If a, ß are zeroes of f(x) = kx2 - 2x + 3k
such that a + b = aß, then k =
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Answer:
a and b are zeroes,
From the equation we can say: Sum of zeroes = -ve co.eff. of x / co.eff. of x^2
Sum of zeros = - ( - 2 )/k
a + b = 2/k
Product of zeroes = constant term/co.eff. of x^2
ab = 3k / k
ab = 3
According to question:
= > a + b = ab
= > 2/k = 3
= > 2/3 = k
Therefore the value of k is 2/3
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