coordinates of point A on a line is 2 what are the coordinates of points on the number line which are at a distance of 6 units from A
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Answer:
The co-ordinates of point A on the number line is 1. Now, there will be two points, one on the left of point A and the other on the right of point A on the number line which are at a distance of 7 units from point A.
Let the point C is on the right of point A and point B is on the left of point A each at a distance of 7 units from point A.The co-ordinate of point C will be larger and co-ordinate of point B will be smaller in comparison to the co-ordinate of point A
Now, d(A, C) = 7
So, co-ordinate of C − co-ordinate of A=7
Co-ordinate of C=7+co-ordinate of A=7+1=8
Also, d(B, A) = 7
So, co-ordinate of A − co-ordinate of B=7
∴ co-ordinate of B = co-ordinate of A − 7 = 1 − 7 = −6
Hence, the co-ordinates of the required points on the number line which are at a distance of 7 units from the point A are 8 and −6.