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

The intersecting point of the straight lines \( x = -2 \) and \( y = 3 \) is:
The distance between the points \( (7, -4) \) and \( (-5, 1) \) is:
The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3, 2) \) is:
PQRS is a rectangle whose vertices are \( P(0,0) \), \( Q(6,0) \), \( R(6,2) \), and \( S(0,2) \). The area of the rectangle is:
If \( A(a,0) \), \( B(0,0) \), and \( C(0,b) \) are the vertices of \( \triangle ABC \), then the area of \( \triangle ABC \) is:
The point \( (2\sqrt{7}, -3) \) lies in which quadrant?
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 three points are collinear, then what is the area of the triangle made by them?
If \( A(-1, 0), B(5, -2) \), and \( C(8, 2) \) are the vertices of a triangle, the coordinates of its centroid are
Find the area of the triangle whose vertices are \( A(2,1) \), \( B(4,5) \) and \( C(0,3) \).
If point \( A(x,2) \) is equidistant from the points \( B(8,-2) \) and \( C(2,-2) \), find the value of \( x \).
In what ratio does the point \( (-4,6) \) divide the line segment joining \( A(-6,10) \) and \( B(3,-8) \)?
The midpoint of the line segment joining the points \( A(-2, 8) \) and \( B(-6, -4) \) is:
If the points \( (1, 2) \), \( (0, 0) \), and \( (a, b) \) are collinear, then:
Two vertices of a triangle ABC are A(2, 3) and B(1, -3), and the centroid is at C(3, 0), then the coordinates of the third vertex C are:
If from a point \( B \), the length of the perpendicular drawn to the x-axis is 10 and the length of the perpendicular drawn to the y-axis is 5, then the coordinates of the point \( B \) are:
The distance between the points \( (1,-3) \) and \( (4,-6) \) is:
The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:
ABCD is a rectangle whose vertices are \( A(0,0) \), \( B(8,0) \), \( C(8,6) \), and \( D(0,6) \). Then one of the diagonals of the rectangle is:
If \( (0,4) \), \( (0,0) \), and \( (3,0) \) are the vertices of a triangle, then the perimeter of the triangle is:
The point \( (-2\sqrt{2}, -2) \) lies in which quadrant?
The distance between the points \( (5\cos 0, 0) \) and \( (0, 5\sin 0) \) is:
Find the value of \( x \) for which the distance between the points \( P(x, 4) \) and \( Q(9,10) \) is 10 units.
In what ratio does the point \( (-1,6) \) divide the line segment joining the points \( (-3,10) \) and \( (6,-8) \)?
Find the area of the triangle whose vertices are \( (0,4) \), \( (3,6) \), and \( (-8,-2) \).