The distance of the point $(x,y,z)$ from $XY$-plane is

Important Questions on Introduction to Three Dimensional Geometry

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 5

A point $(x, y, z)$ moves parallel to the $XY$-plane. Which of the three variables, $x$, $y$ and $z$ remains fixed?

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 6

A point $(x,y,z)$ moves parallel to the $x$-axis. Which of the three variables $x$, $y$ and $z$ remain fixed?

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 7

The distance of the point $(3, 4, 5)$ from the $x$-axis is:

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 8

The shortest distance of the point $(a, b, c)$ from the $x$-axis is:

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 9

The number of values of $a$ for which the distance between the points $(3, -5, 4)$ and $(a, -8, 4)$ is $5$ is:

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 10

The area of the triangle having vertices $P(1,2,3)$, $Q(4,0,4)$ and $R(-2,4,2)$ is

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 11

The points $P(0, 7, 10)$, $Q(-1, 6, 6)$ and $R(-4, 9, 6)$ are the vertices of:

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 5 - Introduction to Three Dimensional Geometry>EXERCISE>Q 12

The area of the quadrilateral having vertices $(0, 4, 1)$, $(2, 3, -1)$, $(4, 5, 0)$ and $(2, 6, 2)$ is: