CBSE Class 11 (Science) Introduction to Three-dimensional Geometry — practice questions
42 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Introduction to Three-dimensional Geometry in the app →The three coordinate planes divide space into how many octants?What is the z-coordinate of every point lying in the XY-plane?Any point on the x-axis has coordinates of which form?What are the coordinates of the origin in three dimensional space?Which form describes every point in the YZ-plane?The point (-3, 1, 2) lies in which octant?Name the octant of the point (4, -2, -5).In which octant is the point (-2, -4, -7)?Which sign pattern of (x, y, z) is the eighth octant?Find the distance between the points (2, 3, 5) and (4, 3, 1).Distance between (-3, 7, 2) and (2, 4, -1) in units isHow far apart are the points (-1, 3, -4) and (1, -3, 4)?What is the distance between (2, -1, 3) and (-2, 1, 3)?Find PQ for P(1, -3, 4) and Q(-4, 1, 2).How far is the point (3, 4, 12) from the origin?A bulb hangs at (2, 3, 6) from the room corner at the origin. Its distance from the corner isA kite is at (1, 2, 2) relative to the origin. Its distance from the origin isTwo drones at (2, 2, 2) and (5, 6, 2) are at the same height. Their separation isFor P(-2, 3, 5), Q(1, 2, 3), R(7, 0, -1), which relation among the lengths holds?The length PR for P(-2, 3, 5) and R(7, 0, -1) isThe distance from (1, 2, 3) to (3, 6, 9) isFor A(0,7,-10), B(1,6,-6), C(4,9,-6), the equal sides of the isosceles triangle have lengthIn the triangle with A(0,7,10), B(-1,6,6), C(-4,9,6), the right angle is atQuadrilateral A(-1,2,1), B(1,-2,5), C(4,-7,8), D(2,-3,4): find the length AB.In parallelogram A(-1,2,1), B(1,-2,5), C(4,-7,8), D(2,-3,4), side BC equalsPoints equidistant from (1, 2, 3) and (3, 2, -1) satisfy which equation?The centroid of triangle ABC is (1,1,1) with A(3,-5,7), B(-1,7,-6). The z-coordinate of C isThree vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4), C(-1,1,2). Vertex D isFor A(0,0,6), B(0,4,0), C(6,0,0), the median from A has lengthThe origin is the centroid of P(2a,2,6), Q(-4,3b,-10), R(8,14,2c). Find a.The y-coordinate of a point is its perpendicular distance from which plane?How many numbers are needed to fix a point's position in space?Distances measured upward from the XY-plane along OZ are taken asThe x, y and z axes of the rectangular system are related how?Given P(2, 4, 5), the foot F of P on the ZX-plane has coordinatesThe plane determined by the x-axis and y-axis together is called theTwo points differ only in z: (1, 2, 3) and (1, 2, 7). Their distance isWho is called the father of analytical geometry?Who first gave a systematic development of analytical solid geometry in 1700?Which mathematician took up three dimensional coordinate geometry systematically in 1748?Who introduced the three coordinate planes now in use, in a 1715 letter to Leibnitz?Geometry was first extended beyond three dimensions around which time?