Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Unit Test: Circles

Unit Test: Circles | Mathematics (Maths) Class 10 PDF Download

Q1: A circle has a number of tangents equal to (1 Mark)

(a) 0
(b) 1
(c) 2
(d) Infinite


Q2: If the angle between two radii of a circle is 110º, then the angle between the tangents at the ends of the radii is: (1 Mark)

(a) 90º
(b) 50º
(c) 70º
(c) 40º


Q3: If a parallelogram circumscribes a circle, then it is a ______________________.


Q4: Two concentric circles are of radii 5 cm and 3 cm. The length of the chord of the larger circle which touches the smaller circle is:

(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 18 cm


Q5: What is a secant? (1 Mark)


Q6: If PS and PT are tangents from an external point P such that PS = 10 cm and ∠SPT = 60°. Find the length of chord ST. (2 Marks)Unit Test: Circles | Mathematics (Maths) Class 10


Q7: In the given figure, O is the centre of the circle, PT is the tangent and PAB is the secant passing through centre O. If PT = 8 cm and PA = 4 cm, then find the radius of the circle. (2 Marks)Unit Test: Circles | Mathematics (Maths) Class 10


Q8: A circle touches the side BC of a ∆ABC at P, and touches AB and AC produced at Q and R respectively as shown in fig. Show that AQ = 1/2 (Perimeter of ∆ABC).  (2 Marks)Unit Test: Circles | Mathematics (Maths) Class 10


Q9: In figure, AP and BP are tangents to a circle with centre O, such that AP = 5 cm and ∠APB = 60° Find the length of chord AB.  (3 Marks) Unit Test: Circles | Mathematics (Maths) Class 10


Q10: ABC is a right-angled triangle, right angled at B and with BC = 6 cm and AB = 8 cm. A circle with centre O and radius x has been described in AABC. Find the values of x. (3 Marks)

Unit Test: Circles | Mathematics (Maths) Class 10
Q11: In figure, O is the centre of a circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects circle at E. If AB is a tangent to the circle at E, find the length of AB, where TP and TQ are two tangents to the circle. (3 Marks)Unit Test: Circles | Mathematics (Maths) Class 10


Q12: In the adj oining figure from an external point P, a tangent PT and a line segment PAB is drawn to a circle with centre O. ON is perpendicular on the chord AB. Prove that (5 Marks)
Unit Test: Circles | Mathematics (Maths) Class 10
(i) PA.PB = PN2 – AN2
(ii) PN2 – AN2 = OP2 – OT2
(iii) PA.PB = PT2

Q13: From point P outside the circle, with centre O, tangents PA and PB are drawn in the adjoining fig. If OP is equal to the diameter of the circle, prove that PAB is an equilateral triangle. (5 Marks)
Unit Test: Circles | Mathematics (Maths) Class 10


You can find the solutions of this Unit Test here: Unit Test (Solutions): Circles

The document Unit Test: Circles | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10
127 videos|584 docs|79 tests

FAQs on Unit Test: Circles - Mathematics (Maths) Class 10

1. What is the formula to calculate the area of a circle?
Ans. The area of a circle can be calculated using the formula A = πr², where A represents the area and r is the radius of the circle.
2. How do you find the circumference of a circle?
Ans. The circumference of a circle can be found using the formula C = 2πr or C = πd, where C is the circumference, r is the radius, and d is the diameter of the circle.
3. What is the relationship between the radius and diameter of a circle?
Ans. The diameter of a circle is twice the length of the radius. This means that if you know the radius, you can find the diameter by multiplying the radius by 2 (d = 2r).
4. How can I determine the area of a circle if I only know the diameter?
Ans. To find the area of a circle when you only have the diameter, first divide the diameter by 2 to get the radius. Then, use the area formula A = πr², substituting the radius you calculated.
5. What are some practical applications of circles in real life?
Ans. Circles are commonly found in various real-life applications such as wheels, pizzas, clocks, and round tables. They are essential in engineering, architecture, and design, as well as in nature, such as in the shape of planets and cells.
Related Searches

Exam

,

ppt

,

pdf

,

Previous Year Questions with Solutions

,

Unit Test: Circles | Mathematics (Maths) Class 10

,

shortcuts and tricks

,

study material

,

MCQs

,

video lectures

,

mock tests for examination

,

Important questions

,

Extra Questions

,

Unit Test: Circles | Mathematics (Maths) Class 10

,

practice quizzes

,

Free

,

Summary

,

Sample Paper

,

Semester Notes

,

Unit Test: Circles | Mathematics (Maths) Class 10

,

past year papers

,

Viva Questions

,

Objective type Questions

;