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If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??
Ans) As they are of form (x,1/x)
let eq of circle be x2+y2+2gx+2fy+c=0
it passes by general pt (x,1/x)
Substituting we get 4th degree in x
a,b,c,d are roots of it
by theory of equations it is constant term/coefficient of x2
then it comes to be 1
9x-5x+2 and y=4x+12
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FORMULAS DERIVATION
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two consecutive integers sum to 39, what they?
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