1
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
$${x^2} - 5x + 3 = 0$$
2
AIEEE 2002
+4
-1
Product of real roots of equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$
A
is always positive
B
is always negative
C
does not exist
D
none of these
3
AIEEE 2002
+4
-1
Difference between the corresponding roots of $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ is same and $$a \ne b,$$ then
A
$$a + b + 4 = 0$$
B
$$a + b - 4 = 0$$
C
$$a - b - 4 = 0$$
D
$$a - b + 4 = 0$$
4
AIEEE 2002
+4
-1
If $$p$$ and $$q$$ are the roots of the equation $${x^2} + px + q = 0,$$ then
A
$$p = 1,\,\,q = - 2$$
B
$$p = 0,\,\,q = 1$$
C
$$p = - 2,\,\,q = 0$$
D
$$p = - 2,\,\,q = 1$$
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