Math, asked by sriram9607, 4 months ago

Can you please tell me answer​

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Answered by Anonymous
10

 \bf \LARGE \color{pink}Hola!

QuestioN :

 \boxed{ \begin{array}{c} \sf \circ    \:  \: The \:  \:  number  \:  \: of \:  \:  lines  \:  \: through \:  \:  'n' \:  \:  collinear \:  \:  points \\  {\begin{array}{cc}   \sf \: a) \:  \frac{n(n + 1)}{2}& \sf \:b)  \:  \frac{n(n - 1)}{2} &  \sf \:c) \:  \frac{n(n - 1)}{3}  &  \sf \: d) \:  \frac{n(n - 2)}{2} \end{array}}\end{array}}

AnsweR :

 \rightsquigarrow \underline{ \boxed{ \sf{b )\:  \frac{n(n - 1)}{2} }}}

ExplanatioN :

  \circ \sf \:  \: We  \:  \: can  \:  \: draw \:  \:  (n-1)  \:  \: lines  \:  \: by \:  \:  n  \:  \: pts

 \:    \sf \:  \:  \:  \: hence, \:  \:  total \:   \: number \: \:  lines \:  \:  by \:  \:  each  \:  \: pts \: n(n - 1)

Now,

 \sf \circ \:  \: subtracting  \:  \: double  \:  \: counted  \:  \: lines \: \: \frac{n(n - 1)}{2}

 \sf \dashrightarrow \:  {n(n - 1)} -  \frac{n(n - 1)}{2}

 \sf \dashrightarrow \:   \underline{ \boxed{ \sf{\frac{n(n - 1)}{2} }}}

_______________________

HOPE THIS IS HELPFUL...

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