two concentric circles are of radii 10cm and 8cm.RP and RQ are tangents to the two circles from R. If the length of RP is 24cm find the length of RQ.................Any1 plzzz answr dis ques fast
Let the circles have common centre O.
Let RP n RQbe d tangents to the larger n smaller circle respectively.
Join OP, OQ, OR.
By Pythagoras Theorem,
OR2= OP2+PR2
OR2= 102+242
OR2=100+576=676
OR=26
In right triangle OQR,
RQ2=OR2-OQ2
= 262-82
=676-64=612
RQ=sq. root 612= 6 root 17
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