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Question

For any quadratic equation y=ax2+bx+c, if a>0 & D=0, then y<0

A
xR
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B
xR+
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C
xϕ
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Solution

The correct option is C xϕ
Given quadratic equation: y=ax2+bx+c;a>0 & D=0
Now, a>0 means the graph is an upward opening parabola.
and D=0 means the equation has only one root.
We can visualize the following as the graph shown as:

y0 xR
y<0 xϕ

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Graphs of Quadratic Equation for different values of D when a>0
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