List of top Mathematics Questions on Coordinate Geometry asked in Guru Gobind Singh Indraprastha University Common Entrance Test

A line segment with the end points A(3,−2) A(3,-2) and B(6,4) B(6,4) is divided into three equal parts. Find the coordinates of the division points.

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If A(2,3) A(2,3) and B(−2,1) B(-2,1) are two vertices of a triangle and the third vertex moves on the line 2x+3y=9 2x + 3y = 9 , then the locus of the centroid of the new set of observations will be the triangle is

The mid-point of the chord 2x+y−4=02x + y - 4 = 0 of the parabola y2=4xy^2 = 4x is
The equation of a straight line passing through the point of intersection of x−y+1=0 x - y + 1 = 0 and 3x+y−5=0 3x + y - 5 = 0 and perpendicular to one of them, is:
The number of integral values of λ \lambda for which the equation x2+y2−2λx+2λy+14=0 x^2 + y^2 - 2\lambda x + 2\lambda y + 14 = 0 represents a circle whose radius cannot exceed 6 is:
On the sphere (x−1)2+(y+2)2+(z−3)2=25(x - 1)^2 + (y + 2)^2 + (z - 3)^2 = 25, compute the distance from the point M0M_0 to the plane 3x−4z+19=03x - 4z + 19 = 0
On the ellipse 9x2+25y2=2259x^2 + 25y^2 = 225, find the point, the distance from which to the focus F2F_2 is four times the distance to the focus F1F_1.