Statement 1: If the sum of algebraic distances from point `A(1,1),B(2,3),C(0,2)` is zero on the line `a x+b y+c=0,` then `a+3b+c=0` Statement 2: The centroid of the triangle is (1, 2)

Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(6,1) is zero on the line ax+by+c = 0 then 2a+3b + c = 0 , Statement II The centroid of the triangle is (3,2)

The algebraic sum of the perpendicular distances from the points A(-2,0),B(0,2) and C(1,1) to a variable line be zero,then all such lines

If the distance from the point (-1,1) to the straight line 3x-4y+c=0 is (2/5) ,then the sum of possible values of c is

L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1) b. (2,1) c. (1,2) d. none of these

The algebraic sum of distances of the line ax + by + 2 = 0 from (1,2), (2,1) and (3,5) is zero and the lines bx - ay + 4 = 0 and 3x + 4y + 5=0 cut the coordinate axes at concyclic points. Then (a) a+b=-2/7 (b) area of triangle formed by the line ax+by+2=0 with coordinate axes is 14/5 (c) line ax+by+3=0 always passes through the point (-1,1) (d) max {a,b}=5/7

Let the algebraic sum of the perpendicular distances from the points (2,0),(0,2) and (1,1) to a variable straight line be zero.Then the line pass through a fixed point whose coordinates are (1,1) b.(2,2) c.(3,3) d.(4,4)

If the algebraic sum of the distances of a variable line from the points (2,0),(0,2), and (-2,-2) is zero,then the line passes through the fixed point.(a) (-1,-1)(b)(0,0)(c)(1,1)(d)(2,2)

If (1,1,a) is the centroid of the triangle formed by the points (1,2,-3),(b,0,1) and (-1,1,-4) then a-b=

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

The algebraic sum of the perpendicular distances from A(x_(1),y_(1)),B(x_(2),y_(2)) and C(x_(3),y_(3)) to a variable line is zero.Then the line passes through (A) the orthocentre of /_ABC(B) centroid of /_ABC(C) incentre of /_ABC(D) circumcentre of /_ABC