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AP EAMCET · Maths · Straight Lines

Find the equation of a line which passes through 2cos3θ,2sin3θ and is perpendicular to the line xcosθ-ysinθ=2cos2θ.

  1. A xsecθ+ycosecθ=2
  2. B xcosecθ+ysecθ=2
  3. C xsinθ+ycosθ=2
  4. D xcosθ+ysinθ=2
Verified Solution

Answer & Solution

Correct Answer

(A) xsecθ+ycosecθ=2

Step-by-step Solution

Detailed explanation

Given line is xcosθ-ysinθ=2cos2θ ....1 ∴ Slope of line 1 is cosθsinθ Slope of line perpendicular to line 1 is -sinθcosθ [∵ If m1& m2 are slope of perpendicular lines then m1.m2=-1] Equation of line passing through…