Get Advice on Live Video Call
Earn $ Cash $ with
consultations on Bissoy App

Given steps in procedure to find the center of gravity of the quadrilateral ABCD. Arrange the steps. i. Draw lines joining G1 with G2 and G3 with G4. ii. In given quadrilateral draw diagonal BD and locate centers of gravity G1, G2 of triangles BCD and ABD. iii. The point of intersection of lines G1G2 and G3G4 gives the center of gravity of the quadrilateral ABCD. iv. Similarly draw the diagonal AC and determine the centers of gravity G3, G4 of triangles ABC and ADC.

Correct Answer: ii, iv, i, iii
Given is irregular quadrilateral so first we have to make it to regular simpler shapes like triangle and the finding center of gravity for those and intersection of forces acting gives the center of gravity of whole.

Given steps in procedure to find the center of gravity of the trapezium ABCD. Arrange the steps. i. Join E and F which intersects the line PQ at G. G is center of gravity. ii. Similarly produce CD to a point F so that FD=AB. iii. Draw a line joining the midpoints P and Q of the parallel sides AB and DC respectively. iv. Produce AB to a point E so that BE=DC.

Given are the steps to draw a tangent to any given circle at any point P on it. Arrange the steps. i. Draw the given circle with center O and mark the point P anywhere on the circle. ii. With centers O and Q draw arcs with equal radius to cut each other at R. iii. Join R and P which is the required tangent. iv. Draw a line joining O and P. Extend the line to Q such that OP = PQ.

Given are the steps to construct regular polygon of any number of sides. Arrange the steps. i. Draw the perpendicular bisector of AB to cut the line AP in 4 and the arc AP in 6 ii. The midpoint of 4 and 6 gives 5 and extension of that line along the equidistant points 7, 8, etc gives the centers for different polygons with that number of sides and the radius is AN (N is from 4, 5, 6, 7, so on to N) iii. Join A and P. With center B and radius AB, draw the quadrant AP iv. Draw a line AB of given length. At B, draw a line BP perpendicular and equal to AB

Given are the steps to construct an equilateral triangle, with help of a compass, when the length of a side is given. Arrange the steps. i. Draw a line AB with given length ii. Draw lines joining C with A and B iii. ABC is required equilateral triangle iv. With centers A and B and radius equal to AB, draw arcs cutting each other at C

Steps given are to draw an involute of a given square ABCD. Arrange the steps. i. With B as centre and radius BP1 (BA+ AD) draw an arc to cut the line CB-produced at P2. ii. The curve thus obtained is the involute of the square. iii. With centre A and radius AD, draw an arc to cut the line BA-produced at a point P1. iv. Similarly, with centres C and D and radii CP2 and DP3 respectively, draw arcs to cut DC-produced at P3 and AD-produced at P4.

Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A.

Given are the steps to construct an equilateral triangle, with help of a compass, when the length of altitude is given. Arrange the steps. i. Draw a line AB of any length. At any point P on AB, draw a perpendicular PQ equal to altitude length given ii. Draw bisectors of CE and CF to intersect AB at R and T respectively.QRT is required triangle iii. With center Q and any radius, draw an arc intersecting PQ at C iv. With center C and the same radius, draw arcs cutting the 1st arc at E and F

Arrange the steps. These give procedure to draw internal tangent to two given circles of equal radii. i. Draw a line AB which is the required tangent. ii. Draw the given circles with centers O and P. iii. With center R and radius RA, draw an arc to intersect the other circle on the other circle on the other side of OP at B. iv. Bisect OP in R. Draw a semi circle with OR as diameter to cut the circle at A.

Steps given are to draw an involute of a given triangle ABC. Arrange the steps. i. With C as centre and radius C1 draw arc cutting AC-extended at 2. ii. With A as center and radius A2 draw an arc cutting BA- extended at 3 completing involute. iii. B as centre with radius AB draw an arc cutting the BC- extended at 1. iv. Draw the given triangle with corners A, B, C.

Steps are given to draw tangent and normal to the involute of a circle (center is C) at a point N on it. Arrange the steps. i. With CN as diameter describe a semi-circle cutting the circle at M. ii. Draw a line joining C and N. iii. Draw a line perpendicular to NM and passing through N which is tangent. iv. Draw a line through N and M. This line is normal.