Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

If the midpoint of PQ is (7,10) and Q is (5,8) then the coordinates of P are
(6,9)
(9,12)
(9,6)
(12,9)

A

(9,12)

B

(9,6)

C

(6,9)

D

(12,9)

Open in App

Solution

Verified by Toppr

The correct option is A (9,12)
Let P be (x, y)
$(\frac{x + 5}{2}, \frac{y + 8}{2}) = (7, 10)$
or $\frac{x + 5}{2} = 7$ and $\frac{y + 8}{2} = 10$
or $x = 9, y = 12$

Was this answer helpful?

0

Similar Questions

Q1

If the midpoint of PQ is (7,10) and Q is (5,8) then the coordinates of P are

View Solution

Q2

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the midpoint of PQ then find the coordinates of P and Q. [CBSE 2017]

View Solution

Q3

The diagram is on a Cartesian plane.
If the midpoints of

P Q

and

R S

are the same, the coordinates of

S

are:

View Solution

Q4

The diagram shows a rectangle on a Cartesian plane.

M

is the midpoint of

P Q

.
The coordinates of

R

are:

View Solution

Q5

In the given figure M is the midpoint of PQ. Find the coordinates of R.

View Solution