SSC Government Jobs Exams Numerical Ability Geometry

let be and CF be the two medians of a triangle ABC and G be the intersection also let EF cut AG at O. then AO:OG is

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ABC is a right angled triangle , AD is perpendicular to the hypotenuse BC if AC = 2AB ,
then the value of BD is If tan (x) = 3/4 and 0 <(x)<90 then the value of sin(x).cos(x) is