1
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
If f(x + y) = f(x).f(y) $$\forall $$ x, y and f(5) = 2, f'(0) = 3, then
f'(5) is
A
0
B
1
C
6
D
2
2
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
A triangle with vertices $$\left( {4,0} \right),\left( { - 1, - 1} \right),\left( {3,5} \right)$$ is :
A
isosceles and right angled
B
isosceles but not right angled
C
right angled but not isosceles
D
neither right angled nor isosceles
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
Locus of mid point of the portion between the axes of

$$x$$ $$cos$$ $$\alpha + y\,\sin \alpha = p$$ where $$p$$ is constant is :
A
$${x^2} + {y^2} = {4 \over {{p^2}}}$$
B
$${x^2} + {y^2} = 4{p^2}$$
C
$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {2 \over {{p^2}}}$$
D
$${1 \over {{x^2}}} + {1 \over {{y^2}}} = {4 \over {{p^2}}}$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The pair of lines represented by $$$3a{x^2} + 5xy + \left( {{a^2} - 2} \right){y^2} = 0$$$

are perpendicular to each other for :
A
two values of $$a$$
B
$$\forall \,a$$
C
for one value of $$a$$
D
for no values of $$a$$
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