A) \[\frac{105}{4}\]
B) \[105\]
C) \[210\]
D) \[\frac{105}{2}\]
Correct Answer: D
Solution :
\[p=\frac{n}{\sqrt{2}}\] |
to make the intercept, |
\[\frac{n}{\sqrt{2}}<4\]\[\Rightarrow \] \[n<4\sqrt{2}\] |
Length of intercepts\[=\sqrt{{{r}^{2}}-{{p}^{2}}}\]\[=\sqrt{16-{{n}^{2}}/2}\] |
Square of intercept\[=16-\frac{{{n}^{2}}}{2},n\in N\] |
Sum of squares of intercept |
\[\left( 16-\frac{1}{2} \right)+\left( 16-\frac{4}{2} \right)+\left( 16-\frac{9}{2} \right)+\left( 16-\frac{16}{2} \right)+\left( 16-\frac{25}{2} \right)\]\[=80-\frac{1}{2}(55)\]\[=\frac{105}{2}.\] |
You need to login to perform this action.
You will be redirected in
3 sec