1.

In the following figure find \( x \).

Answer» Angle OAP =90 degree,A being point of contact Of the tangent AP

Hence by Pythagoras theorem

OP2=AP2+OA2

=>(x+1)2=(x-1)2 +x2

=>4x =x2

=>x=4

Hence x-1=3 and x+1=5


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