1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The locus of a point $$z$$ satisfying $$|z|^2=\operatorname{Re}(z)$$ is a circle with centre

A
$$\left(0, \frac{1}{2}\right)$$
B
$$\left(-\frac{1}{2}, 0\right)$$
C
$$\left(\frac{1}{2}, 0\right)$$
D
$$\left(0,-\frac{1}{2}\right)$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\sin ^4 \theta \cos ^2 \theta=\sum_\limits{n=0}^{\infty} a_{2 n} \cos 2 n \theta$$, then the least $$n$$ for which $$a_{2 n}=0$$ is

A
1
B
2
C
3
D
4
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$S=\left\{m \in R: x^2-2(1+3 m) x+7(3+2 m)=0\right.$$ has distinct roots}, then the number of elements in $$S$$ is

A
2
B
3
C
4
D
infinite
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$4^x-3^{x-\frac{1}{2}}=3^{x+\frac{1}{2}}-2^{2 x-1} \Rightarrow x=$$

A
$$\frac{5}{2}$$
B
$$\frac{1}{2}$$
C
$$\frac{3}{2}$$
D
$$\frac{7}{2}$$
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