Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°

Construct a pair of tangents to a circle of radius 3 cm which are

Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 2

Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 3

Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 4
Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 5 Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 6 Question 35 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 7

 

Note : This is similar to Ex 11.2, 4 of NCERT – Chapter 11 Class 10

Check the answer here https://www.teachoo.com/5754/543/Ex-11.2--4---Draw-pair-of-tangents-to-a-circle-of-radius-5-cm-inclined/category/Ex-11.2/

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Question 35 (OR 2nd question) - CONCEPT Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60° Given angle between tangents is 60° i.e. ∠ QPR = 60° Since Angle at center is double the angle between tangents ∴ ∠ OQR = 2 × 60° = 120° So, we need to draw ∠ QOR = 120° ∴ We draw a radius, then second radius at 120° from first. Also, Tangent is perpendicular to radius So, OQ ⊥ QP & OR ⊥ PR Thus, to make tangents, we draw perpendicular from point Q and R So, we draw 90° from point Q and point R Thus, our figure will look like Question 35 (OR 2nd question) Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60° Steps of construction Draw a circle of radius 3 cm Draw horizontal radius OQ 3. Draw angle 120° from point O Let the ray of angle intersect the circle at point R Now, draw 90° from point Q 5. Draw 90° from point R 6. Where the two arcs intersect, mark it as point P ∴ PQ and PR are the tangents at an angle of 60°

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo