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Definition of Ellipse

If the line y...

Question

{ If the line }y=\sqrt3x cut the curve }x^3+y^3+3xy+5x^2+3y^2+4x+5y-1=0 at the points }A,B,C,} then OA. OB. OC is equal to (where O is origin)

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O

y = \sqrt{3} x

x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{2} + 4 x + 5 y - 1 = 0

A, B

C

| O A | . | O B | . | O C |

y = \sqrt{3} x

x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{2} + 4 x + 5 y - 1 = 0

A, B, C

(where O is origin)

y = x \sqrt{3}

x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{2} + 4 x + 5 y - 1 = 0

A, B

C

O A . O B . O C

O

\sqrt{3} x

x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{2} + 4 x + 5 y - 1 = 0

y = \sqrt{3} x

x^{3} + y^{3} + 3 x y + 5 x^{2} + 3 y^{3} + 4 x + 5 y - 1 = 0

A, B, C

O A . O B . O C =

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