Question

Construct two circles of radii 3cm and 5cm, such that their centers are 12cm apart. Join their centers and construct the perpendicular bisector of the line segment thus obtained. Take a point M, 3.5cm away from the mid point of the line segment joining the two centres and lying on perpendicular bisector. From M, construct tangents to the bigger circle. Write steps of construction.





plzzz help soon!!!

Answer 1

Steps:
1. Draw a line segment AB of length 12 cm.
2.Taking A as centre draw a circle of radius 3 cm with the help of compass.
3.Again,Taking B as centre draw a circle of radius 5 cm with the help of compass.
To draw perpendicular bisector of AB:
(i)Place the compass at one end of line AB.Adjust the compass to slightly longer than half the length AB.
(ii)Draw arcs above and below the line from A.
(iii): Keeping the same compass width ,draw arcs from B intersecting the previously drawn arcs.
(iv): Place ruler where the arcs cross and draw the line.This line will be the perpendicular bisector of AB.
To draw tangent:
1. Draw a line connecting the point M and the centre of the circle (B)of radius 5 cm.
2.Construct the perpendicular bisector of line BM by following above steps.
3.Place the compass on the mid-point Eand adjust its length to reach the end point and draw an arc across the circle cutting it at P and Q.
4.Join MP  and MQ, which are the reqd. tangents to the circle. 

 

Answer 2

Answer:

Step-by-step explanation

1. draw a line segment AB of length 12cm
2. taking A as the centre draw a circle of radius 3 cm
3. now, taking B as the centre draw a circle of radius 5 cm
4. draw a perpendicular bisector to AB
5. in the perpendicular bisector mark a point M which is 3.5cm from the line segment AB
6. From point M draw tangents to the bigger circle