Home
Class 10
MATHS
Which of the following is not the graph ...

Which of the following is not the graph of a quadratic polynomial?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

For any quadratic polynomial `ax^(2) +bx +c, a ne 0`, the graph of the Corresponding equation `y = ax^(2) +bx +c` has one of the two shapes either open upwards like `uu` or open downwards like `uu` depending on whether `a gt 0` or `a lt `. These curves are called parabolas. so, option (d) cannot be possible. Also, the curve of a quadratic polynomial crosses the X-axis on at most two points but in option (d) the curve crosses the X-axis on the three points, so it does not represent the quadratic polynomial.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR|Exercise Exercise 3.3 Short Answer Type Questions|2 Videos
  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR|Exercise Quadratic Equations|51 Videos

Similar Questions

Explore conceptually related problems

graphs OF quadratic polynomial

Sign of a quadratic polynomial

Knowledge Check

  • Which of the following ig not a graph of a quadratic equation?

    A
    only (iii)
    B
    (i) and (iii)
    C
    (ii) and (iv)
    D
    only (iv)
  • If a,b,c in R, then for which of the following graphs of the quadratic polynomial y = ax ^(2) -2bx+ c (a ne 0), the product (abc) is negative ?

    A
    B
    C
    D
  • Similar Questions

    Explore conceptually related problems

    Graph of Quadratic Polynomial

    Range of Quadratic polynomial

    Sign of a Quadratic Polynomial

    which one of the following can best represent the graph of quadratic polynomial y=ax^(2)+bx+c (where a 0)?

    Range of Quadratic Polynomial

    Vertex of a Quadratic Polynomial