List of top Mathematics Questions on Coordinate Geometry asked in Bihar Board X

The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
The distance between the points \( (2\cos \theta, 0) \) and \( (0, 2\sin \theta) \) is:
The intersecting point of straight lines \( x = -2 \) and \( y = 3 \) is:
The distance between the points \( (7, -4) \) and \( (-5,1) \) is:
The point on \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:
If three points are collinear then what is the area of the triangle formed by them?
If \( A(-1,0) \), \( B(5,-2) \), and \( C(8,2) \) are the vertices of a triangle \( \triangle ABC \), then the coordinates of its centroid are:
If \( P \left( \frac{a}{2}, 4 \right) \) is the midpoint of the line segment joining the points \( A(-6,5) \) and \( B(-2,3) \), then the value of \( a \) is:
If point \(R(a,b)\) lies on the line segment joining \(P(0,0)\) and \(Q(0,2)\), which of the following is true?
The point of intersection of the straight lines \(x=2\) and \(y=-3\) is
Distance between the points \((a\cos\theta,\,0)\) and \((0,\,a\sin\theta)\) is
The mid-point of the line segment joining the points \( (-2, 8) \) and \( (-6, -4) \) lies in which quadrant?
If \( P(0,0) \), \( Q(8,0) \) and \( R(0,12) \) are the vertices of \( \triangle PQR \), then the area of \( \triangle PQR \) is:
The coordinates of the vertices of a triangle are \( (0,6) \), \( (0,0) \) and \( (8,0) \). Then the perimeter of the triangle is:
The graph of the straight line \( y = 2x - 3 \) passes through which of the following points?
The point on the \(x\)-axis which is equidistant from the points \( (-2, 0) \) and \( (6, 0) \) is:
The distance of the point \( (13, 15) \) from the \(y\)-axis is:
The coordinates of the ends of a diameter of a circle are \( (-10, 6) \) and \( (6, -10) \). Then the coordinates of its centre are:
The coordinates of the vertices of a triangle are \( (2, 4) \), \( (0, 6) \) and \( (4, -1) \). Then the coordinates of the centroid of the triangle are:
The length of the perpendicular from the point \( (13, 19) \) to the \(x\)-axis is:
What is the distance of the point \( (15, 8) \) from the origin?