Graph of the quadratic equation a x2-b x-c-0- with a0 is

The correct option is A In the equation ax2 + bx + c = 0 , a is the coefficient of x2. D is disriminant b2 – 4 ac. The value of coefficient of x2 decides wheth ...

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Standard X

Mathematics

Graphical Representation of Quadratic Equation

Graph of the ...

Question

Graph of the quadratic equation ax² + bx + c = 0 , with a < 0 , D > 0 is

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Solution

The correct option is C
In the equation ax² + bx + c = 0 , a is the coefficient of x². D is disriminant b²– 4 ac. The value of coefficient of x² decides whether the graph opens upwards or downwards. The value of discriminant decides the no. of roots of the quadratic equation. D > 0 implies two distinct roots, that is, two separate points of intersection of the curve with the x-axis.

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Similar questions

Graph of the quadratic equation ax² + bx + c = 0 , with a < 0 , D = 0 is

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Graph of the quadratic equation ax2 + bx + c = 0 , with a < 0 , D > 0 is

Graph of the quadratic equation ax² + bx + c = 0 , with a < 0 , D > 0 is