Question

the length of the tangent from an external point P to a circle with centre o is always less than op Is this statement true? Give reason.​

Answer 1

Answer:

Step-by-step explanation:

Yes , the statement is true

Reason :  op is hypothenus, as it is opposite to right angle

Answer 2

It is true that, the length of the tangent from an external point P to a circle with center o is always less than op.

• Given,
• an external point P.
• center of the circle O.
• Considering the tangent intersects the circle with center O at Q.
• Then a right angled triangle is formed with the vertices P,Q and O with sides PQ, PO and OQ.
• Since, PO becomes the hypotenuse and as hypotenuse is the largest side of a triangle.
• Therefore, the length PQ will always be less than PO.