CBSE Class 11 Maths Notes: Quadratic Equations – Finding Range of a Rational Expression in X

1.1       TO FIND THE RANGE OF A RATIONAL EXPRESSION IN X, WHERE X IS REAL

STEP 1: Put the given rational expression equal to y and form the quadratic equation in x.

STEP 2:   Find the discriminant D of the quadratic equation obtained in step 1.

STEP 3: Since x is real, therefore, put D ≥ 0. We get an inequation in y.

STEP 4: Solve the above inequation for y. The range of y so obtained determines the range attained by the given rational expression.

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