Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines are
1) 3
2) 1
3) 0
4) 4

• ans is d)4
  for every circle having a incenter which is in equidistant to all points
  and for every intersection extends means we can get 3 excircle all these circle mid point is equidistant to all other point
  so totally 1+3=4 points
• 14 years agoHelpfull: Yes(31) No(6)
• ans-d)4. because one incentre of triangle is always equidistant from all three sides of triangle. and then 3 excentres will be equidistant from all three lines(not from sides of triangle but from lines if extended and that is given).It will be clear from this fig.as excircle which is touching 3 tangents will have same radius. for fig follow link
  http://www.askiitians.com/onlinetest/studymaterial_images/2125_Centroid%20incentre%20and%20circum%20centre%203.JPG
• 12 years agoHelpfull: Yes(18) No(2)
• only 1 point which is Incentre of triangle.
• 14 years agoHelpfull: Yes(17) No(11)
• here ans will be 4 because in question it is given as 3 lines. But in case of 3line segment ans will b 1.
• 13 years agoHelpfull: Yes(10) No(0)
• In every triangle Incenter has same distance from the sides of the triangle......So and is One
• 14 years agoHelpfull: Yes(5) No(7)
• only 1
• 14 years agoHelpfull: Yes(3) No(15)
• i m confused... plz help me?? what is the ans 0 or 1??
• 14 years agoHelpfull: Yes(3) No(4)
• 1
• 14 years agoHelpfull: Yes(2) No(9)
• It is Zero
• 14 years agoHelpfull: Yes(1) No(23)
• its confusing plzz explian.
  
• 12 years agoHelpfull: Yes(1) No(3)
• what is ex centre??
  can any 1 say
• 12 years agoHelpfull: Yes(1) No(2)
• a triangle consists of 3 ex-circles and 1 incircle. so ans is 4
• 11 years agoHelpfull: Yes(1) No(0)
• Ans: 0
• 14 years agoHelpfull: Yes(0) No(18)
• 0 because eqilateral triangle only have equidistant to its center.
• 14 years agoHelpfull: Yes(0) No(13)
• We are asked to find the number of points EQUIDISTANT FROM ALL THE THREE SIDES. So the answer will be only one.
• 9 years agoHelpfull: Yes(0) No(0)