The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.

Open in App

Solution

M0 (a, b) = (-a, -b)

My (-a, -b) = (a, -b)

thus we get the co-ordinate of point P' as (a, -b).
It is given that the co-ordinate of P' are (4, 6)

on comparing the two points we get

a = 4 and
b = -6

Suggest Corrections

Similar questions

The point P (x, y) is first reflected in the x-axis and then reflected in teh origin to P'. If P' has co-ordinats (-8, 5); evaluate x and y.

A point P (a, b) is reflected in the x-axis to P' (2, 3). Write down the values of a and b. P" is the image of P, reflected in the y-axis. Write down the co-ordinates of P". Find the co-ordinates of P", when P is reflected in the line, parallel to y-axis, such that x = 4.

(i) Point P (a, b) is reflected in the x-axis to P' (5, -2). Write down the values of a and b.

(ii) P" is the image of P when reflected in the y-axis. Write down the co-ordinates of P".

(iii) Name a single transformation that maps P' to P".

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A'', then coordinates of A'' will be

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A".

(i) Write down the co-ordinates of A".

(ii) Write down a single transformation that maps A onto A".

Join BYJU'S Learning Program

The point P (a, b) is first reflected in the origin and then reflected in the y-axis to P'. If P' has co-ordinates (4, 6); evaluate a and b.

M0 (a, b) = (-a, -b) My (-a, -b) = (a, -b) thus we get the co-ordinate of point P' as (a, -b). It is given that the co-ordinate of P' are (4, 6) on comparing the two points we get a = 4 and b = -6

M0 (a, b) = (-a, -b)

My (-a, -b) = (a, -b)

thus we get the co-ordinate of point P' as (a, -b).
It is given that the co-ordinate of P' are (4, 6)

on comparing the two points we get

a = 4 and
b = -6