
Coordinate Geometry Exercise 14.3 – Class 10
Coordinate Geometry Exercise 14.3 – Questions: Find the distance between the following pairs of points (i) (8, 3) and (8,7) (ii) (1,3) and (4, 7) (iii) (4, 5) and (12, 3) (iv) 6, 5) and (4, 4) (v) (2,0) and (0, 3) (vi) (2, 8) and (6, 8) (vii) (a, b) and (c, b) (viii) […]

Coordinate Geometry Exercise 14.2 – Class 10
Coordinate Geometry Exercise 14.2 – Questions: Find the equation of the line whose angle of inclination and yintercept are given. (i) θ = 60˚, yintercept is 2. (ii) θ = 45˚, yintercept is 3. Find the equation of the line whose slope and yintercept are given. (i) Slope = 2, yintercept = 4 (ii) Slope […]

Coordinate Geometry Exercise 14.1 – Class 10
Coordinate Geometry Exercise 14.1 – Questions: Find the slope of the curve whose inclination is (i) 90˚ (ii) 45˚ (iii) 30˚ (iv) 0˚ Find the angles of inclination of straight lines whose slopes are (i)√3 (ii) 1 (iii) 1/√3 Find the slope of the line joining the points (i) (4, 1) and (5, 2) (ii) […]

Trigonometry Exercise 13.5 – Class 10
Trigonometry Exercise 13.5 – Questions: Find the value of ‘x’: (i) (ii) (iii) (iv) (v) II. A tall building casts a shadow of 300 m long when the sun’s altitude (elevation) is 30˚. Find the height of the tower. From the top o a building 50√3 m high, the angle of depression of an object […]

Trigonometry Exercise 13.4 – Class 10
Trigonometry Exercise 13.4 – Solutions: Evaluate: tan65˚/cot25˚ sin18˚/cos72˚ iii. cos48˚ sin42˚ cosec31˚ – sec59˚ cot34˚ – tan56˚ sin36˚/cos54˚ – sin54˚/cos36˚ vii. sec70˚ sin20˚ – cos70˚cosec20˚ viii. cos213˚ – sin277˚ Prove that: sin35˚ sin55˚ – cos35˚cos55˚ = 0 tan10˚tan15˚tan75˚tan80˚ = 1 iii. cos38˚cos52˚ – sin38˚sin52˚ = 0 III. If sin5θ = cos4θ, where 4θ […]

Trigonometry Exercise 13.3 – Class 10
Trigonometry Exercise 13.3 – Questions: I. Show that (1 – sin2θ) sec2 θ = 1 (1 + tan2 θ) cos2 θ = 1 (1 + tan2 θ)(1 – sin θ)( 1 + sin θ) = 1 sin θ/(1+cosθ) + 1+cosθ/sinθ = 2 cosec θ 1 + sinθ/1 – sinθ = (sec θ + tan θ)2 […]

Trigonometry Exercise 13.2 – Class X
Trigonometry Exercise 13.2 – Questions: I. Answer the following questions: What trigonometric ratios of angles from 0 to 90 are equal to 0? Which trigonometric ratios of angles from 0 to 90 are equal to 1? Which trigonometric ratios of angles from 0 to 90 are equal to 1/2? Which trigonometric ratios of angles from […]

Trigonometry Exercise 13.1 – Class 10
Trigonometry Exercise 13.1 – Questions: Find sin θ and cos θ for the following: (i) (ii) (iii) 2.Find the following: If sin x = 3/5 , cosec x = ______________ If cos x = 24/25, sec x = _______________ If tan x = 7/24 , cot x = _______________ If cosec x = 25/15 , […]

Pythagoras Theorem Exercise 12.2 – Class 10
Pythagoras Theorem – Exercise 12.2 – Questions: Verify whether the following measures represent the sides of a right angled triangle. (i)1, 2, √3 (ii) √2, √3, √5 (iii) 6√3, 12, 6 (iv) m2 – n2, 2mn, m2 + n2 In triangle ∆ABC, a + b = 18 units, b + c = 25 units and […]

Pythagoras Theorem Exercise 12.1 – Class 10
Pythagoras Theorem – Exercise 12.1 – Questions: a. Numerical problems based on Pythagoras theorem. The sides of a right angled triangle containing the right angle are 5 cm and 12 cm, find its hypotenuse. Find the length often diagonal of a square of side 12 cm. The length of the diagonal of a rectangular playground […]