Question

If A as origin , what will the midpoint of PR.

a. (5,11/2)

b. (-5,-11/2)

c. (11,5/2)

d. (-11,5/2)​

Answer 1

Answer:

Option a

Explanation:

Given :-

A is the origin ?

To find :-

What is the mid point of PR in the given figure ?

Solution :-

Given that

A is the origin

The coordinates of the point = A(0,0)

From the given figure , We observe that

The Coordinates of the point P = (4,6)

The Coordinates of the point Q = (3,2)

The Coordinates of the point R = (6,5)

We know that

Let (x1, y1)=P(4,6)=> x1=4 and y1=6

Let (x2, y2)=R(6,5)=>x2=6 and y2=5

The mid point of the line segment joining the points (x1, y1) and (x2, y2) is

( {x1+x2}/2 , {y1+y2}/2 )

On Substituting these values in the above formula then

=> Mid Point of PR = ( { 4+6}/2 , {6+5}/2 )

=> Mid Point of PR = (10/2 , 11/2)

=> Mid Point of PR = ( 5 , 11/2 )

Answer:-

The mid point of PR for the given problem is

( 5, 11/2)

Used formulae:-

• The mid point of the line segment joining the points (x1, y1) and (x2, y2) is( {x1+x2}/2 , {y1+y2}/2 )

• The coordinates of the point = (0,0)

• The mid point divides the given linesegment into two equal parts .