KVPY SX SB Exam 20141 Question Paper

Question : 83 of 120

Marks: +1, -0

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?

Solution:

The graph according to the question is

Clearly it can be observed
c < 0
a > 0

-b/a>0⇒– b > 0 ⇒ b < 0

\f(1) < 0 ⇒ a + b + c < 0

ab < 0

ac < 0

bc > 0

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