1
AIEEE 2003
+4
-1
If the sum of the roots of the quadratic equation $$a{x^2} + bx + c = 0$$ is equal to the sum of the squares of their reciprocals, then $${a \over c},\,{b \over a}$$ and $${c \over b}$$ are in
A
Arithmetic - Geometric Progression
B
Arithmetic Progression
C
Geometric Progression
D
Harmonic Progression
2
AIEEE 2003
+4
-1
The value of '$$a$$' for which one root of the quadratic equation $$\left( {{a^2} - 5a + 3} \right){x^2} + \left( {3a - 1} \right)x + 2 = 0$$\$
is twice as large as the other is
A
$$- {1 \over 3}$$
B
$${2 \over 3}$$
C
$$- {2 \over 3}$$
D
$${1 \over 3}$$
3
AIEEE 2003
+4
-1
The number of real solutions of the equation $${x^2} - 3\left| x \right| + 2 = 0$$ is
A
3
B
2
C
4
D
1
4
AIEEE 2002
+4
-1
If $$\alpha \ne \beta$$ but $${\alpha ^2} = 5\alpha - 3$$ and $${\beta ^2} = 5\beta - 3$$ then the equation having $$\alpha /\beta$$ and $$\beta /\alpha \,\,$$ as its roots is
A
$$3{x^2} - 19x + 3 = 0$$
B
$$3{x^2} + 19x - 3 = 0$$
C
$$3{x^2} - 19x - 3 = 0$$
D
$${x^2} - 5x + 3 = 0$$
EXAM MAP
Medical
NEET