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

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

If $$\alpha \,\text{and}\,\beta $$ $$(\alpha \, < \,\beta )$$ are the roots of the equation $${x^2} + bx + c = 0\,$$, where $$c < 0 < b$$, then

$$0 < \alpha \, < \,\beta \,$$

$$\alpha \, < \,0 < \beta \,<\left| \alpha \right|$$

$$\alpha \, < \beta \, < 0\,$$

$$\alpha \, < \,0 < \left| \alpha \right| < \beta $$

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 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

$$a < 2$$

$$2 \le a \le 3$$

$$3 < a \le 4$$

$$a > 4$$

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

Number of divisor of the form 4$$n$$$$ + 2\left( {n \ge 0} \right)$$ of the integer 240 is

JEE Advanced Subjects