IIT JEE 1982 Maths - 'Adapted' - FIB to Single-Digit Integer Q5

Geometry Level 2

The curve y = 1 0 x y =10^x is reflection of y = log ⁡ 10 x y=\log_{10}x in the line which contains the point ( 6 , p ) (6,\ p) and ( 2 , q ) (2,\ q) . Find ⌊ p ⌋ + ⌊ q ⌋ \lfloor p\rfloor + \lfloor q\rfloor .

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The answer is 8.

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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1 solution

Md Zuhair
Feb 2, 2017

The equations y = 1 0 x y= 10^x and y = l o g 10 x y = log_{10}x Now these are actually mirror image on y=x

So p = 6 and q=2

hence p+ q = 8

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