class 10 maths chapter 7 exercise 7.1 – Coordinate Geometry Exercise 7.1 Solutions Coordinate Geometry 1. Find the distance between the following pairs of points: Using the Distance Formula: d = √[(x₂ – x₁)² + (y₂ – y₁)²] (i) (2, 3), (4, 1) d = √[(4 – 2)² + (1 – 3)²] = √[2² + … Read more
class 10th math exercise 11.1 extra question(R.D. Sharma Level) Extra Practice Questions Areas Related to Circles (R.D. Sharma Level) 1. The diameter of a car wheel is 70 cm. How many revolutions will it make to travel 1.65 km? Step 1: Find the circumference of the wheel. Diameter = 70 cm, Radius (r) = 35 … Read more
Class 10th math exercise 11.1 – Areas Related to Circles Exercise 11.1 Solutions Areas Related to Circles (Unless stated otherwise, take π = 22/7) 1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. Given: radius (r) = 6 cm, angle (θ) = 60°. … Read more
class 10 maths chapter 10 exercise 10.2 – Circles Exercise 10.2 Solutions Circles 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… Let the center of the circle be O and … Read more
class 10 maths chapter 10 exercise 10.1 – Circles Exercise 10.1 Solutions Circles 1. How many tangents can a circle have? A circle is a collection of infinitely many points in a plane. A tangent can be drawn to the circle at each of these points. Answer: A circle can have infinitely many tangents. 2. … Read more
application of trigonometry extra questions (R.D. Sharma Level) Extra Practice Questions Applications of Trigonometry (R.D. Sharma Level) 1. An aeroplane at an altitude of 1200 meters finds that two ships are sailing towards it in the same direction. The angles of depression of the ships as observed from the aeroplane are 60° and 30°. Find … Read more
class 10 maths chapter 9 exercise 9.1 solutions Exercise 9.1 Solutions Some Applications of Trigonometry 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 … Read more
arithmetic progression class 10 extra questions (R.D. Sharma Level) Extra Practice Questions Arithmetic Progressions (R.D. Sharma Level) 1. If the ratio of the sum of the first n terms of two APs is (7n + 1) : (4n + 27), find the ratio of their 9th terms. Let the two APs have first terms a₁, … Read more
class 10 maths chapter 5 exercise 5.3 Exercise 5.3 Solutions Arithmetic Progressions 1. Find the sum of the following APs: Formula: Sn = n/2 [2a + (n-1)d] (i) 2, 7, 12, …, to 10 terms. a=2, d=5, n=10. S10 = 10/2 [2(2) + (10-1)5] = 5[4 + 45] = 5(49) = 245. (ii) -37, -33, … Read more
class 10 maths chapter 5 exercise 5.2 Exercise 5.2 Solutions Arithmetic Progressions 1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP: The formula to use is: an = a + (n-1)d (i) a = 7, d … Read more