MCQ
If $\text{f(x)}=\cos(\log\text{x}),$ then value of $\text{f(x)}\text{f(4)}-\frac{1}{2}\Big\{\text{f}\Big(\frac{\text{x}}{4}\Big)+\text{f}(4\text{x})\Big\}$ is:
- A1
- B-1
- ✓0
- D$\pm1$
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$1.$ The ratio of the areas of the triangles $P Q S$ and $P Q R$ is
$(A)$ $1: \sqrt{2}$ $(B)$ $1: 2$ $(C)$ $1: 4$ $(D)$ $1: 8$
$2.$ The radius of the circumcircle of the triangle PRS is
$(A)$ $5$ $(B)$ $3 \sqrt{3}$ $(C)$ $3 \sqrt{2}$ $(D)$ $2 \sqrt{3}$
$3.$ The radius of the incircle of the triangle $P Q R$ is
$(A)$ $4$ $(B)$ $3$ $(C)$ $8 / 3$ $(D)$ $2$
Give the answer question $1,2$ and $3.$