# Draw a circle with the help of a bangle. Take a point P outside the circle. Construct the pair of tangents from this point P to the circle.

Last updated date: 18th Mar 2023

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Answer

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Hint: Here, we will be using the basic geometry and will be drawing the pair of tangents from point P with the help of a scale.

Complete step-by-step answer:

Step1- Firstly, we will take the bangle and draw the circle with the help of the bangle by marking the boundary of the bangle.

Step2- Now, we will take any point P outside the circle whose coordinates will be given for any particular case and then we will draw a pair of lines from this point P to the points where these lines will just touch the circle. Through this we will get a pair of tangents from point P to the circle drawn by the bangle.

Step3- Finally we can conclude that the tangents are touching the drawn circle at two points say A and B. So PA and PB are the two required pairs of tangents from point P to the drawn circle.

Note: In these type of problems, we simply take the bangle and draw the outer boundary of the bangle with the help of pencil and then mark the given point P and through that point two lines are extended such that these lines touch the circle because tangents to the circle are the lines which touches the circle.

Complete step-by-step answer:

Step1- Firstly, we will take the bangle and draw the circle with the help of the bangle by marking the boundary of the bangle.

Step2- Now, we will take any point P outside the circle whose coordinates will be given for any particular case and then we will draw a pair of lines from this point P to the points where these lines will just touch the circle. Through this we will get a pair of tangents from point P to the circle drawn by the bangle.

Step3- Finally we can conclude that the tangents are touching the drawn circle at two points say A and B. So PA and PB are the two required pairs of tangents from point P to the drawn circle.

Note: In these type of problems, we simply take the bangle and draw the outer boundary of the bangle with the help of pencil and then mark the given point P and through that point two lines are extended such that these lines touch the circle because tangents to the circle are the lines which touches the circle.

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