IPMAT Rohtak Algebra > Quadratic Equations PYQs

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Q1:

IPMAT Rohtak 2019

Algebra > Quadratic Equations

Medium

If the minimum value of $f(x) = x^2 + 2bx + 2c^2$ is greater than the maximum value of $g(x) = -x^2 - 2cx + b^2$, then for real value of x.

$|c| > \sqrt{2}|b|$

$\sqrt{2}|c| > b$

$0 < c < \sqrt{2}b$

no real value of a

Correct Answer

Option 1

Correct Answer

IPMAT Rohtak 2019

Algebra > Quadratic Equations

Medium

The set of all real numbers x for which $x^2 - |x + 2| + x > 0$, is

$(-\infty, -2) \cup (2, \infty)$

$(-\infty, -\sqrt{2}) \cup (\sqrt{2}, \infty)$

$(-\infty, -1) \cup (1, \infty)$

$(\sqrt{2}, \infty)$

Correct Answer

Option 2

Correct Answer