If The Coordinates Of An are (n, N2) And The Ordinate Of The Center Of Mean Position Of The Points A1, A2, … An is 46, Then n is Equal To

Find the locus of a point whose co – ordinate are given by x = t + t², y = 2t + 1, where t is variable.

The points (a, b + c), (b, c + a) and (c, a + b) are

O(0, 0), P(–2, –2) and Q(1, –2) are the vertices of a triangle, R is a point on PQ such that PR : RQ 

If three vertices of a rectangular are (0, 0), (a, 0) and (0, b), length of each diagonal is 5 and the perimeter 14, then the area of the rectangle is

If the line joining the points A(a², 1) and B(b², 1) is divides in the ratio b : a at the pint P whose x-coordinate is 7, their

If two vertices of a triangle are (3, –5) and (–7, 8) and centroid lies at the pint (–1, 1), third vertex of the triangle is at the point (a, b) then

α is root of the equation x² – 5x + 6 = 0 and β is a root of the equation x²– x – 30 = 0, then coordinates  of the point P farthest from the origin are

 are two points whose mid-point is at the origin.  is a point on the plane whose distance from the origin is

Locus of the point P(2t² + 2, 4t + 3), where t is a variable is

Area of the triangle with vertices A(3, 7), B(–5, 2) and C(2, 5) is denoted by Δ. If Δ_A, Δ_B, Δ_C denote the areas of the triangle with vertices OBC, AOC and ABO respectively, O being the origin, then