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Q.

Total number of lines of the form px+qy+r=0 (where pq0) that intersect the ellipse (x2)2+y2=50 at two integral points (points whose coordinates are Integers in equal to)

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a

54

b

50

c

63

d

45

answer is C.

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Detailed Solution

 yI
 y{7,6,...0,1,..6,7}
Total no. of integrals points 12
Total no. lines formed =12C2=66 
Total no. lines 6612=54 

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