1
WB JEE 2009
+1
-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

A
positive
B
negative
C
real
D
imaginary
2
WB JEE 2010
+1
-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

A
$${x^2} - x + 1 = 0$$
B
$${x^2} - x - 1 = 0$$
C
$${x^2} + x - 1 = 0$$
D
$${x^2} + x + 1 = 0$$
3
WB JEE 2010
+1
-0.25

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

A
imaginary
B
real, rational and equal
C
real, irrational and unequal
D
real, rational and unequal
4
WB JEE 2010
+1
-0.25

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

A
only positive solutions
B
only negative solutions
C
no solution
D
both positive and negative solution
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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