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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
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
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All about fractions
what''s the beneit of study mathematics ?
For a population with a mean of μ=70 and a standard deviation of o=20, how much error, on average, would you expect between the sample mean (M) and the population mean for each of
The length of the sides of a triangle are 2x + y/2 , 5 x/3 + y + 1/2 and 2/3 x + 2y + 5/2. If the triangle is equilateral. Find its perimeter. A ns: 2x + y/2 = 4x + y
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