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Q.

The graph of $y = - 2 x^{2} + 9 x + 1$

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a

touches the X-axis and lies entirely below the X-axis

b

intersects the X-axis in two distinct points

c

touches the X-axis and lies entirely above the X-axis

d

lies entirely above the X-axis.

answer is C.

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Detailed Solution

$y = - 2 x^{2} + 9 x + 1$

$a = - 2, Δ = b^{2} - 4 a c$ $= 81 + 8$

$a < 0, Δ > 0$

So, the graph intersects x-axis in two distinct points

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