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AP EAMCET · Maths · Pair of Lines

The area (in sq. units) of the triangle formed by the straight line x+y=3 and the angular bisectors of the pair of straight lines x2-y2+2y=1 is

  1. A 1
  2. B 2
  3. C 3
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(A) 1

Step-by-step Solution

Detailed explanation

Pair of straight line is x2-y2+2y=1 ⇒x2-y2+2y-1=0 ⇒x2-y-12=0 ⇒x-y+1x+y-1=0 Therefore, we get the separate equations of two straight lines l1:x-y+1=0  ...i l2:x+y-1=0  ...ii Now, point of intersection of line l1 and x+y=3 is A1,2. Now,…