Question

If the coordinates of a point (P – 2, 4) is on y-axis, then find p

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Answer 1

Answer:

ANSWER

Let P(x,y) be any point in the XY−plane. Let O′(h,k) be the fixed point in the XY− plane

The equations X=x–h,Y=y–k are called transformation equations and are used to find the coordinates of a point with respect to the new coordinate system, the XY− system.

Thus, the point P(x,y) with respect to the XY− plane is P(x–h,y–k).

Translated axis origin is at O

′

(1,3)

Translated point is O

′

(0+h,0+k)=O

′

(1,3)

∴0+h=1 and 0+k=3

=>h=1 and k=3

∴ Point is P(2,4)

∴ translated point is P

′

(2−1,3−4)

=P

′

(1,−1)