JEE Advance - Mathematics (1995 - No. 10)
Let $$a,\,b,\,c$$ be real. If $$a{x^2} + bx + c = 0$$ has two real roots $$\alpha $$ and $$\beta ,$$ where $$\alpha < - 1$$ and $$\beta > 1,$$ then show that $$1 + {c \over a} + \left| {{b \over a}} \right| < 0.$$
$$a > 0, b > 0, c > 0$$
$$a < 0, b < 0, c < 0$$
$$a > 0, c < 0$$
$$a < 0, c > 0$$
$$1 + {c \over a} + \left| {{b \over a}} \right| < 0$$
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