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If the lines represented by 5x2 – 3xy + ky2 = 0 are perpendicular to each other, find the value of k. -

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Question

If the lines represented by 5x2 – 3xy + ky2 = 0 are perpendicular to each other, find the value of k.

Sum

Solution

Here a = 5,

b = k

For perpendicular lines

a + b = 0

∴ 5 + k = 0

∴ k = – 5

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Angle between lines represented by ax2 + 2hxy + by2 = 0
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