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A trapezium is formed by joining two parallel line segments of unequal length. The arrangement of both lines is such that the excessive length of the longer parallel line segment is equally distributed on both sides of the end point of shorter line segment. The non-parallel line segments are of equal length and the length of parallel line segments in 10 cm and 18 cm. What is the area of trapezium if the perimeter is 38cm?
In a resonance tube with tuning fork of frequency 512Hz, first resonance occurs at water level equal to 30.3cm and second resonance occurs at 63.7cm. The maximum possible error in the speed of sound is?
When an electric current coil of a wattmeter is connected to the electric current path R and the voltage coil is connected between the electric current R path and the neutral side of the balanced three phase supply, it shows 10 kW. The line voltage along the phase sequence RYB is 400 V. The current drawn by the current path is 54 A. What is the new reading of the wattmeter if the voltage coil is connected between the lines B and the Y paths, even if the electric current coil is continuously present in the line R?
The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?
In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?
In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?
Given are the steps to draw a parallel line to given line AB at a distance R. Arrange the steps. i. EF is the required parallel line. ii. From C, D with radius R, draw arcs on the same side of AB. iii. Take two points say C, D on AB as far as possible. iv. Draw a line EF which touches both the arc (tangents) at E, F.
Five ladies A, B, C, D, E are sitting in a line facing south. Five men L, M, N, O, P are sitting in a line parallel to above line facing north. i) A and L are diagonally opposite to each other. ii) M is at one end of line. iii) D is just to the left of E and is opposite to O. iv) P is just to the left of M and is opposite to B. v) E is opposite to N who is just right to L. Which man is sitting in the middle of his line?
Which of the following statement(s) given below is / are TRUE? A: If there is a line and a point not on the line, then there exists more than one lines though the point that is parallel to the given line. B: If a line is tangent to a circle, it is perpendicular to any chord of the circle drawn to the point of tangency. C: A straight line can be determined by more than two points.
Which of the following statements is/are correct?
1. A crossing of the International Date Line entails repeating one day when traveling westwards
2. A crossing of the International Date Line entails repeating one day when traveling eastwards
3. International Date Line is an internationally agreed line drawn parallel to the 180° meridian
4. International Date Line divides the Pacific Ocean into two equal parts.