exercise 10.1 class 10 ncert solution answer key

1.How many tangents can a circle have?
Solution:
There can be infinitely many tangents to a circle.

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 ……….. .
Solution:
NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 PDF Q2

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 PQ is
(a) 12 cm
(b) 13 cm
(c) 8.5 cm
(d) √119 cm
Solution:
Ex 10.1 Class 10 Maths Solutions NCERT PDF Q3

Note: PQ = √119


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.
Solution:
Exercise 10.1 Class 10 Maths Solutions NCERT PDF Q4