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Does the point (-2.5, 3.5) lie inside outside or on the circle

Question

Does the point $(- 2.5, 3.5)$ lie inside outside or on the circle $x^{2} + y^{2} = 25$ ?

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Does the point

(- 2.5, 3.5)

lie inside outside or on the circle

x^{2} + y^{2} = 25

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

The equation of the given circle is

x^{2} + y^{2} = 25

\Rightarrow

Centre

= (0, 0)

and radius

= 5

Distance between point

(- 2.5, 3.5)

and centre

(0, 0)

= (- 2.5 - 0)^{2} + (3.5 - 0)^{2}

= 6.25 + 12.25 = 18.5 = 4.3 (approx) < 5

Since the distance between point

(- 2.5, 3.5)

and centre

(0, 0)

of the circle is less than the radius of the circle.
Hence the point

(- 2.5, 3.5)

lies inside the circle.

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Question Text	Does the point $(- 2.5, 3.5)$ lie inside outside or on the circle $x^{2} + y^{2} = 25$ ?
Answer Type	Text solution:1
Upvotes	150