Question

1.At any point on a circle

tangent is always ________to

the radius at the point of

contact.

2.Two concentric circles are

of radii 5 cm and 3 cm. Find

the length of the chord of the

larger circle which touches

the smaller circle..

3. If tangents PA and PB from

a point P to a circle with

centre O are inclined to each

other at angle of 80°, then

∠POA is equal to

(a) 50°(b) 60°(c) 70°(d) 80°​

Answer 1

Answer:

1. perpendicular

2. 10 cm

3. 50°

Answer 2

1) Perpendicular

2) 8 cm

AO is equal to 5, and BO is also equal to 5. Because the radius of larger circle is 5cm. Now, Applying Pythagoras theorem in both the triangles, we get :

5^2=AO^2+3^2 (OP=3cm).

25-9=AO^2

√16=AO

So, AO is 4cm.

Similarly, OB=4cm.

Therefore, adding AO and BO , we get :

AO+BO=4+4=8.

Therefore, AB chord is 8cm.

3) A)50°