Question

If X, Y, Z, P are points on a line, X, Y have coordinates -7, 11 with respect to an origin on the line and $XZ=ZY=PY=9$, $ZP=18$, then which one of the following is the correct sequence ?

• A. X - Z - P - Y
• B. Y - Z - X - P
• C. P - Z - Y- X
• D. P - Y - Z - X

Answer 1

The correct option is D P - Y - Z - X

$X,Y,Z,P$ are the points on a line.

Coordinates of $X,Y$ are $-7,11$ with respect to origin on the line

$XZ=9⟹Z=9+X=2$

$ZY=9⟹Z+9=Y=11$

$PY=9$ and $ZP=18$. So, the sequence will be $Z-Y-P$ or $P-Y-Z$

Thus, the correct sequence is $P-Y-Z-X$.

Hence, option D is correct.