Q. If α is the angle between the polar ray and the tangent at the point of commencement of a lemniscate curve, the equation of the curve, is

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Q. If Δ is the angle of deflection of the curve, T1 and T2 are its points of tangencies, the angle between the tangent at T1 and long chord T1 T2 will be

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Q. If d is the distance between equidistant odd ordinates, the Simpson's rule for the areas, is

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Q. To set out a parallel from a given inaccessible point to a given line AB, the following observations and made
Distance AB and angle PAM = a and angle PBA = b are measured where M is a point on the line BA produced. The perpendicular to the desired parallel line from A and B are :

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Q. The distance between the point of intersection of an up grade + g1% and downgrade g2% and the highest point of the vertical curve of length L, is

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Q. If V is the speed of a locomotive in km per hour, g is the acceleration due to gravity, G is the distance between running faces of the rails and R is the radius of the circular curve, the required super elevation is

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Q. The ratio of the radius and apex distance of a curve deflecting through Δ°, is

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Q. α, β are the horizontal angles measured at the ends of a base line AB to a hill top whose angle of elevation from station A is θ°. The height of the hill top above the trunnion axis of the theodolite station, is

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Q. Correct distance obtained by an erroneous chain is:

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Q. If h is the difference in height between end points of a chain of length l, the required slope correction is

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Q. The conventional sign shown in below figure represents a

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Q. If L is the specified length of a tape, L1 its actual length and S the measured distance, then, the true distance is given by the formula,

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Q. Accidental or compensating errors of length L are proportional to

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Q. The following is the conventional sign of

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Q. If α and β be the elevations of two objects A and B respectively, θ be the angle observed by a sextant. The correct horizontal angle is

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Q. Following is a conventional sign of

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Q. If Δ is the angle of deflection of a simple curve of radius R, the length of the curve is :

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Q. The conventional sign shown in below figure represents a

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Q. If Δ is the angle of deflection of a simple curve of radius R, the distance between the mid-point of the curve and long chord, is

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Q. If F is the pull applied at the ends of tape in kg, l is the length of tape between end marks in metres, w is the weight of the tape in kg per metre run, then sag correction

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