1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\sin \left(\frac{\pi}{4} \cos \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$$, then $$\theta$$ is equal to

A
$$2 n \pi+\frac{\pi}{4}$$
B
$$2 n \pi \pm \frac{\pi}{4}$$
C
$$2 n \pi-\frac{\pi}{4}$$
D
$$n \pi+\frac{\pi}{4}$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$x=\sin \left(2 \tan ^{-1} 2\right), y=\cos \left(2 \tan ^{-1} 3\right)$$ and $$z=\sec \left(3 \tan ^{-1} 4\right)$$, then

A
$$x < y < z$$
B
$$y < z < x$$
C
$$z < x < y$$
D
$$z < y < x$$
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

In $$\triangle A B C$$, medians $$A D$$ and $$B E$$ are drawn. If $$A D=4, \angle D A B=\frac{\pi}{6}$$ and $$\angle A B E=\frac{\pi}{3}$$, then the area of $$\triangle A B C$$ is

A
$$\frac{8}{3}$$ sq units
B
$$\frac{16}{3} \mathrm{sq}$$ units
C
$$\frac{32}{3 \sqrt{2}}$$ sq units
D
$$\frac{64}{3}$$ sq units
4
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

In a $$\triangle A B C, 2 \Delta^2=\frac{a^2 b^2 c^2}{a^2+b^2+c^2}$$, then the triangle is

A
equilateral
B
isosceles
C
right angled
D
acute angled triangle
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