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Pair of Lines

The curve y =...

Question

The curve y = ax³ + bx² + cx + 5 touches the x-axis at P(-2, 0) and cuts the y-axis at the point Q where its gradient is 3. the equation of the curve is... .

A

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B

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C

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D

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Solution

The correct option is D

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Similar questions

y = a x^{3} + b x^{2} + c x + 5

touches the x -axis at P(-2,0) and cuts the y-axis at the point Q, where its gradient is 3. Find the equation of the curve completely.

y = a x^{3} + b x^{2} + c x + 5

touches the x-axis at P(-2,0) and cuts the y-axis at a point Q where its gradient is 3. Find a, b, c.

y = a x^{3} + b x^{2} + c x + 8

x

P (- 2, 0)

y

-axis at a point

Q (0, 8)

where its gradient is 3. The values of

a

b

c

are respectively

y = a x^{3} + b x + 5

touches the x-axis at

P (- 2, 0)

and cuts y-axis at point

Q

where its gradient is

3.

a

b .

Also find coordinates of point

Q .

y = a x^{3} + b x^{2} + c x + 5

touches the x-axis at the point

(- 2, 0)

and cuts the y-axis at the point where its gradient is

3

. Find a, b and c.

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