NCERT Solutions for Class 10 Maths Exercise 10.1

NCERT Solutions for Class 10 Maths Exercise 10.1 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Circles Download as PDF

NCERT Solutions for Class 10 Maths Circles

1. How many tangents can a circle have?

Ans. A circle can have infinitely many tangents since there are infinitely many points on the circumference of the circle and at each point of it, it has a unique tangent.

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NCERT Solutions for Class 10 Maths Exercise 10.1

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 _______________.

Ans. (i) A tangent to a circle intersects it in one point.

(ii) A line intersecting a circle in two points is called a secant.

(iii) A circle can have two parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called point of contact.

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NCERT Solutions for Class 10 Maths Exercise 10.1

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) cm

Ans. (D) PQ is the tangent and OP is the radius through the point of contact.

OPQ = [The tangent at any point of a circle is to the radius through the point of contact]

In right triangle OPQ,

OQ² = OP² + PQ² [By Pythagoras theorem]

= 144 – 25 = 119

PQ = cm

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NCERT Solutions for Class 10 Maths Exercise 10.1

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.

Ans.

NCERT Solutions for Class 10 Maths Exercise 10.1

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