Math, asked by shinjho86, 10 months ago

If PS is the median of the triangle with vertices P(2,2) q(6,-1) R(7,3) then equation of the line passing through and parallel to P S is ​

Answers

Answered by Brainlyconquerer
23

Answer:

2x + 9y + 7 = 0 is the required line .

Step-by-step explanation:

• Median of any triangle divides the opposite line into 2 equal parts

so , S will be mid point .

Apply the mid point formula

• ( a+b)/2

Co-ordinates of S =

( \frac{7 + 6}{2}  , \frac{3 - 1}{2} )  \\  \\  = ( \frac{13}{2} ,  \frac{1}{1} )

Slope of the line PS is

y - y1 = m (X - X1)

Putting in the values ,

S =  \frac{ - 2}{9}

Required equation passes through (1,-1) and parallel to PS is

y - y1 = m (X - X1)

\implies y + 1 =  \frac{ - 2}{9}  \times (x - 1) \\  \\ \implies  9y + 9 =  - 2x + 2 \\  \\ \implies  2x + 9y + 7 = 0

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Answered by vingamurihansika
0

Answer:

2x+9y+7=0

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