Home UP BOARD Question Papers NCERT Solutions Sample Papers CBSE Notes NCERT Books CBSE Syllabus

Ncert Solutions For Class 10 Maths Chapter 10 Circles

circles class 10 ncert solution,artic circle, circle lines , ncert solutions, chapter 10,chapter 10ncert solutions, circles ncert solutions, ncert solutions for class 10 maths, class 10 maths ncert solutions, ncert solutions for class 10, ncert class 10 maths, class 10 maths, class 10 maths solution, ncert solutions class 10, class 10 maths , ncert class 10, class 10 maths chapter 10,chapter 10 circles ncert solutions

Download NCERT Solutions for Class 10 Mathematics

Chapter 10 Circles

(Link of Pdf file is given below at the end of the Questions List)

In this pdf file you can see answers of following Questions


EXERCISE 10.1


Question 1. How many tangents can a circle have? 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 .


Question 2. 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.


Question 3. 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.


EXERCISE 10.2


Question 1. 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
(A) 7 cm
(B) 12 cm
(C) 15 cm
(D) 24.5 cm


Question 2. In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to
(A) 60°
(B) 70°
(C) 80°
(D) 90°


Question 3. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠ POA is equal to
(A) 50°
(B) 60°
(C) 70°
(D) 80°


Question 4. Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.


Question 5. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.


Question 6. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.


Question 7. A quadrilateral ABCD is drawn to circumscribe a circle (see Fig. 10.12). Prove that AB + CD = AD + BC Fig. 10.12 Fig. 10.13


Question 8. In Fig. 10.13, XY and X′Y′ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X′Y at B. Prove that ∠ AOB = 90°.


Question 9. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.


Question 10. Prove that the parallelogram circumscribing a circle is a rhombus.


Question 11. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig. 10.14). Find the sides AB and AC.


Question 12. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Please Wait pdf file is loading (कृपया इंतजार करें pdf file लोड हो रही है)...
Loading speed will depend up on your download speed. Pdf file के लोड होने में लगा समय आपकी डाउनलोड ���्पीड पर निर्भर करेगा


Loading document ...
Page
of
Loading page ...

Download pdf file links for Circles Class 10 NCERT Solution

To download above pdf file Link is given below.
उपर दिखायी दे रही पीडीऍफ़ को डाउनलोड करने का लिंक नीचे दिया गया है

Important Links

NCERT CBSE Notes Class 6 - 12 Download pdf

Ncert Solution for class 6 to 12 download in pdf

CBSE Model test papars Download in pdf

NCERT Books for Class 1- 12 Hindi & English Medium

Mathematics Biology Psychology
Chemistry English Economics
Sociology Hindi Business Studies
Geography Science Political Science
Statistics Physics Accountancy

CBSE Syllabus Class 9 to 12 Year 2021-22

Last year CBSE Question paper

Important Links

Follow Us On

Face book page ncerthelp twitter page youtube page linkdin page

Solved Last Year Question Paper

If You have any problem/query related to above page please send us your Query to ncerthelp@gmail.com with code Serial No1481/1103. Thanks

Please Share this webpage on facebook, whatsapp, linkdin and twitter.

Facebook Twitter whatsapp Linkdin

Copyright @ ncerthelp.com A free educational website for CBSE, ICSE and UP board.