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Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown. What is the ratio of the areas of unshaded regions of case M to that of case N?
Two poles X and Y stand 3√2 m apart, such that the angle of elevation of the top of pole X as observed from the foot of pole Y is 30° and the angle of elevation of the top of pole Y as observed from the top of pole X is 60°. What is the angle of elevation of the top of pole Y from the foot of pole X?
An 80√3 m long electric pole is standing in a park. Another pole is to be placed in the park, such that the top of first pole makes an angle of 30° with the top of second pole and an angle of 45° with the foot of second pole. What is the height of second pole? [Use √3 = 1.732]
A pole on the ground leans at 60° with the vertical. At a point x metre away from the base of the pole on the ground, two halves of the pole subtend the same angle. If the pole and the point are in the same vertical plane, then what is the length of the pole?
A 50 Hz, 4poles, a single phase induction motor is rotating in the clockwise direction at a speed of 1425 rpm. The slip of motor in the direction of rotation & opposite direction of the motor will be respectively.
A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer which was showing East, started showing South. One traveler went to wrong direction thinking to be West. In what direction actually he was traveling?
A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer which was showing East, started showing South. One traveler went to wrong direction thinking to be West. In what direction actually he was traveling?
Which of the following sentence is/are correct about crop rotation? 1. Crop rotation helps return nutrients to the soil without synthetic inputs. 2. Crop rotation is the pratice of planting different crop sequentially on the same plot of land to improve soil health. 3. Crop rotation deteriorates the soil structure as same nutrients are used time and time again.
The difference in the lengths of the shadows of a pole cast by the sun (at different times of a day) when the angles of elevation of the top of the pole measured from two points on the ground on the same side of the pole were 45° and 30° was given as \(10(\sqrt 3 - 1) m.\) How tall was the pole?
When the pole is on roadside and there is no space for stay, one pole is used as a support to the line pole from opposite side of the stay. This support pole is called