Q3 of 26 Page 230

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.


Step1: Draw circle of random radius with BC as diameter.


Step2: Draw line AD perpendicular to BC to touch the circle at D


Such that ∠D = 90°


Step3: Draw line through D parallel to BC that will form a tangent


Step4: Take a random point on line AD as F and draw a line through F parallel to BC to intersect circle in two points that forms a secant.


More from this chapter

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1

Fill in the blanks

i. A tangent to a circle intersects it in …………….. point (s).


ii. A line intersecting a circle in two points is called a ……………..


iii. A circle can have ……………… parallel tangents at the most.


iv. The common point of a tangent to a circle and the circle is called ……………


v. We can draw ……………….. tangents to a given circle.

 2

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that P OQ = 12 cm. Find length of PQ.

 4

Calculate the length of tangent from a point 15 cm. away from the circle of a circle of radius 9 cm.

 5

Prove that the tangents to a circle at the end points of a diameter are parallel.