If 1 ( , ) where , are roots of x^2 - a(x + 1) + 3 = 0 then

JEE Advanced Mathematics question

If where are roots of then

Answer: (A)

Let (leading coefficient ). The number 1 lies strictly between the roots iff :

f(1) = 1 - a - a + 3 = 4 - 2a < 0 a > 2.

(This condition automatically makes the roots real and distinct.) Equivalently,

Create a free account to read the complete working (4 steps), and practise questions like this in a timed test.

Question ID VK-110012