MCQ
In the expansion of $\Big(\sqrt{2}+\sqrt[5]{3}\Big)^{120}$ the number of irrational terms is:
- A12
- B13
- ✓108
- D54
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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 $3.$