Question

find the value of p for which the point A(_1,3) B (2,p) and c (5,_1)​

Answer 1

Step-by-step explanation:

It is given that A (–1, 3), B (2, p) and C (5, –1) are collinear.

Distance between two points (x1, y1) and (x2, y2) is given by

Again on squaring both the sides

(p2– 6p + 18) (p2+ 2p + 10) = (–p2+ 2p + 12)2

p4 + 2p3 +10p2 – 6p3–12 p2 – 60p +18p2 + 36p +180 = p4 + 4p2 + 144 – 4p3 + 48p – 24p2

p4 – 4p3 +16p2 – 24p +180 = p4 – 4p3 – 20p2 + 48p + 144

36p2 – 72p + 36 = 0

p2 – 2p +1 = 0

(P – 1)2 = 0

p– 1 = 0

p = 1

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Answer 2

Step-by-step explanation:

The mono-fibers do not trap air pockets like cotton and provide poor insulation.

Synthetic fibers burn more rapidly than natural.

Prone to heat damage.

Melt relatively easily.

Prone to damage by hot washing