Let PS be the median of the triangle with ver | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The median $PS$ connects vertex $P$ to the midpoint $S$ of side $QR$.Midpoint $S = \left( \frac{6+7}{2}, \frac{-1+3}{2} \right) = \left( \frac{13}

Vedclass · Accepted Answer

$2x + 9y + 7 = 0$

Vedclass · Answer

(D) The median $PS$ connects vertex $P$ to the midpoint $S$ of side $QR$.Midpoint $S = \left( \frac{6+7}{2}, \frac{-1+3}{2} \right) = \left( \frac{13}{2}, 1 \right)$.The slope of $PS$ is $m = \frac{1 - 2}{\frac{13}{2} - 2} = \frac{-1}{\frac{9}{2}} = -\frac{2}{9}$.The line passing through $(1, -1)$ parallel to $PS$ has the same slope $m = -\frac{2}{9}$.Using the point-slope form: $y - (-1) = -\frac{2}{9}(x - 1)$.$9(y + 1) = -2(x - 1) \implies 9y + 9 = -2x + 2$.$2x + 9y + 7 = 0$.

Let $PS$ be the median of the triangle with vertices $P(2, 2)$,$Q(6, -1)$,and $R(7, 3)$. The equation of the line passing through $(1, -1)$ and parallel to $PS$ is:

Similar Questions

If $\lim _{x \rightarrow 0}\left(\frac{\cos 4 x+a \cos 2 x+b}{x^4}\right)$ is finite,then the values of $a, b$ are respectively :

Which logic gate is represented by the following combination of logic gates?

Two parallel metal plates having charges $+Q$ and $-Q$ face each other at a certain distance between them. If the plates are now dipped in a kerosene oil tank,the electric field between the plates will

The position vector of a point lying on the line joining the points whose position vectors are $\hat{i}+\hat{j}-\hat{k}$ and $\hat{i}-\hat{j}+\hat{k}$ is:

When a system is taken from state $i$ to state $f$ along the path $iaf$,$Q = 50 \, cal$ and $W = 20 \, cal$. Along the path $ibf$,if $Q = 36 \, cal$,find the work $W$ for the path $ibf$ in $cal$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module