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CBSE Class 10 · Boards 2027 · NCERT 2026-27 syllabus

NCERT Solutions Class 10 Maths Chapter 10 Circles

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  • Boards begin February 2027
  • Pre-boards are in December
  • Circles is in Geometry, which carries 15 of the 80 marks in the 2026-27 CBSE Maths paper

6 NCERT textbook questions from Chapter 10

Exercise 10.1

NCERT Ex 10.1 Q31 mark
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
NCERT Ex 10.1 Q22 marks
Fill in: (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 and the circle is called the ___.

Exercise 10.2

NCERT Ex 10.2 Q11 mark
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
NCERT Ex 10.2 Q31 mark
Tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°. Then ∠POA equals
NCERT Ex 10.2 Q62 marks
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.
NCERT Ex 10.2 Q115 marks
Prove that the parallelogram circumscribing a circle is a rhombus.

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Questions from the NCERT Class 10 Mathematics textbook; the solutions are written by LazyTopper. LazyTopper is an independent platform and is not affiliated with CBSE or NCERT.

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