1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The equation $${x^2} - 3|x| + 2 = 0$$ has

A
No real root
B
One real root
C
Two real roots
D
Four real roots
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If $$\alpha$$, $$\beta$$ be the roots of $${x^2} - a(x - 1) + b = 0$$, then the value of $${1 \over {{\alpha ^2} - a\alpha }} + {1 \over {{\beta ^2} - a\beta }} + {2 \over {a + b}}$$ is

A
$${4 \over {a + b}}$$
B
$${1 \over {a + b}}$$
C
0
D
$$-$$1
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The sum of all real roots of the equation $$|x - 2{|^2} + |x - 2| - 2 = 0$$ is

A
7
B
4
C
1
D
5
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The quadratic equation whose roots are three times the roots of $$3a{x^2} + 3bx + c = 0$$ is

A
ax2 + 3bx + 3c = 0
B
ax2 + 3bx + c = 0
C
9ax2 + 9bx + c = 0
D
ax2 + bx + 3c = 0
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