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1

IIT-JEE 1999

MCQ (Single Correct Answer)
If the roots of the equation $${x^2} - 2ax + {a^2} + a - 3 = 0$$ are real and less than 3, then
A
$$a < 2$$
B
$$2 \le a \le 3$$
C
$$3 < a \le 4$$
D
$$a > 4$$
2

IIT-JEE 1998

MCQ (Single Correct Answer)
Number of divisor of the form 4$$n$$$$+ 2\left( {n \ge 0} \right)$$ of the integer 240 is
A
4
B
8
C
10
D
3
3

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
4

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

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NEET

Class 12