Question

25. From an external point P, a tangent PT and a line segment PAB is
drawn to a circle with centre O. ON is perpendicular on the chord AB.
Prove that
(1) PA PB = PN? - AN2
(i) PN2 - ANP = OP2 - OT?
(im) PA PB = PT​

Answer 1

Answer:

In Fig. 9.15, from an external point P, a tangent PT and a line segment PAB is drawn to a circle with centre O. ON is perpendicular on the chord AB. Prove that : (i) PA . PB = PN2 – AN2 (ii) PN2 – AN2 = OP2 – OT2 (iii) PA.PB

fig-from-an-external-point-tangent-pt-and-line-segment-pab-is-drawn-to-circle-with-centre