1

IIT-JEE 1994

MCQ (Single Correct Answer)
Let $$p,q \in \left\{ {1,2,3,4} \right\}\,$$. The number of equations of the form $$p{x^2} + qx + 1 = 0$$ having real roots is
A
15
B
9
C
7
D
8
2

IIT-JEE 1994

MCQ (Single Correct Answer)
If p, q, r are + ve and are on A.P., the roots of quadratic equation $$p{x^2} + qx + r = 0$$ are all real for
A
$$\left| {{r \over p} - 7} \right| \ge 4\sqrt 3 $$
B
$$\left| {{p \over r} - 7} \right| \ge 4\sqrt 3 $$
C
all p and r
D
no p and r
3

IIT-JEE 1994

MCQ (Single Correct Answer)
The number of points of intersection of two curves y = 2 sin x and y $$ = 5{x^2} + 2x + 3$$ is
A
0
B
1
C
2
D
$$\infty $$
4

IIT-JEE 1992

MCQ (Single Correct Answer)
Let $$\alpha \,,\,\beta $$ be the roots of the equation (x - a) (x - b) = c, $$c \ne 0$$. Then the roots of the equation $$(x - \alpha \,)\,(x - \beta ) + c = 0$$ are
A
a, c
B
b, c
C
a, b
D
a + c, b + c

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