IIT-JEE 1982 | Quadratic Equation and Inequalities Question 81 | Mathematics

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

If p, q, r are any real numbers, then

max (p, q) < max (p, q, r )

min (p, q) = $${1 \over 2}\left( {p + q - \left| {p - q} \right|} \right)$$

max (p, q) < min (p, q, r)

none of these

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

The largest interval for which $${x^{12}} - {x^9} + {x^4} - x + 1 > 0$$ is

$$ - 4 < x \le 0$$

$$\,0 < x < 1$$

$$ - 100 < x < 100$$

$$ - \infty < x < \infty $$

IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - b) = 0 are always

positive

real

negative

none of these.

IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$ for x > 1, is

- 0.01

none of these.

JEE Advanced Subjects