Circle | Problem Set 3 Lecture 1 | SSC Class 10 Geometry | Maths Part 2 | Maharashtra State Board

This Video explains Problem Set 3 of Geometry Class 10 of Circle Chapter 3.

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00:00 - ​Introduction

00:35 - Circle Problem Set - Q.1 (1)
i. Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centres?
(A) 4.4 cm
(B) 8.8 cm
(C) 2.2 cm
(D) 8.8 or 2.2 cm

03:54 - Class 10 Geometry Chapter 3 - Q.1 (2)
ii. Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle?
(A) 6 cm
(B) 12 cm
(C) 24 cm
(D) can’t say

06:02 - Class 10 Geometry Chapter 3 - Q.1 (3)
iii. A circle touches all sides of a parallelogram. So the parallelogram must be a __________.
(A) rectangle
(B) rhombus
(C) square
(D) trapezium

07:32 - Class 10 Geometry Circles Problem Set 3 - Q.1 (4)
iv. Length of a tangent segment drawn from a point which is at a distance 12.5 cm from the centre of a circle is 12 cm, find the diameter of the circle.
(A) 25 cm
(B) 24 cm
(C) 7 cm
(D) 14 cm

13:36 - Class 10 Geometry Circles Problem Set 3 - Q.1 (5)
v. If two circles are touching externally, how many common tangents of them can be drawn?
(A) One
(B) Two
(C) Three
(D) Four

14:43 - Class 10 Maths 2 Problem Set 3 - Q.1 (6)
vi. ∠ACB is inscribed in arc ACB of a circle with centre O. If ∠ACB = 65°, find m(arc ACB).
(A) 65°
(B) 130°
(C) 295°
(D) 230°

17:25 - SSC Board Geometry Circles Problem Set 3 - Q.1 (7)
vii. Chords AB and CD of a circle intersect inside the circle at point E. If AE = 5.6, EB = 10, CE = 8, find ED.
(A) 7
(B) 8
(C) 11.2
(D) 9

18:43 - Class 10 Maths 2 Problem Set 3 - Q.1 (8)
viii. In a cyclic ꠸ABCD, twice the measure of ∠A is thrice the measure of ∠C. Find the measure of ∠C?
(A) 36°
(B) 72°
(C) 90°
(D) 108°

21:02 - Class 10 Geometry Chapter 3 - Q.1 (9)
ix. Points A, B, C are on a circle, such that m(arc AB) = m(arc BC) = 120°. No point, except point B, is common to the arcs. Which is the type of ∆ABC?
(A) Equilateral triangle
(B) Scalene triangle
(C) Right angled triangle
(D) Isosceles triangle

23:45 - Class 10 Maths 2 Problem Set 3 - Q.1 (10)
x. Seg XZ is a diameter of a circle. Point Y lies in its interior. How many of the following statements are true?
(i) It is not possible that ∠XYZ is an acute angle.
(ii) ∠XYZ can’t be a right angle.
(iii) ∠XYZ is an obtuse angle.
(iv) Can’t make a definite statement for measure of ∠XYZ.
(A) Only one
(B) Only two
(C) Only three
(D) All


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Lesson number 3 Circle is a very important chapter for Standard 10th Board exams.