Math, asked by dsuryatej2485, 8 months ago

If A( m/3, 5 ) is the mid point of the line segment joining the points P(-6, 7 ) and Q ( -2, 3 ) , then the value of m is

Answers

Answered by abhi569
28

Answer:

- 12

Step-by-step explanation:

Using mid point formula,

mid point of (a,b) and (c,d) is (a+c/2 , b+d/2).

So, here,  mid point of PQ is,  

⇒ (-6-2/2  ,7+3/2 )

⇒ (-4, 5)

   In question it is given that the mid point is (m/3, 5).

⇒ (-4, 5) = (m/3 , 5)

  ⇒ - 4 = m/3

  ⇒ - 4*3 = m

  ⇒ - 12 = m

Answered by Qᴜɪɴɴ
26

Given:

  • A (m/3, 5) is midpoint of P(-6,7) and Q(-2,3)

━━━━━━━━━━━━━━━━

Need to find:

  • The value of m=?

━━━━━━━━━━━━━━━━

Solution:

For a point of be mid point of a line joining two points,

(x,y) = ( \dfrac{x1 + x2}{2} , \dfrac{y1 + y2}{2} )

 \implies \:  \dfrac{m}{3} ,\: 5  =  \dfrac{ - 6 - 2}{2} , \dfrac{ 7 + 3}{2}

Solving separately,

━━━━━━━━━━━━━━

 \dfrac{m}{3}  =  \dfrac{ - 6 - 2}{2}

 \implies \:  \dfrac{m}{3}  =  \dfrac{ - 8}{2}

 \implies \: m = 4 \times 3

\red{\bold{\huge{m=-12}}}

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