+91-8076753736 [email protected]

-->

Three Dimensional Geometry

Question

Wired Faculty App

Find the intercepts cut off by the plane x + 2y – 2z = 9 with the axes.

Solution

The equation of plane is

straight x plus 2 straight y minus 2 straight z space equals space 9 space space space space or space space space straight x over 9 plus fraction numerator 2 straight y over denominator 9 end fraction space minus space fraction numerator 2 straight z over denominator 9 end fraction space equals space 1

or

straight x over 9 plus space fraction numerator straight y over denominator begin display style 9 over 2 end style end fraction plus fraction numerator straight z over denominator negative begin display style 9 over 2 end style end fraction space equals space 1

which is of intercept form

straight x over straight a plus straight y over straight b plus straight z over straight c equals 1

therefore space space straight a space equals space 9 comma space space space straight b space equals space 9 over 2 comma space space straight c space equals space minus 9 over 2 therefore space space space space intercepts space are space 9 comma space 9 over 2 comma space minus 9 over 2.

Some More Questions From Three Dimensional Geometry Chapter

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

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation