WB JEE 2010 | Quadratic Equations Question 9 | Mathematics

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

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 Subjects