Mathematics Question answer collection & Notes page number 5

41. Prove that : (sin A+ cosec A)2 + (cos A+ sec A)2 = 7 + tan2 A+ cot2 A 2021 42. Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. 2021 43. Draw a circle of radius 3 cm. From a point 5 cm away from its centre, construct the pair of tangents to the circle. 2021 44. Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively, are melted to form a single solid sphere. Find of the resulting sphere. 2021 45. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. 2021 46. The following data give the information on the observed life times in hours) of electrical components : 2021 47. The table below shows the daily expenditure on food of 25 households in a locality: 2021 48. Choose the correct option and write it : HCF of (91, 21) is - (a) 91 (b) 21 (c) 13 (d) 12 2022 49. Fill in the blanks : (i) HCF (a, b) x LCM (a, b) = __________ (ii) In the equation x + y = 8 if x = 3 then y = ________ 2022 50. Match the correct column : (i) sec (90°– θ) (a) 1 2022