Mathematics Class 10 Chapter 10: Tangents and Angles of a Circle
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Chapter summary
Chapter 10 of Mathematics for Class 10 is called "Tangents and Angles of a Circle". It covers 9 learning outcomes of the Federal Board syllabus. You will learn to: solve problems by using the property of circle: If a line is drawn perpendicular to a radial segment of circle at its and Angles of outer end point, i; solve problems by using the property of circle: The tangent a circle and the radial segment joining the point of contact and the centre are perpendicu. Parhayi.com has 207 MCQs, 18 short questions and 10 long questions for this chapter.
Topics in this chapter
- Solve problems by using the property of circle: If a line is drawn perpendicular to a radial segment of circle at its and Angles of outer end point, i
- Solve problems by using the property of circle: The tangent a circle and the radial segment joining the point of contact and the centre are perpendicu
- Solve problems by using the property of circle: The two tangents drawn to a circle from a point outside it, are equal in length
- Solve problems by using the property of circle: If two circles touch externally or internally, the distance between their centres is respectively equa
- Solve problems by using the property of circle: The measure of a is central angle of a minor arc of a circle double that of the angle subtended by the
- Solve problems by using the property of circle: Any two angles in the same segment of a circle are equal
- Solve problems by using the property of circle: The angle in a semi-circle is a right angle, in a segment greater than a semi-circle is less than a ri
- Solve problems by using the property of circle: The opposite angles of any quadrilateral inscribed in a circle are supplementary
- Apply concepts of tangents and angles of a circle to real life world problems (such as architecture, monuments, pyramids)
Sample questions
Try these questions from the chapter. The answers are for Premium students.
- Find the values of x and y from the cyclic quadrilateral ABCD inscribed in a circle, where ∠D = 95°, ∠A = (y + 20)°, ∠C = (2y − 20)° and ∠B = (2x − 5)°. (4 marks)
- Prove that if a line is drawn perpendicular to a radial segment of a circle at its outer end point, it is tangent to the circle at that point. (4 marks)
- The opposite angles of a quadrilateral inscribed in a circle are (2x + 10)° and (3x + 20)°. Find x and the two angles. (4 marks)
What Premium gives you in this chapter
- 207 MCQs with answers and explanations
- 18 short questions with full answers
- 10 long questions with answers
- 11 Learn cards
- 9 Activities and games
- chapter tests that show your weak topics
Mathematics grows step by step. Read the rule, study one worked example, then solve similar questions yourself and check every step.
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