જો ત્રિકોણનું ક્ષેત્રફળ 5 એકમ હોય અને ત | vedclass

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Question

Let third vertex $=(\mathrm{h}, \mathrm{k})$

lies on $y=k+3$

$\mathrm{k}=\mathrm{h}+3$          .........$(1)$

$D =

Vedclass · Accepted Answer

$-\left( {\frac{3}{2},\frac{{3}}{2}} \right)$

Vedclass · Answer

Let third vertex $=(\mathrm{h}, \mathrm{k})$

lies on $y=k+3$

$\mathrm{k}=\mathrm{h}+3$          .........$(1)$

$D = \frac{1}{2}\left| {\begin{array}{*{20}{c}}
h&k&1\
2&1&1\
3&{ - 2}&1
\end{array}} ight| =  \pm 5$

$\mathrm{h}(1+2)-\mathrm{k}(2-3)+1(-4-3)=\pm 10$

$3 h+k-7=\pm 10$

$3 \mathrm{h}+\mathrm{k}=17$        .........$(2)$

$3 h+k=-3$      .........$(3)$

from $(1)$ and $(3)$

$\mathrm{h}=-\frac{3}{2}, \mathrm{k}=\frac{3}{2}$

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