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 (, )

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)

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step-by-step explanation: