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Q.


Find the smallest solution in positive integers of

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a

(15, 4)

b

(17, 3)

c

(13, 2)

d

(16, 5) 

answer is A.

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Detailed Solution

x2-1=14y2 Now checking by putting y=1,2,3untill we get solution
y=1;x2=15not possible
y=2;x2=57not possible
y=3;=>x2=127not possible
y=4;x2=225x=15 Hence, smallest solution is (x,y)=(15,4).
Correct option is 1.
 
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