Test Index

CBSE Class 12 Math 2011 Solved Paper

© examsnet.com
Question : 10 of 29
Marks: +1, -0
Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.
Solution:  
2x + y – z = 5
Dividing both sides by 5,
2x5+y5z5\frac{2x}{5}+\frac{y}{5}-\frac{z}{5} = 1
x52+y5+z5\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 xa+yb+zc\frac{x}{a}+\frac{y}{b}+\frac{z}{c} = 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 52\frac{5}{2}
© examsnet.com
Go to Question: