Mathematics

Class 10 – Mathematics Surface Areas and Volumes – Exercise 13.1 Exercise 13.1 Question : 1: 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Answer : Given that,…

Class 10 – Mathematics Triangles – Exercise 6.5 Exercise 6.5 Question : 1:Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (i) 7 cm,…

Class 10 – Mathematics Areas Related To Circles – Exercise 12.3 Exercise 12.3 Question : 1:Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of…

Class 10 – Mathematics Areas Related To Circles – Exercise 12.2 Exercise 12.2 Question : 1:Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. Answer : Given, radius of…

Class 10 – Mathematics Areas Related To Circles – Exercise 12.1 Exercise 12.1 Question : 1:The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum…

Class 10 – Mathematics Constructions – Exercise 11.1 Exercise 11.1 Question : 1:Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts. Give the justification of the construction. Answer…

Class 10 – Mathematics Constructions – Exercise 11.2 Exercise 11.2 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 circle and measure their lengths.…

Class 10 – Mathematics Circles – Exercise 10.2 Exercise 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…

Class 10 – Mathematics Circles – Exercise 10.1 Exercise 10.1 Question : 1:How many tangents can a circle have? Answer : A circle can have infinite number of tangents because a circle can have infinite number of points on it…

Class 10 – Mathematics Introduction To Trigonometry – Exercise 8.4 Exercise 8.4 Question : 1:Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. Answer : (i) sin A = √(sin2 A) = √(1/coses2…

Class 10 – Mathematics Application To Trigonometry – Exercise 9.1 Exercise 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…

Class 10 – Mathematics Introduction To Trigonometry – Exercise 8.3 Exercise 8.3 Question : 1:Evaluate : (i) sin 18o/cos 72o            (ii) tan 26/cot 64o         (iii) cos 48o – sin 42o     (iv) cosec 31o – sec 59o Answer : (i) sin 18o/cos…