If x1 = a, y1 = b and xi’s Form An A.P. With Common Different 2 Andyi’s Form An A.P. With Common Different 4, Then Find The Coordinates OfG, The Centroid.

Area of Δ formed by line x + y = 3 and  bisectors of pair of straight lines x² – y² +2y = 1is

The equation of the straight line which passes through the point (1, –2) and cuts off equal intercepts from the axes will be

The three lines 3x + 4y + 6 = 0,  and 4x + 7y + 8 = 0 are

The line (p + 2q)x + (p – 3q)y = p – q for different values of p and qpasses through the point

The locus of the mid-point of te portion intercepted between the axes by the line  where p is constant is

The straight line passing through the point of intersection of the straight lines x – 3y + 1 = 0 and 2x + 5y – 9 = 0 and having infinite slope and at a distance 2 unit from the origin has the equation

shifting of origin (0, 0) to (h, k)

                  Rotation of axes through an angle θ.

1:- by rotating the axes through an angle θ the equation xy – y² – 3y + 4 = 0 is transformed to the from which does not contain the term of xy then  ….

Axes are rotating through a +ive obtuse angle θ so that the transformed equation of the curve 3x² – 6xy + 3y² + 7x – 3 = 0 is free from the term of xy then the coefficient of x² in the transformed equation is…

 A₁(x₁, y₁), A₂(x₂, y₂), A₃(x₃, y₃), …. are n points in a plane such that

1:- A₁ A₂ is at G₁, G₂, A₃ is divided in the ratio 1 : 2 at G₂, G₃, A₄ is divided in the ratio 1 : 3 at G₃. The process is continued unit all n points are exhausted, then find the coordinates of the final point G_n

if x₁ = 1, y₁ = 2 and x_i’s form a G.P. with common ratio 2 and y_i’s form a G.P. with common ratio 3, then find the coordinates of G.