Mathematics
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.
Circles
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Answer
Steps of construction :
Draw a line l and mark a point O on it. With O as center draw a circle of any convenient radius.
Mark a point C on the circumference of the circle such that O, C lie in the same imaginary line.
Draw a line AB parallel to line l passing through point C. AB is the required tangent.
Mark a point D inside the circle such that the points C, O, D are on the same imaginary line.
Draw XY, a line parallel to l touching the circle at point E and F. EF is the required secant.
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Related Questions
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 ……………
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 OQ = 12 cm. Length PQ is :
12 cm
13 cm
8.5 cm
cm.
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
7 cm
12 cm
15 cm
24.5 cm
In the given figure, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to
60°
70°
80°
90°
