Question

IF THE DISTANCE B/W THE POINT a (p,0) AND b(0,p) IS 10, FIND THE POSSIBLE VALUES OF P.
This question is taken from "Book 3, 7th edition, Chapter 6 exercise 6B" of new syllabus mathematics by dr yeap ban har.

Also note that please answer as soon as possible because I'm studying for my math's exam which is tomorrow!

Answer 1

Answer:

p = ±7.07 ≈ ±7

Step-by-step explanation:

Given two points are ,

• a ( p, 0 )
• b ( 0, p)

The distance between them is 10 .

So , on using Distance Formula :-

=> Distance = √ [ (x1 - x2 )² + ( y1 - y2 )² ]

=> Distance = √ [ ( p - 0)² + ( 0 - p)² ]

=> Distance = √ [ p² + p² ]

=> 10 = √ [ 2p² ]

=> 100 = 2p²

=> p² = 100/2

=> p² = 50

=> p = √[50]

=> p = ± 7.07 ≈ ±7