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Q.

 If the line y=x+2 does not intersect any member of the family of the parabola y2=axa+at two distinct points then the maximum possible integral value of  latus-ractum of the parabola is 

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a

7

b

8

c

12

d

6

answer is C.

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Detailed Solution

 Put y=x+2 in y2=ax we get (x+2)2-ax=0x2+(4-a)x+4=0

 By given data discriminant of the above equation 0

(4-a)2-4(4)0

a8

 Maximum possible integral value of latusrectum of the parabola is 8.

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