Three Dimensional Geometry

Question

Wired Faculty App

Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.

Solution

2 x + y - z = 5

Dividing both sides by 5,

$\frac{2 x}{5} + \frac{y}{5} - \frac{z}{5} = 1 \Rightarrow \frac{x}{\frac{5}{2}} + \frac{y}{5} + \frac{z}{- 5} = 1 It is known that the equation of a plane in intercept form is \frac{x}{a} + \frac{y}{b} + \frac{c}{z} = 1, where a, b and c are the intercepts cut off by the plane at x, y, and z - axes respectively .$

Thus, the intercept cut off by the given plane on the x-axis is $\frac{5}{2}$ .

For Daily Free Study Material Join wiredfaculty

Three Dimensional Geometry

Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.

Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location