WB JEE 2023 | Quadratic Equations Question 16 | Mathematics

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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

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

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

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

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

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)x + b = 0$$, $$a \ne 0$$ are

rational

irrational

non-real

equal

WB JEE 2022

MCQ (Single Correct Answer)

-0.5

The value of a for which the sum of the squares of the roots of the equation $${x^2} - (a - 2)x - a - 1 = 0$$ assumes the least value is

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Let $$\alpha$$, $$\beta$$ be the roots of the equation x² $$-$$ 6x $$-$$ 2 = 0 with $$\alpha$$ > $$\beta$$. If a_n = $$\alpha$$ⁿ $$-$$ $$\beta$$ⁿ for n $$\ge$$ 1, then the value of $${{{a_{10}} - 2{a_8}} \over {2{a_9}}}$$ is

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