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

If $$f(x)=\frac{\cot x}{1+\cot x}$$ and $$\alpha+\beta=\frac{5 \pi}{4}$$, then the value of $$f(\alpha) f(\beta)$$ is equal to

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

In $$\triangle A B C \cdot \frac{a+b+c}{B C+A B}+\frac{a+b+c}{A C+A B}=3$$, then $$\tan \frac{C}{8}$$ is equal to

A
$$\sqrt{6}+\sqrt{3}+\sqrt{2}-2$$
B
$$\sqrt{6}-\sqrt{3}-\sqrt{2}+2$$
C
$$\sqrt{6}-\sqrt{3}+\sqrt{2}-2$$
D
$$\sqrt{6}+\sqrt{3}-\sqrt{2}+2$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Mean of the values $$\sin ^2 10 Y, \sin ^2 20 Y, \sin ^2 30 Y, \ldots \ldots \ldots ., \sin ^2 90 Y$$ is

A
$$\frac{5}{9}$$
B
$$\frac{2}{3}$$
C
$$\frac{7}{9}$$
D
$$\frac{1}{9}$$
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

When the coordinate axes are rotated through an angle 135$$\Upsilon$$, the coordinates of a point $$P$$ in the new system are known to be $$(4,-3)$$. Then find the coordinates of $$P$$ in the original system.

A
$$\left(\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
B
$$\left(\frac{-1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$$
C
$$\left(\frac{1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
D
$$\left(\frac{-1}{\sqrt{2}}, \frac{-7}{\sqrt{2}}\right)$$
AP EAPCET Subjects
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