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The vertex of the parabola y^(2) =(a-b)(...

The vertex of the parabola `y^(2) =(a-b)(x -a)` is

A

(b, a)

B

(a, b)

C

(a, 0)

D

(b, 0)

Text Solution

Verified by Experts

The correct Answer is:
C

Given equation of parabola is `y^(2) = (a-b) (x-a)`
`rArr Y^(2) =(a-b) X, " where " Y= y & X = x-a " " :."Vertex"=(0,0)`
`rArr X =0, Y=0 rArr x-a =0, y=0 rArr x=a, y =0`
Co-ordinates of vertex are (a,0)
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