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If P and Q Are the Lengths of Perpendiculars from the Origin to the Lines X Cos θ – Y Sin θ = K Cos 2θ and X Sec θ+ Y Cosec θ = K, Respectively, Prove that P2 + 4q2 = K2 - Mathematics

If and are the lengths of perpendiculars from the origin to the lines cos θ – sin θ = cos 2θ and xsec θcosec θ = k, respectively, prove that p2 + 4q2 = k2

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Solution

The equations of given lines are

x cos θ – y sinθ = k cos 2θ … (1)

x secθ + y cosec θk … (2)

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 10 Straight Lines
Q 16 | Page 228
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