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Nature of Roots

y = ax2 + bx ...

Question

$y = a x^{2} + b x + c$ if $a > 0$ and $b = c = 0$ then the resulting is passing through

A

Q_{1}, Q_{2}

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B

Q_{2}, Q_{3}

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C

Q_{3}, Q_{4}

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D

Q_{4}, Q_{1}

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Solution

The correct option is A $Q_{1}, Q_{2}$
Given, $y = a x^{2} + b x + c$ if $a > 0$ and $b = c = 0$ then the resulting curve is $y = a x^{2}$ with $a > 0$ .
Then this equation represents a parabola whose axis is positive half of $y$ axis and centre is at $(0, 0)$ and the curve passes through $1$ st and $2$ nd quadrants i.e. $Q_{1}$ and $Q_{2}$ .

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