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 the xy-plane, which is equidistant from three points (0, 3, 2), (2, 0, 3) and (0, 0, 1). Let B = (1, 4, -1)…

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(1,3,2), 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…

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