−3)`​ = −4

∴ B = (0, b) = (0, −4)