# Tag Archives: NCERT Solutions Class-10

Question 1. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the… Read More
Chapter 9 Some Application of Trigonometry – Exercise 9.1 | Set 1 Question 11. A TV tower stands vertically on a bank of a canal.… Read More
Question 1. Evaluate the following :  (i) sin 60° cos 30° + sin 30° cos 60°  Solution: Formulas to be used : sin 30° =… Read More
Question 1. Express the trigonometric ratios sin A, sec A, and tan A in terms of cot A Solution: (i) sin A We know that… Read More
NCERT Theorem 1.5 : Let x be a rational number whose decimal expansion terminates. Then x can be expressed in the form,  where p and q… Read More
Theorem 10.1(NCERT) : The tangent at any point of a circle is perpendicular to the radius through the point of contact. Theorem 10.2 (NCERT) :… Read More
Question 1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and… Read More
Question 1. Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution: i)135… Read More
Question 1: Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 Solutions: (i) 140… Read More
Question 1. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x),… Read More
Question 1. Prove that √5 is irrational. Solution: Let √5 be a rational number. √5 = p/q be a rational number, where p and q… Read More
Question 1. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the… Read More
Question 1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and the… Read More
Question 1. A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following… Read More
Question 1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine : (i) sin A, cos A (ii) sin… Read More