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
Change Language
If $$y=f(x)$$ makes +$$ve$$ intercept of $$2$$ and $$0$$ unit on $$x$$ and $$y$$ axes and encloses an area of $$3/4$$ square unit with the axes then $$\int\limits_0^2 {xf'\left( x \right)dx} $$ is
A
$$3/2$$
B
$$1$$
C
$$5/4$$
D
$$-3/4$$
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