P is a point in the exterior of angleXYZ as shown in the figure. PX, PY and PZ are joined,
a. Is XY+YZ > ZX? Why?
b. Is PX + PY > XY? Why?
c Is PX+ PZ> XZ? Why?
d. Is PY+ PZ>YZ? Why?
e. Is 2(PX + PY + PZ) > (XY+YZ+ZX)? How?
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ANSWER
px+y+z=1
x+py+z=p
x+y+pz=p
2
you can use Row Echelon from
But here a trick is easy to see
put p=−2
−2x+y+z=1
x−2y+z=−2
x+y−2z=4 Add
⇒0=3 Not possible
∴ For P=−2: No solution
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