the origin is shifted to the point -5,9 axes remaining parallel, if the point(3,b)lies on the new Xaxes & the point (a,3)lies on tye new y-axis find the values of a&b

Asked by shreya | 29th Jun, 2013, 08:39: AM

Expert Answer:

Since the origin has been shifted from (0,0) to (-5,9) with the axis remaining parallel, we can simply determine any point on the new axis from the old ones by subtracting -5 from its x coordinate and 9 on its y coordinate. 
 
(3,b) lies on the new x -axis
On the new axis system, (3,b) would correspond to (3-(-5) , b-9) i.e. (8,b-9). Now since it lies on the new x-axis, so its y coordinate must be equal to 0. 
Hence b-9 = 0 i.e. b = 9
 
Similarly, (a,3) lies on the new y -axis
On the new axis system, (a,3) would correspond to (a-(-5) , 3-9) i.e. (a+5,-6). Now since it lies on the new y-axis, so its x coordinate must be equal to 0. 
Hence a+5 = 0 i.e. a=-5

Answered by  | 29th Jun, 2013, 06:10: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.