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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

A line with positive rational slope, which passes through the point (6,0) and at a distance of 5 units from the point (1,3) is equal to p q (where p, q are co-prime), then find the value of (p+q) .

Correct answer

23

Step-by-step solution

array rlrl y & =m(x-6) m x-y-6 m & =0 | 5 m+3 1+m^2 |=5 (5 m+3)^2 & =25+25 m^2 9+30 m=25 & p q & 8 15 & p+q & =23 array

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