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

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

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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 B
In the equation ax² + bx + c = 0 , a is the coefficient of x². D is the disriminant b²– 4 ac. The value of coefficient decides whether the graph opens upwards or downwards. The value of discriminant decides the no of roots of the quadratic equation. Since D = 0, the equation has two equal roots, i.e. the curve is supposed to cut the x-axis at just one point.

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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