Question

Q1.Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that angleAPB = 2 angleOAB.

Q2. In a circle of radius 17 cm , two parallel chords are drawn on opposide sides of diameter.The distance between two chords is 23 cm and length of one chord is 16 cm , then the lenth of the other chord is.....

Q3.Prove that in two concentric circles the chord of the larger circle which touches the smaller circle is bisected at the point of contact.

Answer 1

pa=pb
angle p=x
egergearn

Answer 2

Solution:
       Since one chord is 16 cm
                           the distance between the chord and the centre is 15cm
                       
                Therefore the distance between the centre and other chord is8cm
              Using Pythagoras theorem we get half of the chord is 15cm
        therefore the length of the other chord 30cm.