1
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+3
-0.75
If $$f\left( x \right) = \int\limits_{{x^2}}^{{x^2} + 1} {{e^{ - {t^2}}}} dt,$$ then $$f(x)$$ increases in
A
$$(-2, 2)$$
B
no value of $$x$$
C
$$\left( {0,\infty } \right)$$
D
$$\left( { - \infty ,0} \right)$$
2
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+3
-0.75
The area bounded by the curves $$y = \left| x \right| - 1$$ and $$y = - \left| x \right| + 1$$ is
A
$$1$$
B
$$2$$
C
$$2\sqrt 2$$
D
$$4$$
3
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+3
-0.75
The integral $$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\left( {{{1 + x} \over {1 - x}}} \right)} \right)dx}$$ equal to
A
$$- {1 \over 2}$$
B
$$0$$
C
$$1$$
D
$$2\ell n\left( {{1 \over 2}} \right)$$
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+3
-0.75
Let $$f\left( x \right) = \int\limits_1^x {\sqrt {2 - {t^2}} \,dt.}$$ Then the real roots of the equation
$${x^2} - f'\left( x \right) = 0$$ are
A
$$\pm 1$$
B
$$\pm {1 \over {\sqrt 2 }}$$
C
$$\pm {1 \over 2}$$
D
$$0$$ and $$1$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12