Question

1. List the the theorems with statements and criterion
applied in the given examples 1, 2 and 3.
2. From a point Q, the length of the tangent to a circle is
24cm and the distance of Q from the centre is 25 cm. The
radius of the circle is-
a) 7 cm
(b) 12 cm
(c) 24.5 cm
(d) 15 cm
3. Prove that the tangents drawn at the end points of a
diameter of a circle are parallel. (see the figure).​

Answer 1

Answer:

let radius be x

point of contact makes 90°

given distance of Q from the centre is 25(hyp)

length of the tangent to a circle is 24cm

by pythogoras thm we can

25²=24²+x²

625-576=x²

49=x²

√49=x

7=x

if tangents are drawn to end pts of the diametre then they will be parallel because both make point of contact as 90° and if sum of co-interior angles is 180°(=90°+90° from fig.) then lines are parallel