Two systems of rectangular axis have the same origin.

Question:

Two systems of rectangular axis have the same origin. If a plane cuts them at distances aband a¢, b¢, c¢, respectively, from the origin, prove that

$\frac{1}{a^{2}}+\frac{1}{b^{2}}+\frac{1}{c^{2}}=\frac{1}{a^{2}}+\frac{1}{b^{2}}+\frac{1}{c^{2}}$

Solution:

Let’s take OX, OY, OZ and ox, oy, oz to be two rectangular systems.

And, the equations of two planes are

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now