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

51)If A, B, C, D are angles of a cyclic quadrilateral, then sin A + sin B – sin C -sin D =

52)cos 201° cos 202° cos 203° ………..cos 300° =

53)If a cosθ+ b sinθ = p, a sinθ – b cosθ = q, then

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A) a² + b² = p² + q²
Explanation:a cosθ + b sinθ = p a sinθ – b cosθ = q (1)² + (2)² a²cos2θ + b²sin²θ + 2ab sinθ cosθ = p² = p² + q^{2 a2 (1) + b2 (1) = p2 + q2 a2 + b2 = p2 + q2}

54)1 radian =

55)△ABC ~△ XYZ; ∠C= 60°; ∠B = 75°, then ∠Z =_______________.

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D) 60°
Explanation:△ABC-△XYZ, ∠C = 60°, ∠B = 75° ∠A+∠B+∠C = 180° ∠A + 135° = 180° ∠A = 180° – 135° ∠A = 45° ∠C = ∠Z = 60°

56)In △ABC; BC² + AB² = AC², then _________ is the right angle

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A) B
Explanation:BC²+AB² = AC² ∠B = 90°

57)Angle in a major segment is

58)Angle between the tangent, and radius drawn through the point of contact is

59)The ratio of the corresponding sides of two similar triangles is 5 : 3, then the ratio their areas

60)A line which intersects the given circle at two distinct points is called