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Prove that the tangent at any point of circle is perpendicular to the radius through the point of contact.
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Practice questions from similar books
Question 1
The centres of two circles C1 and each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1\displaystyle{\quad\text{and}\quad}{C}{2}{\quad\text{and}\quad}{C}{b}{e}{a}\circ\le\to{u}\chi{n}{g}\circ\le{s}{C}{1}{\quad\text{and}\quad}{C}{2}{e}{x}{t}{e}{r}{n}{a}{l}{l}{y}.{I}{f}{a}{c}{o}{m}{m}{o}{n}{\tan{\ge}}{n}{t}\to{C}{1}{\quad\text{and}\quad}{C}{p}{a}{s}{\sin{{g}}}{t}{h}{r}{o}{u}{g}{h}{P}{i}{s}{a}{l}{s}{o}{a}{c}{o}{m}{m}{o}{n}{\tan{\ge}}{n}{t}\to{C}{2}{\quad\text{and}\quad}{C},{t}{h}{e}{n}{t}{h}{e}{r}{a}{d}{i}{u}{s}{o}{f}{t}{h}{e}\circ\le{C}{i}{s}Question 2
The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is
| Question Text | Prove that the tangent at any point of circle is perpendicular to the radius through the point of contact. |
