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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Locus of the intersection of the two straight lines passing through (1,0) and (-1,0) respectively and including an angle of 45^ can be a circle with

Options

  1. ACentre (1,0) and radius 2 .
  2. BCentre (1, 0) and radius 2.
  3. CCentre (0,1) and radius 2 .
  4. DCentre (0,-1) and radius 2 .

Correct answer

D. Centre (0,-1) and radius 2 .

Step-by-step solution

m ₁= k h -1 ; m ₂= k h +1 45^ = | k h -1 - k h +1 1+ k ^2 ~h ^2-1 |= | k ( h +1- h +1) h ^2-1+ k ^2 |h^2+k^2-1= 2 k locus is x^2+y^2 2 y-1=0x^2+(y 1)^2=( 2 )^2 (0,1) or (0,-1) and radius = 2

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