WB JEE 2010 | Quadratic Equations Question 8 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

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

$${x^2} - x + 1 = 0$$

$${x^2} - x - 1 = 0$$

$${x^2} + x - 1 = 0$$

$${x^2} + x + 1 = 0$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The roots of the quadratic equation $${x^2} - 2\sqrt 3 x - 22 = 0$$ are

imaginary

real, rational and equal

real, irrational and unequal

real, rational and unequal

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The quadratic equation $${x^2} + 15|x| + 14 = 0$$ has

only positive solutions

only negative solutions

no solution

both positive and negative solution

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If sin $$\theta$$ and cos $$\theta$$ are the roots of equation ax² $$-$$ bx + c = 0, then a, b and c satisfy the relation

a² + b² + 2ac = 0

a² $$-$$ b² + 2ac = 0

a² + c² + 2ab = 0

a² $$-$$ b² $$-$$ 2ac = 0

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