A straight line meet the axes in A and B such that the centroid of triangle `OAB` is `(a,a).` Then the equation of the line `AB` is (i) x+y=a (ii) x-y=3a (iii) x+y=2a (iv) x+y=3a

A straight line meets the coordinates axes at A and B, so that the centroid of the triangle OAB is (1, 2). Then the equation of the line AB is

A line meets x - axis at A and y-axis at B such that incentre of the triangle OAB is (1,1). Equation of AB is

A plane meets the coordinate axes at P, Q and R such that the centroid of the triangle is (3,3,3). The equation of he plane is (A) x+y+z=9 (B) x+y+z=1 (C) x+y+z=3 (D) 3x+3y+3z=1

A plane meets the coordinate axes at P, Q and R such that the centroid of the triangle is (3,3,3). The equation of he plane is (A) x+y+z=9 (B) x+y+z=1 (C) x+y+z=3 (D) 3x+3y+3z=1

A straight line (sqrt(3)-1)x=(sqrt(3)+1)y makes an angle 75^(@) with another straight line which passes through origin.Then the equation of the line is (i)x=0(ii)y=0(iii)x+y=0(iv)x-y=0

Consider the lines y=3x, y=6x and y=9 The centroid of the triangle is at which one of the following points ?

A line passes through P(1,2) such that the portion of the line intercepted between the axes is bisected at P. The equation of the line is (i) x+2y-5=0 (ii) x-y+1=0 (iii) x+y-3=0 (iv) 2x+y-4=0

A straight line 4x+3y=72 intersect the x and y axes at A and B respectively.Then Distance between the incentre and the orthocentre of the triangle AOB is