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)… Continue reading Coordinate Geometry Exercise 14.3 – Class 10

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## Coordinate Geometry Exercise 14.2 – Class 10

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

## 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)… Continue reading Coordinate Geometry Exercise 14.1 – Class 10

## 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… Continue reading Trigonometry Exercise 13.5 – Class 10

## 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… Continue reading Trigonometry Exercise 13.4 – Class 10

## 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… Continue reading Trigonometry Exercise 13.3 – Class 10

## 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… Continue reading Trigonometry Exercise 13.2 – Class X

## 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 ,… Continue reading Trigonometry Exercise 13.1 – Class 10

## 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… Continue reading Pythagoras Theorem Exercise 12.2 – Class 10

## 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… Continue reading Pythagoras Theorem Exercise 12.1 – Class 10