The y-intercept of the straight line passing through (1, 3) and perpen

1.	The y-intercept of the straight line passing through (1, 3) and perpendicular to 2x – 3y + 1 = 0 is …(a) 3/2(b) 9/2(c) 2/3(d) 2/9
Answer» (b) 9/2 Equation of a line perpendicular to 2x – 3y + 1 = 0 is 3x + 2y = k. It passes through (1, 3). 3 + 6 = k ⇒ k = 9, 3x + 2y = 9 To find y-intercept x = 0, 2y = 9, y = 9/2

The y-intercept of the straight line passing through (1, 3) and perpendicular to 2x – 3y + 1 = 0 is …(a) 3/2(b) 9/2(c) 2/3(d) 2/9

Answer»

(b) 9/2

Equation of a line perpendicular to 2x – 3y + 1 = 0 is 3x + 2y = k. It passes through (1, 3).

3 + 6 = k ⇒ k = 9, 3x + 2y = 9

To find y-intercept x = 0, 2y = 9, y = 9/2