IIT-JEE 2000 Screening | Quadratic Equation and Inequalities Question 36 | Mathematics

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

If a, b, c, d are positive real numbers such that a + b + c + d = 2, then M = (a + b) (c + d) satisfies the relation

$$0 \le M \le 1$$

$$1 \le M \le 2$$

$$2 \le M \le 3$$

$$3 \le M \le 4$$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

If b > a, then the equation (x - a) (x - b) - 1 = 0 has

both roots in (a, b)

both roots in (- $$\infty $$, a)

both roots in (b, + $$\infty $$)

one root in (- $$\infty $$, a) and the other in (b, + $$\infty $$)

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

For the equation $$3{x^2} + px + 3 = 0$$. p > 0, if one of the root is square of the other, then p is equal to

1/3

2/3

IIT-JEE 1999

MCQ (Single Correct Answer)

-0.5

If the roots of the equation $${x^2} - 2ax + {a^2} + a - 3 = 0$$ are real and less than 3, then

$$a < 2$$

$$2 \le a \le 3$$

$$3 < a \le 4$$

$$a > 4$$

JEE Advanced Subjects