Home
Class 12
MATHS
For which of the following graphs the qu...

For which of the following graphs the quadratic expression `y=ax^(2)+bx+c` the product `abc` is negative ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

`:'Cut -off Y-axis, put `x=0` i.e. `f(0)=c`
Option (a) `alt0,clt0,-b/(2a)lt0`
or `alt0,clt0,blt0`
`:.abclt0`
Option b `alt0,cgt0,-b/2agt0`
or `alt0,cgt3,bgt0`
`:.abclt0`
Option c `agt0, cgt0, -b/(2a)gt0`
or `agt0,cgt0, blt0`
`:.abclt0`
Option (d) `alt0,clt0, -b/(2)lt0`
or `alt0,clt0,blt0`
`:.abclt0`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise SCQ_TYPE|1 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

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 ?

The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

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

The quadratic equation ax^(2)+bx+c=0 has real roots if:

which of the following graph represents the expression f(x) = ax^2 + bx + c (a!=0) when a>0,b<0 $ c<0 ?

If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :

Which of the following can be the correct expression for the graph of the quadratic shown above ?

The graph of a quadratic expression ax^(2)+bx+c is shown beside. Which of the following is correct?

Find the values of a, for which the quadratic expression ax^2 + (a - 2) x - 2 is negative for exactly two integral values of x .

The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 is positive for exactly two integral values of x is