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Class 10 Mathematics by VP Classes

Class 10 : Notes | EduRev

The document Notes | EduRev is a part of the Class 10 Course Class 10 Mathematics by VP Classes.
All you need of Class 10 at this link: Class 10

NCERT TEXTBOOK QUESTIONS SOLVED
Page No. 209
EXERCISE 10.1

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
(ii) secant
(iii) two
(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

 Notes | EduRev
Sol. Since
 Notes | EduRev
∴ 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.
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