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Q.

Let p and q be the roots of the equation  x22x+A=0 and let r, s be the roots of the equation  x218x+B=0. If p < q < r < s are in the arithmetic progression then B = ______
 

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answer is 77.

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Detailed Solution

p + q = 2, pq = A
r + s = 18, rs = B and it is given that p, q, r, s are in A.P
p = a – 3d, q = a – d, r = a + d, s = a + 3d

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