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English ki Pathshala Mein seekhein kuch Interesting..!!

An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax having its focus at S. If chord AB lies towards the left of S, then the side length of this triangle is 2a(2-sqrt(3)) (b) 4a(2-sqrt(3))a(2-sqrt(3))(d)8a(2-sqrt(3))

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces (numbered 1 to 6 ) and let E_(k)={(a,b)in S:ab=k} for k>=1 If p_(k)=p(E_(k)) for k>=1 then correct among the following,is (Eamcet 2008)