Question

The length of the intercept on y-axis cut off by the parabola, y2 – 5y = 3x – 6 is
(A) 1
(B) 2
(C) 3
(D) 5

Answer 1

Answer:

y² - 5y = 3x - 6

For point of intersection with Y - axis i.e. X = 0

y² - 5y = 3 × 0 - 6

y² - 5y + 6 = 0

(y - 2) ( y - 3) = 0

y = 2,3

A ( 0, y1 ) B ( 0, y2 )

AB = | y1 - y2 | = | 3 - 2 | = 1 .