WB JEE 2011 | Quadratic Equations Question 12 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the equation ax² + bx + c = 0

has both the roots complex

has its roots lying within $$-$$1 < x < 0

has one of the roots equal to $${1 \over 2}$$

has its roots lying within 2 < x < 6

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If the ratio of the roots of the equation $$p{x^2} + qx + r = 0$$ is $$a:b$$, then $${{ab} \over {{{(a + b)}^2}}}$$ =

$${{{p^2}} \over {qr}}$$

$${{pr} \over {{q^2}}}$$

$${{{q^2}} \over {pr}}$$

$${{pq} \over {{r^2}}}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If $$\alpha$$ and $$\beta$$ are the roots of the equation x² + x + 1 = 0, then the equation whose roots ar $$\alpha$$¹⁹ and $$\beta$$⁷ is

x² $$-$$ x $$-$$ 1 = 0

x² $$-$$ x + 1 = 0

x² + x $$-$$ 1 = 0

x² + x + 1 = 0

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

If one root of $${x^2} + px - {q^2} = 0,p$$ and $$q$$ are real, be less than 2 and other be greater than 2, then

$$4 + 2p + {q^2} > 0$$

$$4 + 2p + {q^2} < 0$$

$$4 + 2p - {q^2} > 0$$

$$4 + 2p - {q^2} < 0$$

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