For a point P outside the circle, the maximum distance from the circle is PC + r, where C is the centre of the circle and r is the radius.

True

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False

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Solution

The correct option is A
True

Let A be the farthest point on the circle from P. we want to find PA

$P A = P C + A C$

$P C + r$

$\Rightarrow$ The given statement is true

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Similar questions

The least distance of a point P from a circle with centre C and radius r is PC - r

Question 3
State whether the following is true or false.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
[Thinking process
Let r = radius of circle and d = distance of a point from the centre.
1. If r = d, then point lie on the circle i.e only one tangent is possible
2. If r < d, then point lie outside the circle. i.e a pair of tangent is possible.
3. If r>d, then point lie inside the circle i.e no tangent is possible.
]

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For a point P outside the circle, the maximum distance from the circle is PC + r, where C is the centre of the circle and r is the radius.

The correct option is A True Let A be the farthest point on the circle from P. we want to find PA PA=PC+AC PC+r ⇒ The given statement is true

The correct option is A
True

Let A be the farthest point on the circle from P. we want to find PA

$P A = P C + A C$

$P C + r$

$\Rightarrow$ The given statement is true