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AP EAMCET · Maths · Straight Lines

A line passing through P2,3 and making an angle of 30° with the positive direction of x-axis meets x2-2xy-y2=0 at A and B. Then the value of PA.PB is

  1. A 173+1
  2. B 173+1
  3. C 173-1
  4. D 173-1
Verified Solution

Answer & Solution

Correct Answer

(B) 173+1

Step-by-step Solution

Detailed explanation

Given, Equation of the line through P2,3 is So parametric equation of line is given by, x-2cosθ=y-3sinθ=r  where θ=30° Now if PA=r1, PB=r2 then r1,r2 are the roots of the equation x2-2xy-y2=0…