In the figure, PA and PB are tangents from an external point P to a circle with centre O. LN touches the circle at M. Prove that PL + LM = PN + MN.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Join our whatsApp community. Get all experts solutions for maths problems.
In the figure, PA and PB are the tangents to the circle with centre O from a point P outside it LN touches it at M
To prove : PL + LM = PN + MN
Prove : PA and PB are tangents to the circle from P
PA = PB
Similarly from L, LA and LM are tangents
LA = LM
Similarly NB = NM
Now PA = PB => PL + LA = PN + NB
PL + LM = PN + NM