Problem

Entries of Column I are to be matched with one or more entries of Column II.

	Column I		Column II
(A)	If $a + b + 2c = 0$ but $c \ne 0$ , then $ax^2 + bx + c = 0$ has	(p)	atleast one root in $(-2, 0)$
(B)	If $a, b, c \in \mathbb{R}$ such that $2a - 3b + 6c = 0$ , then equation has	(q)	atleast one root in $(-1, 0)$
(C)	Let $a, b, c$ be non-zero real numbers such that	(r)	atleast one root in $(-1, 1)$
	$\int_0^1 (1 + \cos^8 x)(ax^2 + bx + c)dx = \int_0^2 (1 + \cos^8 x)(ax^2 + bx + c)dx$ , the equation $ax^2 + bx + c = 0$ has	(s)	atleast one root in $(0, 1)$
		(t)	atleast one root in $(0, 2)$