WB JEE 2009 | Quadratic Equations Question 6 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If a, b, c are real, then both the roots of the equation $$(x - b)(x - c) + (x - c)(x - a) + (x - a)(x - b) = 0$$ are always

positive

negative

real

imaginary

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 Subjects