Maths-
General
Easy

Question

The adjoining figure shows the graph of y = ax2 + bx + c. Then

  1. a < 0    
  2. b to the power of 2 end exponent less than 4 a c    
  3. c > 0    
  4. a and b are of opposite sign    

hintHint:

In the given question, the graph y = ax2 + bx + c cuts the x-axis twice and forms a local maxima in between the two roots of the equation.

The correct answer is: a < 0


    Step by step solution:
    The graph cuts the x-axis in two different places.
    rightwards double arrow D greater than space 0
    rightwards double arrowb squared minus 4 a c space greater than space 0
    rightwards double arrow b squared greater than 4 a c
    and since the graph is concave downwards, therefore, a less than 0.
    Hence, option(c) is the correct option.

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