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Solution - Angle Between Two Lines

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Question

Find the acute angle between the lines whose direction ratios are 5, 12, -13 and 3, - 4, 5.

Solution

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If the angle between the lines represented by ax2 + 2hxy + by2 = 0 is equal to the angle between the lines 2x2 - 5xy + 3y2 =0,

then show that 100(h2 - ab) = (a + b)2

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