1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The solution for $$x$$ of the equation $$\int\limits_{\sqrt 2 }^x {{{dt} \over {t\sqrt {{t^2} - 1} }} = {\pi \over 2}} $$ is
A
$${{\sqrt 3 } \over 2}$$
B
$$2\sqrt 2 $$
C
$$2$$
D
None
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The area enclosed between the curves $${y^2} = x$$ and $$y = \left| x \right|$$ is :
A
$$1/6$$
B
$$1/3$$
C
$$2/3$$
D
$$1$$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Let $$I = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx} $$ and $$J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .$$ Then which one of the following is true?
A
$$1 > {2 \over 3}$$ and $$J > 2$$
B
$$1 < {2 \over 3}$$ and $$J < 2$$
C
$$1 < {2 \over 3}$$ and $$J > 2$$
D
$$1 > {2 \over 3}$$ and $$J < 2$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The differential equation of all circles passing through the origin and having their centres on the $$x$$-axis is :
A
$${y^2} = {x^2} + 2xy{{dy} \over {dx}}$$
B
$${y^2} = {x^2} - 2xy{{dy} \over {dx}}$$
C
$${x^2} = {y^2} + xy{{dy} \over {dx}}$$
D
$${x^2} = {y^2} + 3xy{{dy} \over {dx}}$$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12