NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter : INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

Fill in the Blanks

The three axes OX, OY, OZ determine ____.

The three planes determine a rectangular parallelepiped which has ______ of rectangular faces.

The coordinates of a point are the perpendicular distance from the ______ on the respective axes.

The three coordinate planes divide the space into ______ parts.

If a point P lies in yz-plane, then the coordinates of a point on yz-plane is of the form ______.

The equation of yz-plane is ______.

If the point P lies on z-axis, then coordinates of P are of the form ______.

The equation of z-axis, are ______.

A line is parallel to xy-plane if all the points on the line have equal ______.

A line is parallel to x-axis if all the points on the line have equal ______.

x = a represent a plane parallel to ______.

The plane parallel to yz-plane is perpendicular to ______.

The length of the longest piece of a string that can be stretched straight in a rectangular room whose dimensions are 10, 13 and 8 units are ______.

If the distance between the points (a, 2, 1) and (1, –1, 1) is 5, then a ______.

If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, –3), E (3, 0, 1) and F (–1, 1, –4), then the centroid of the triangle ABC is ______.