1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If $$2a+3b+6c=0$$, then at least one root of the equation
$$a{x^2} + bx + c = 0$$ lies in the interval
A
$$(1, 3)$$
B
$$(1, 2)$$
C
$$(2, 3)$$
D
$$(0, 1)$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The normal to the curve x = a(1 + cos $$\theta $$), $$y = a\sin \theta $$ at $$'\theta '$$ always passes through the fixed point
A
$$(a, a)$$
B
$$(0, a)$$
C
$$(0, 0)$$
D
$$(a, 0)$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $$A = \left( {\matrix{ 1 & { - 1} & 1 \cr 2 & 1 & { - 3} \cr 1 & 1 & 1 \cr } } \right).$$ and $$10$$ $$B = \left( {\matrix{ 4 & 2 & 2 \cr { - 5} & 0 & \alpha \cr 1 & { - 2} & 3 \cr } } \right)$$. if $$B$$ is

the inverse of matrix $$A$$, then $$\alpha $$ is

A
$$5$$
B
$$-1$$
C
$$2$$
D
$$-2$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $$A = \left( {\matrix{ 0 & 0 & { - 1} \cr 0 & { - 1} & 0 \cr { - 1} & 0 & 0 \cr } } \right)$$. The only correct

statement about the matrix $$A$$ is

A
$${A^2} = 1$$
B
$$A=(-1)I,$$ where $$I$$ is a unit matrix
C
$${A^{ - 1}}$$ does not exist
D
$$A$$ is a zero matrix
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