Delta PQR નાં શિરોબિંદુઓ P (2, 1), Q (-2, 3) | vedclass

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Question

It is given that the vertices of $\Delta PQR$ are $P (2,1), Q (-2,3)$ and $R (4,5)$.

Let $RL$ be the median through vertex $R$.

Accordingly, $L$

Vedclass · Accepted Answer

$3 x-4 y+8=0$

Vedclass · Answer

It is given that the vertices of $\Delta PQR$ are $P (2,1), Q (-2,3)$ and $R (4,5)$.

Let $RL$ be the median through vertex $R$.

Accordingly, $L$ be the mid-point of $PQ$.

By mid-point formula, the coordinates of point $L$ are given by $\left(\frac{2-2}{2}, \frac{1+3}{2}\right)=(0,2)$

It is known that the equation of the line passing through points

$\left(x_{1}, y_{1}\right)=(4,5)$ and $\left(x_{2}, y_{2}\right)=(0,2).$

Hence, $y-5=\frac{2-5}{0-4}(x-4)$

$\Rightarrow y-5=\frac{-3}{-4}(x-4)$

$\Rightarrow 4(y-5)=3(x-4)$

$\Rightarrow 4 y-20=3 x-12$

$\Rightarrow 3 x-4 y+8=0$

Thus, the required equation of the median through vertex $R$ is $3 x-4 y+8=0$.

$\Delta PQR$ નાં શિરોબિંદુઓ$ P (2, 1), Q (-2, 3)$ અને $R (4, 5)$ હોય, તો શિરોબિંદુ $R$ માંથી દોરેલ મધ્યગાનું સમીકરણ મેળવો.

Similar Questions

$A\ (3, 4)$ અને $B\ (5, -2)$ બે બિંદુઓ આપેલા છે. જો $PA = PB$ અને $\Delta PAB$ નું ક્ષેત્રફળ = $10$ હોય, તો $P$ શોધો.