Mathematics Question answer collection & Notes page number 4

31. Find the discriminat of the quadratic equation 2x2 - 4x + 3 = 0 and hence find the nature of its roots. 2021 32. The-angle of elevation of the top of a tower from a point on did ground, which is 30 meters away from the foot of the lower, is 30°. Find the height of the tower. 2021 33. A kite is flying at a height of 60 meters above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination angle of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string 2021 34. A ladder is placed against a wall such that its foot is at a distance of 2.5 meters from the wall and its top reaches a window 6 meters above the ground. Find the length of the ladder. 2021 35. State Thales theorem and Pythagoras theorem. 2021 36. Find the area of the shaded region in given figure, where ABCD is a square of side 14 cm. 2021 37. Find the area of the shaded region in given figure if radii of the two concentric circles with centre Q are 7 cm and 14 cm respectively and ∠AOC = 40°. 2021 38. How many two digit numbers are divisible by 3 ? Find. 2021 39. Find the 31st term of an A.P. whoso 11th term is 38 and the 16th term is 73. 2021 40. Prove that : √((1+sin⁡A)/(1-sin⁡A ))=sec⁡〖A+tan⁡A 〗 2021