10th Class Maths Solutions - Ch 10 Circles

10th Class Maths Solutions - Ch 10 Circles

Brief description: Circle is a collection of all the points in a plane surface which are at a constant distance from a center i.e. a fixed point.

Circumference is the outer parameter of the circle.

Radius can be a line from any point on the circumference to the center of the circle.

Now we will discuss a new topic as per CBSE Maths syllabus ‘Tangent to a circle’.

Tangent to a circle

In the above diagram, only one-point A is common to the circle and the line PQ, this is called Tangent to a circle. Therefore, as a definition, a line that intersects circle at one point only is called Tangent to the circle

Points to Ponder

• There is only one unique tangent at a point of the circle.
• When the two end points of its corresponding chord coincide thenthe tangent to a circle is a special case of the secant.
• The common point of the tangent and the circle is called the point of contact (Point A in above figure) and the tangent is said to touch the circle at the common point.

Now we will proceed ahead with theorem:

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