Question

(b) The midpoint of theline segment joining the points E(8, 11) and B(11, 15) is

(i) (6, 10) (ii) 11 8

,

5 5

      (iii) 15 17,

4

      (iv) 19 ,13

2

   ​

Answer 1

Given :- The midpoint of theline segment joining the points E(8, 11) and B(11, 15) is ?

$\bf\red\bigstar\underline\textbf{\blue{Concept}\:\pink{used}}\red\bigstar$ :-

✰) The midpoint of the line segment joining the points P (x₁,y₁) and Q(x₂,y₂) is : ---

$\purple{\tt\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}}$

Solution :-

we have ,

• x₁ = 8
• y₁ = 11
• x₂ = 11
• y₂ = 15

Let us assume that, Mid - Points are (x,y) .

then,

→ x = (8 + 11)/2 = 19/2 = 9.5

→ y = (11 + 15)/2 = 26/2 = 13 .

Hence, Mid - Points of line segment are (9.5,13).

Learn more :-

prove that the mid point of the line joining points (-5,12) and (-1,12) is a point of trisection of the line joining the...

https://brainly.in/question/15118408

in what ratio is tge line joining the points (9, 2) and (-3, - 2 ) divided by the y axis? also find the coordinate of th...

https://brainly.in/question/15022879

find the equation of the straight line which passes through the point 4,3 and parallel to line 3x +4y=7

https://brainly.in/question/15527182

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The midpoint of the line segment joining the points E(8, 11) and B(11, 15) is

(i) (6, 10)

(ii) (11/5, 8/5)

(iii) (15/4 17/4)

(iv) (19/2 ,13)

CONCEPT TO BE IMPLEMENTED

$\sf{If \: two \: points \: \: ( x_1,y_1) \: and \: (x_2,y_2) \: are \: given }$

Then the midpoint of the line joining the points is

$= \displaystyle \sf{ \bigg( \: \frac{x_1 + x_2 \: }{2} , \frac{y_1 + y_2 \: }{2} \bigg)\: \: }$

EVALUATION

Here the two given points are E(8, 11) and B(11, 15)

So the midpoint of the line segment joining the points E(8, 11) and B(11, 15) is

$= \displaystyle \sf{ \bigg( \: \frac{8+ 11 \: }{2} , \frac{11 + 15\: }{2} \bigg)\: \: }$

$= \displaystyle \sf{ \bigg( \: \frac{ 19 \: }{2} , \frac{26\: }{2} \bigg)\: \: }$

$= \displaystyle \sf{ \bigg( \: \frac{ 19 \: }{2} , 13 \bigg)\: \: }$

FINAL ANSWER

The midpoint of the line segment joining the points E(8, 11) and B(11, 15) is

$\displaystyle \sf{ (iv) \: \: \: \: \: \: \bigg( \: \frac{ 19 \: }{2} , 13 \bigg)\: \: }$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

Locate the following points on the cartesian plane

(0,a),(a,0),(-a, 0),(0,-a)

https://brainly.in/question/26822338