Question

if the point (p,q) is the middle point of the line segment joining the points P(7,-4) and q (-1,2) them find p
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Answer 1

Answer:

Here is your answer.

I hope that it helps you.....

Answer 2

Answer

The value of p is 3

and of q is 1

Required mid point is (3,1)

Given

• The points P(7, -4) and Q(-1,2)
• A(p,q) is the middle point of line PQ

To Find

• The value of p

Formula used

• If (x,y) divides the line joining the points (x₁ ,y₁) and (x₂ , y₂) in ratio m:n then co-ordinates x and y are
• $\bold{\sf{x = \frac{ mx_{2} + nx _{1}}{m + n} }}$
• $\bold{ \sf{y = \frac{my _{2} + ny_{1}}{m + n} }}$

• Again if (x, y) is the middle point of the line joining the point (x₁ , y₁) and (x₂ , y₂) then
• $\bold{ \sf{x = \frac{ x_{1} + x_{2}}{2} }}$
• $\bold{ \sf{y = \frac{y_{1} + y _{2}}{2} }}$

Solution

Now Applying the formula for middle point in the given data we have ,

$\sf{p = \frac{7 + ( - 1)}{2} } \\ \implies \sf{p = \frac{6}{2} } \\ \boxed{\implies \sf{p = 3}}$

And for the Y- Co-ordinate

$\sf{q = \frac{ (- 4) + 2}{2}} \\ \implies \sf{q = \frac{2}{2} } \\ \ \boxed{\implies \sf{q = 1} }$

So the coordinates of mid point of line PQ is (3,1)