Question

Draw a circle of radius 1.5 cm. Take a point P outside it. Without using the centre, draw two
tangents to the circle from the point P ?

Answer 1

PT and PT' are the required tangents shown below.

Step-by-step explanation:

Consider the provided information.

We need to draw a circle of radius 1.5 cm.

Follow the steps shown below:

Step 1: Take a point and draw a circle of radius 1.5 cm.

Step 2: Take any point P outside the circle and from P draw a secant to meet the circle at A and B.

Step 3: Extend AP to C where PC = PA and bisect CB at point Q.

Step 4: Take Q as a center and and CB as diameter draw a semi circle.

Step 5: Draw PD perpendicular to CB, cutting semi circle at D.

Step 6: Take P as center and PD as radius draw an arc to cut the circle at T and T'.

Thus, PT and PT' are the required tangents.

The required figure is shown below:

#Learn more

Draw a pair of tangents to a circle of radius 5cm which are inclined to each other at an angle of 45 degree​

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