Chapter 10 Circles Ex 10.2 Question 1. 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 (a) 7 cm Sol. (b) 12 cm (c) 15 cm (d) 24.5 cm Solution: Question 2. In figure, if TP and...
Chapter 10 Circles Ex 10.1 Question 1. How many tangents can a circle have? Solution: There can be infinitely many tangents to a circle. Question 2. Fill in the blanks: (i) A tangent to a circle intersects it in ………… point(s). (ii) A line intersecting a...
Chapter 9 Some Applications of Trigonometry Ex 9.1 Question 1. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground...
Chapter 8 Introduction to Trigonometry Ex 8.4 Question 1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. Solution: From trigonometric identity, cosec² A – cot² A = 1, we get Question 2. Write all the other trigonometric ratios of ∠A in...
Chapter 8 Introduction to Trigonometry Ex 8.3 Question 1. Solution: Question 2. Show that: (i) tan 48° tan 23° tan 42° tan 67° = 1 (ii) cos 38° cos 52° – sin 38° sin 52° = 0 Solution: (i) LHS = tan 48° tan 23° tan 42° tan 67° = tan 48° tan 23° tan (90° – 48°) tan (90°...
