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Suppose a parabola y=ax^(2)+bx +c has t...

Suppose a parabola `y=ax^(2)+bx +c` has two x intercepts, one positive and one negative, and its vertex is (2,-2). Then which of the following is true ? (A) ab > 0 (B) bc > 0 (C) ca > 0 (D) a + b + c > 0

A

`ab gt0`

B

`bcgt0`

C

`cagt0`

D

`a+b+cgt0`

Text Solution

Verified by Experts

The correct Answer is:
B
The graph according to the question is

Clearly it can be observed
`clt0`
`agt0`
`(-b)/(a)gt0rArr-bgt0rArrb lt0`
`f(1)lt0rArra+b+clt0`
`ablt0`
`aclt0`
`bcgt0`
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