Home
Class 11
MATHS
Let A B C be a triangle. Let A be the ...

Let `A B C` be a triangle. Let `A` be the point `(1,2),y=x` be the perpendicular bisector of `A B ,` and `x-2y+1=0` be the angle bisector of `/_C` . If the equation of `B C` is given by `a x+b y-5=0` , then the value of `a+b` is (a)`1 `(b) `2 `(c) ` 3` (d) `4`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Let ABC be a triangle and A -= (1,2) ,y = x be the perpendicular bisector of AB and x-2y+1=0 be the perpendicular bisector of angle C . If the equation of BC is given by ax+by-5 = 0 then the value of a -2b is

If the operation ^^ is defined by the equation x^^y=2x+y , what is the value of a in 2^^a=a^^3? (a) 0 (b) -1 (c) 1 (d) 4

Let A, B and C be the vertices of a triangle, equation of perpendicular bisectors of AB and AC are x-y +3 =0 and x+2y + 12=0 respectively If co-ordinates of A are (2,3), then equation of BC is

Let x , y be two variables and x >0, x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

The equation of the perpendicular bisector of the side AB of a triangle ABC is x-y+5=0 . If the point A is (1,2) , find the co-ordinates of the point B .

Let (a,b) be point on obtuse angle bisector of the lines x+2y+1=0 and 2x+y+1=0 then the least value of (a-1)^(2)+(b-2)^(2) is (A) (1)/(2) (B) (1)/(sqrt(2)) (C) 6/(5)

If 2x+3y=5 is the perpendicular bisector of the line segment joining the points A(1,(1)/(3)) and B then B=

Area of the triangle formd by the line x+y=3 and the angle bisector of the line pair x^(2)-y^(2)+4y-4=0 is : a.1/2 b.1 c.3/2d

Consider a triangle ABC with vertex A(2,-4). The internal bisectors of the angle B and C are x+y=2 and x-3y=6 respectively.Let the two bisectors meet at I .I . (a,b) is incentre of the triangle ABC then (a+b) has the value equal to