CBSE Class 12 Math 2011 Solved Paper

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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 = 1
x52+y5+z5 = 1
It is known that the equation of a plane in intercept form is xa+yb+zc = 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
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