AP EAPCET 2021 - 19th August Evening Shift | Application of Derivatives Question 23 | Mathematics

Let $$x$$ and $$y$$ be the sides of two squares such that, $$y=x-x^2$$. The rate of change of area of the second square with respect to area of the first square is

$$1-3 x+2 x^2$$

$$1+3 x-2 x^2$$

$$2 x$$

$$x+2 x^3-3 x^2$$

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-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

$$\left(\frac{\pi}{6}, \frac{\pi}{3}\right)$$

$$\left(0, \frac{\pi}{4}\right)$$

$$\left(0, \frac{\pi}{3}\right)$$

$$\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$$

AP EAPCET 2021 - 19th August Morning Shift

MCQ (Single Correct Answer)

-0

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

$$y=\frac{1}{4}$$

$$y=\frac{1}{2}$$

$$y=1$$

$$y=4$$

AP EAPCET 2021 - 19th August Morning Shift

MCQ (Single Correct Answer)

-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

0.05%

0.0025%

0.25%

0.1%

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