Q. 15

# The graph of the polynomial f(x) = ax2 + box + c is as shown in Fig. 2.20. Write the value of b2 – 4ac and the number of real zeros of f (x). b2 – 4ac = 0, Two

The given quadratic equation touches the x-axis at only one point.

The root of the quadratic equation is equal and real because if the quadratic equation has two distinct roots, then the graph touches the x-axis at two points.

As we know that the roots are real and equal if the value of discriminant is zero,

So,

b2 – 4ac = 0

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Champ Quiz |Revealing the relation Between Zero and Coefficients38 mins  Relation Between zeroes and Coefficients46 mins  Relationship between Zeroes and Coefficients-152 mins  Quiz - Division Algorithm38 mins  Interactive Quiz:Polynomials43 mins  Division Algorithm-130 mins  Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins  Solving Imp. Qs. of Olympiad on Polynomials47 mins  Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins  Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 