Suppose P is a point with coordinates -8-3 with respect to a coordinate system X- O X - Y- O Y- Let X1- O1 X1- Y1- O1 Y1 be another system with X- O X X1- O1 X1 and suppose Q1 has coordinates 9-5 with respect to X- O X - Y- O Y- What are the coordinates of P in the system X1- O1 X1- Y1 O1 Y1 -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Representation of Point on the Plane

Suppose P is ...

Question

Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX || and suppose Q₁ has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?

Open in App

Solution

We have and.

Thus, the coordinates of P will be .

Suggest Corrections

Similar questions

A point P has coordinates (7, 10) in a coordinate system X′OX ↔ Y′OY. Suppose it has coordinates (10, 7) in another coordinate system with. Find the coordinates of Q₁ in the system X′OX ↔ Y′OY.

Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

Q. Suppose

P

is a point with coordinates

(- 8, 3)

with respect to a coordinate system

X^{'} O X \leftrightarrow Y^{'} O Y

. Let

X_{1}^{^{'}} O_{1} X_{1} \leftrightarrow Y_{1}^{^{'}} O_{1} Y_{1}

be another system with

X^{'} O X ∥ X_{1}^{^{'}} O_{1} X_{1}

and suppose

O_{1}

has coordinates

(9, 5)

with respect to

X^{'} O X \leftrightarrow Y^{'} O Y

. What are the coordinates of

P

in the system

X_{1}^{'} O_{1} X_{1} \leftrightarrow Y_{1}^{'} O_{1} Y_{1}

Choose the correct option:

If a point P has coordinates (3, 4) in a coordinate system, and if O has coordinates (4, 3) in another systemwith X′OX ||, then the coordinates of P in the new system is _____________.