MCQ
The equation xy = 0 in three dimensional space is represented by:
- AA plane
- ✓Two plane are right angles
- CA pair of parallel planes
- DA pair of st. line
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(There are two questions based on $PARAGRAPH "II"$, the question given below is one of them)
($1$) The value of $2 \int^{\frac{\pi}{2}} f(x) g(x) d x-\int^{\frac{\pi}{2}} g(x) d x$ us
($2$) The value of $\frac{16}{\pi^3} \int_0^{\frac{\pi}{2}} f(x) g(x) d x$ is
Give the answer or quetion ($1$) and ($2$)
$R _{1}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \in Q \right\}$ and $R _{2}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \notin Q \right\}$
where $Q$ is the set of all rational numbers. Then