TS Polycet (Polytechnic) 2020 Previous Question Paper with Answers And Model Papers With Complete Analysis

41)If the slope of the line through (2, -7) and (x, 5) is 3, then x =__________

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C) 6
Explanation:Let A (2, -7), B (x, 5) Slope of the line passing through A (x₁,y₁), B (x₂,y₂) is AB= Given slope m = 3 3 = 3 = 12/x-2 => 3x-6 = 12 => 3x = 18 => x = 6

42)4, 7, 10,………….. are in A.P., then stun of 15 terms is _________

43)The point (2,-3) divides the line segment joining the points (-1, 3), (4; -7) in the ratio_______

44)If (8, 1), (k, —4), (2, -5) are collinear, then k= __________

45)If A = {a}, B = {a, b}, C = {a, b, c}, then A⋂B⋂C=

46)The mean of 17, 4, 8, 6 and 15 in m, the median of 8, 14,10, 5, 7, 5, 20, 19 and n is (m – 1). Then the values of m and n are

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B) m = 10, n = 9,
Explanation:Mean = m = = m M = 50/5 = 10 ∴ m = 10 Median (n) = m-1 N = 10-1 (∴ m = 10) ∴ n = 9 ∴ m = 10, n = 9

47)If A = 45°, B = 60°, then sin A + cos B =

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D)
Explanation:A = 45°, B = 60° sin A + cos B = sin 45° + cos 60° =

48)If A = π/4, then (1 + tan A) (1 + tan²A) (1 + tan³A) =

49)If the angle of elevation of the Sun is 60°, then the ratio of a tree with its shadow.

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C) √3 : 1
Explanation: In △ABC, Tan 60° = AB/AC √3 = h/x h/x = √3/1 h : x = √3 : 1

50)Which of the following formula is associated to cylinder?