0

Guest

Courses New

one and only one tangent can be drawn through a point on a circle. proof explanation

one and only one tangent can be drawn through a point on a circle. proof explanation

Grade:9

2 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,

If the P is the ponit on circle, through which tangent is drawn. That means the angle between the tangent and the Line joining PO (O is the center of the circle). will be 90 degree. Now if we slightly change the angle then firstly the angle will not remain 90 degree. Secondly the line will become secant (not tangent).

Thanks.

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
8 years ago
This can pe proved by method of contradiction. Take two lines at a point and assume them to be tangents. SInce only one of them can be perpendicular you can prove like this with help of perpendicular.

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More