Find the angle between the straight lines represented by 2x + 5xy + 2y2 - 5x - 7y + 3=0
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Given equation is 2x2 + 5xy + 2y2 + 6x + 7y + 4 = 0 Writing the equation (1) as a quadratic equation in x we have 2x2 + (5y + 6) x + 3y2 + 7y + 4 = 0 or 4x + 4y + 4 = 0 and 4x + 6y + 8 = 0 or x + y + 1 = 0 and 2x + 3y + 4 = 0 Hence equation (1) represents a pair of straight lines whose equation are x + y + 1 = 0(1) and 2x + 3y + 4 = 0
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Answer:
cos^-1(4/5)
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