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Prove that the equartion 3y^(2)-8xy-3x^(...

Prove that the equartion `3y^(2)-8xy-3x^(2)-29x+3y-18=0` represents two straight lines. Find also their point of intersection and the angle between them.

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To prove that the equation \(3y^2 - 8xy - 3x^2 - 29x + 3y - 18 = 0\) represents two straight lines, we will use the condition for a quadratic equation in two variables to represent a pair of straight lines. ### Step 1: Identify the coefficients The general form of a conic section is given by: \[ Ax^2 + Bxy + Cy^2 + 2Dx + 2Ey + F = 0 \] For our equation, we can identify the coefficients as follows: ...
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