Home
Class 10
MATHS
The graph of a quadratic polynomial y=ax...

The graph of a quadratic polynomial `y=ax^(2)+bx+c,a,b,c in R` is as shown.

Which one of the is NOT correct ?

A

`b^(2)-4aclt0`

B

`(c)/(a)lt0`

C

c is negative

D

abscissa corresponding to the vertex is `((-b)/(2a))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 3)|43 Videos

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos

  • RATIONAL EXPRESSIONS

    CENGAGE|Exercise Olympiad and ntse level exercises |10 Videos

Similar Questions

Explore conceptually related problems

The graph of the quadratic polynomial y=ax^(2)+bx+c is as shown in the figure.Then

The graph of quadratic polynomical f (x) =ax ^(2) +bx +c is shown below

The graph of a quadratic polynomial ax^(2)+bx+c=y(a,b,c,in R,a!=0) then the incorrect statement is

Consider the graph of quadratic polynomial y=ax^(2)+bx+c as shown below.Which of the following is/are correct?

The graph of a quadratic polynomial y= ax^2+ bx +c (a, b, c in R) with vertex on yaxis is as shownin the figure. Then which one of the following statement is CORRECT?(A) Product the roots the corresponding quadratic equation is positive.Aof of(B) Discriminant of the quadratic equation is negative.(C) Nothing can be the sum of the roots, whether positive, negative or zero.definite said about(D) Both roots of the quadratic equation are purely imaginary.

Graph of quadratic expression y=ax^(2)+bx+c is given then

The graph of a the quadratic polymomial y =ax^(2)+bx+c is shown in adjacent figure. Which of the following quantities is/are positive? (A)b e (t)c a d T quadratie polynomial y ax+ ba tc isas shown in (B) be (D) 4b2

If the zeroes of the quadratic polynomial ax^(2)+bx+c,cne0 are equal,then

If graph of the quadratic y = ax ^(2)+bx+c is given below : then:

CENGAGE-QUADRATIC EQUATIONS -TEST YOURSELF (Multiple Choice Questions)
  1. If p(x)=ax^(2)+bx+c and Q(x)=-ax^(2)+dx+c, where ac!=0, then P(x)xxQ(x...

    Text Solution

    |

  2. If roots of the equation (q-r)x^(2)+(r-p)x+(p-q)=0 are equal, then p,q...

    Text Solution

    |

  3. If 3p^(2)=5p+2 and 3q^(2)=5q+2 where p!=q, then pq is equal to

    Text Solution

    |

  4. If alpha and beta are the roots of the quadratic equation x^(2)+bx-c=0...

    Text Solution

    |

  5. Let p,q in {1,2,3,4}. The number of equations of the form px^(2)+qx+1=...

    Text Solution

    |

  6. Find the number of rational roots of the equation (x+2)(x+3)(x+8)(x+12...

    Text Solution

    |

  7. Solutions of the equation (6-x)^(4)+(8^(4)-x)^(4)=16 are

    Text Solution

    |

  8. Solution of the equation sqrt(2x^(2)+5x-2)-sqrt(2x^(2)+5x-9)=1 are

    Text Solution

    |

  9. Solutions of the equation 64xx9^(x)-84xx12^(x)+27xx16^(x)=0 are

    Text Solution

    |

  10. Let alpha,beta be the roots of the equation x^(2)-x+p=0 and gamma,de...

    Text Solution

    |

  11. If alpha,beta are the roots of the equation x^(2)-3x+5=0 and gamma,d...

    Text Solution

    |

  12. If cos^(4)theta+p,sin^(4)theta+p are the roots at the equation x^(2)+a...

    Text Solution

    |

  13. If alpha and beta roots of the equation x^(2)-p(x+1)-c=0 hen (alpha^(2...

    Text Solution

    |

  14. The quadratic equation, product of whose roots x(1) and x(2) is equal ...

    Text Solution

    |

  15. If one root of the equation x^(2)-dx+12=0 is even prime, while x^(2)+d...

    Text Solution

    |

  16. The graph of a quadratic polynomial y=ax^(2)+bx+c,a,b,c in R is as sho...

    Text Solution

    |

  17. If x+1/x=5 then x^(3)-5x^(2)+x+(1)/(x^(3))-(5)/(x^(2))+1/x=

    Text Solution

    |

  18. If (a^(2)-1)x^(2)+(a-1)x+(a^(2)-4a+3)=0 is an identity in x, then the ...

    Text Solution

    |

  19. If alpha and beta are the roots of ax^(2)+bx+c=0, then which of the fo...

    Text Solution

    |

  20. The equation for x:3sqrt(2x-1)+3sqrt(x-1)=1 is

    Text Solution

    |