WB JEE 2017 | Quadratic Equations Question 33 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

Let $$\alpha$$ and $$\beta$$ be the roots of $${x^2} + x + 1 = 0$$. If n be a positive integer, then $$\alpha$$ⁿ + $$\beta$$ⁿ is

$$2\cos {{2n\pi } \over 3}$$

$$2\sin {{2n\pi } \over 3}$$

$$2\cos {{n\pi } \over 3}$$

$$2\sin {{n\pi } \over 3}$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

For real x, the greatest value of $${{{x^2} + 2x + 4} \over {2{x^2} + 4x + 9}}$$ is

$$-$$ 1

$${1 \over 2}$$

$${1 \over 4}$$

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

If p, q are the roots of the equation x² + px + q = 0, then

p = 1, q = $$-$$ 2

p = 0, q = 1

p = $$-$$ 2, q = 0

p = $$-$$ 2, q = 1

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The number of values of k, for which the equation x² $$-$$ 3x + k = 0 has two distinct roots lying in the interval (0, 1), are

three

two

infinitely many

no value of k satisfies the requirement

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