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

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.

Correct Answer: ii, iv, iii, i
Since the circles have same radius. The only two internal tangents will intersect at midpoint of line joining the centers. So we first found the center and then point of intersection of tangent and circle then from that point to next point it is drawn a arc midpoint as center and join the points gave us tangent.

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 draw a perpendicular to a line at a point within the line when the point is near the centre of line. Arrange the steps. Let AB be the line and P be the point in it i. Join F and P which is perpendicular to AB. ii. Now C as centre take the same radius and cut the arc at D and again D as centre with same radius cut the arc further at E. iii. With centre as P take any radius and draw an arc (more than a semicircle) cuts AB at C. iv. Now D, E as centre take radius (more than half of DE) draw arcs which cut at F.

Given are the steps to draw a tangent to given arc even if center is unknown and the point P lies on it. Arrange the steps. Let AB be the arc. i. Draw EF, the bisector of the arc CD. It will pass through P. ii. RS is the required tangent. iii. With P as center and any radius draw arcs cutting arc AB at C and D. iv. Draw a perpendicular RS to EF through P.

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

Given are the steps to draw a tangent to given circle and parallel to given line. Arrange the steps. i. Draw a perpendicular to given line and extend to cut the circle at two points P and Q. ii. At P or Q draw perpendicular to normal then we get the tangents. iii. PQ is the normal for required tangent. iv. Draw a circle with center O and line AB as required.

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.

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 draw a perpendicular to a line from a point outside the line, when the point is near the centre of line. Arrange the steps. Let AB be the line and P be the point outside the line i. The line EP is perpendicular to AB ii. From P take convenient radius and draw arcs which cut AB at two places, say C, D. iii. Join E and P. iv. Now from centers C, D draw arc with radius (more than half of CD), which cut each other at E.

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.

Steps are given to find the normal and tangent for a cycloid. Arrange the steps if C is the centre for generating circle and PA is the directing line. N is the point on cycloid. i. Through M, draw a line MO perpendicular to the directing line PA and cutting at O. ii. With centre N and radius equal to radius of generating circle, draw an arc cutting locus of C at M. iii. Draw a perpendicular to ON at N which is tangent. iv. Draw a line joining O and N which is normal.