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Standard XII

Mathematics

Coordinates of a Point in Space

Let P 3,4 ...

Question

Let $P (3, 4)$ be a point referred to $X Y -$ coordinate system translated thorough $O (5, 6)$ . Find the coordinates of $P$ referred to the original coordinate system, $x y$ system.

(8, 6)

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(5, 10)

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(8, 10)

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(5, 4)

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Solution

The correct option is C $(8, 10)$
Given $P (3, 4)$ is a point referred to XY-coordinate. The point $P (3, 4)$ is translated through $0 (5, 6)$
$∴$ Coordinate o original system $= (3 + 5, 4 + 6)$
$= (8, 10)$

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Similar questions

Q. Let

P (8, 3)

and

O (2, 5)

be two points in

x y -

coordinates system. Find the

X Y -

coordinates of

P

referred to the translated axes

O X

and

O Y

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?

Q. If

(2, 3)

are the coordinates of a point

P

in the new system when the origin is shifted to

(- 3, 7)

then the original coordinates of

P

are

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}

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.

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Let P(3,4) be a point referred to XY− coordinate system translated thorough O(5,6). Find the coordinates of P referred to the original coordinate system, xy system.

The correct option is C (8,10)Given P(3,4) is a point referred to XY-coordinate. The point P(3,4) is translated through 0(5,6)∴ Coordinate o original system =(3+5,4+6) =(8,10)

Let $P (3, 4)$ be a point referred to $X Y -$ coordinate system translated thorough $O (5, 6)$ . Find the coordinates of $P$ referred to the original coordinate system, $x y$ system.

The correct option is C $(8, 10)$
Given $P (3, 4)$ is a point referred to XY-coordinate. The point $P (3, 4)$ is translated through $0 (5, 6)$
$∴$ Coordinate o original system $= (3 + 5, 4 + 6)$
$= (8, 10)$