Which of the following points lies on the circle whose center is at the origin and whose radius is 5? A (-3, 4) B (1, -2) C (, )

Question

asked May 26, 2017 213k views

2 Answers

Jason Galvin · Answer 1 · 2017-05-31T15:30:25+0000

Answer with explanation:

Equation of Circle having Center, (a,b) and , radius =r units , is written as

→→(x-a)²+(y-b)²=r²

Equation of circle ,having center at the Origin and radius =5 units will be equal to:

→→ (x-0)²+(y-0)²=5²

⇒x² + y²=25

If, you substitute, x=-3. and , y=4 ,in the above equation

L HS= (-3)² +4²

= 9 + 16

= 25

=R HS

So, Point , (-3,4) lies on the circle.

Option A: (-3,4)