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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If the roots of the equation are and those of are then the positive value of is ( and being distinct numbers)

Answer: 1210

Solution

From the root–coefficient relations:

a + b = 10c, ab = -11d, c + d = 10a, cd = -11b.

So ; we need .

Since is a root of the first equation and of the second:

- 10ca - 11d = 0, - 10ac - 11b = 0.

Subtract: . From the sums, $b =

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Question ID VK-110533