Pls anwer 1st one

Pls anwer 1st one to EXERCISE 11.2 ofthe following. give also the justification of the construction: L a circle ofradius6cm. From a point 10 cm away from its centre. consinxttbepair of tangents to the circle and measure their lengths, Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of 6 cm and measure its length. Also verify the measurement by actual calculation. J. thaw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two Pints P and Q, Draw a pair of tangents to a circle ofradius 5 cm which are other alan mglc of 600. S. Draw a line segment of length 8 an TakingA centre.&awacircleoftadiusacm and taking B as centre. draw another circle of radius 3 cm. Construct tangents (o each Circle from the centre oftbe ottrr circle.

A pair of tangents to the given circle can be constructed as follows.

Step 1

Taking any point O of the given plane as centre, draw a circle of 6 cm radius. Locate a point P, 10 cm away from O. Join OP.

Step 2

Bisect OP. Let M be the mid-point of PO.

Step 3

Taking M as centre and MO as radius, draw a circle.

Step 4

Let this circle intersect the previous circle at point Q and R.

Step 5

Join PQ and PR. PQ and PR are the required tangents.

The lengths of tangents PQ and PR are 8 cm each.