In fig. 28.7 if the coordinates of point `P\ a r e\ (a , b , c)` then Write the coordinates of points A, B, C, D, E and F. Write the coordinates of the feet of the perpendiculars from the point P to the coordinate axes. Write the coordinates of the feet of the perpendicular from the point `P` on the coordinate planes `X Y ,\ Y Z\ a n d\ Z Xdot` Find the perpendicular distances of point `P` from `X Y , Y Z\ a n d\ Z X-` planes. Find the perpendicular distances of the point `P` fro the coordinate axes. Find the coordinates of the reflection of `P` are `(a , b , c)` . Therefore `O A=a ,\ O B=b\ n d\ O C=cdot`

Options

A. `(a,b,0),(0,b,c),(a,0,c)`
B. `(a,b,0),(b,c,0),(a,c,0)`
C. `(0,b,c),(a,0,c),(a,b,0)`
D. `(a,0,c),(0,b,c),(a,b,0)`

Answer

A

Explanation

Clearly `PD,PE` and `PF` are the perpendiculars from `P` on `XY,YZ` and `ZX` planes respectively. So, D,E and F are feet of the perpendiculars from `P` on `XY,YZ` and `ZX` -planes. The coordinates of `D,E` and `F` are `D(a,b,0),E(0,b,c)` and `F(a,0,c)` respectively.