1
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+3
-0.75
The area bounded by the parabola $$y = {\left( {x + 1} \right)^2}$$ and
$$y = {\left( {x - 1} \right)^2}$$ and the line $$y=1/4$$ is
A
$$4$$ sq. units
B
$$1/6$$ sq. units
C
$$4/3$$ sq. units
D
$$1/3$$ sq. units
2
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$y=y(x)$$ and it follows the relation $$x\cos \,y + y\,cos\,x = \pi $$ then $$y''(0)=$$
A
$$1$$
B
$$-1$$
C
$${\pi - 1}$$
D
$$ - \pi $$
3
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
For the primitive integral equation $$ydx + {y^2}dy = x\,dy;$$
$$x \in R,\,\,y > 0,y = y\left( x \right),\,y\left( 1 \right) = 1,$$ then $$y(-3)$$ is
A
$$3$$
B
$$2$$
C
$$1$$
D
$$5$$
4
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
The solution of primitive integral equation $$\left( {{x^2} + {y^2}} \right)dy = xy$$
$$dx$$ is $$y=y(x),$$ If $$y(1)=1$$ and $$\left( {{x_0}} \right) = e$$, then $${{x_0}}$$ is equal to
A
$$\sqrt {2\left( {{e^2} - 1} \right)} $$
B
$$\sqrt {2\left( {{e^2} + 1} \right)} $$
C
$$\sqrt 3 \,e$$
D
$$\sqrt {{{2\left( {{e^2} + 1} \right)} \over 2}} $$
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