Coordinates in 3D: JEE Questions & Solutions

Let the point A divide the line segment joining the points P(-1, -1, 2) and Q(5, 5, 10) internally in the ratio r: 1 (r 0). If O is the…

Let A (x, y, z) be a point in xy-plane, which is equidistant from three points (0, 3, 2), (2, 0, 3) and (0, 0, 1). Let B (1, 4, -1) and C…

Let P(3, 2, 3), Q(4, 6, 2), R(7, 3, 2) be the vertices of PQR. Then, the angle QPR is:

Consider a triangle ABC where A(1,2,3), B(-2,8,0), and C(3,6,7). If the angle bisector of angle BAC meets the line BC at D, then the length…

Let P(a1, b1) and Q(a2, b2) be two distinct points on a circle with center C( 2, 3). Let O be the origin and OC be perpendicular to both CP…

A(2, 6, 2), B(-4, 0,), C(2, 3, -1) and D(4, 5, 0), where | | 5 are the vertices of a quadrilateral ABCD. If its area is 18 square units,…