NCERT TEXTBOOK QUESTIONS SOLVED
Page No. 209
Q 1. How many tangents can a circle have?
Sol. A circle can have an infinite number of tangents.
Q 2. 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 ...........
Sol. (i) exactly one
(iv) point of contact.
Q 3. 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 of PQ is:
(A) 12 cm
(B) 13 cm
(C) 8.5 cm
∴ The option (D) is correct.
Q 4. 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.
Sol. A line m is parallel to the given line n and a line l which is secant is parallel to the given line n.