**ROOTS LIE IN AN INTERVAL**

Here basically we will discuss different necessary and sufficient conditions we should impose on a quadratic equation ax^{2} + bx + c = 0 such that roots of the given equation lies in a

*Illustrations on Roots in an Interval*

*Illustration -: For the quadratic equation x ^{2} – (m – 3)x + m = 0, find the value of m for which *

* (i) one root is smaller than 2 and the other is greater than 2*

*(ii) both roots are grater than 2*

* (iii) both roots lie in (1, 2)*

*(iv) exactly one root lie in (1, 2)*

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CBSE Class 11 Maths Quadratic Equations All Topic Notes CBSE Class 11 Maths All Chapters Notes