1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f^{\prime \prime}(x)$$ is a positive function for all $$x \in R, f^{\prime}(3)=0$$ and $$g(x)=f\left(\tan ^2(x)-2 \tan (x)+4\right)$$ for $$0 < x <\frac{\pi}{2}$$, then the interval in which $$g(x)$$ is increasing is

A
$$\left(\frac{\pi}{6}, \frac{\pi}{3}\right)$$
B
$$\left(0, \frac{\pi}{4}\right)$$
C
$$\left(0, \frac{\pi}{3}\right)$$
D
$$\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The line which is parallel to X-axis and crosses the curve $$y=\sqrt x$$ at an angle of 45$$\Upsilon$$ is

A
$$y=\frac{1}{4}$$
B
$$y=\frac{1}{2}$$
C
$$y=1$$
D
$$y=4$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the error committed in measuring the radius of a circle is 0.05%, then the corresponding error in calculating its area would be

A
0.05%
B
0.0025%
C
0.25%
D
0.1%
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The stationary points of the curve $$y=8 x^2-x^4-4$$ are

A
$$(0,-4),(2,12),(-2,12)$$
B
$$(0,4),(-2,12),(1,2)$$
C
$$(0,-4),(-1,2),(2,12)$$
D
$$(0,4),(-1,2),(1,2)$$
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