AP EAMCET · Maths · Three Dimensional Geometry
The length of perpendicular from the origin to the plane which makes intercepts \(\frac{1}{3}, \frac{1}{4}\) and \(\frac{1}{5}\) respectively on the coordinate axes is
- A \(\frac{1}{5 \sqrt{2}}\)
- B \(\frac{1}{10}\)
- C \({5\sqrt{2}}\)
- D \(5\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{5 \sqrt{2}}\)
Step-by-step Solution
Detailed explanation
Here, intercepts made with the coordinate axes \(\mathrm{X}, \mathrm{Y}\) and \(\mathrm{Z}\) are \(\frac{1}{3}, \frac{1}{4}\) and \(\frac{1}{5}\) respectively. Intercept form of a plane is \(\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\) We have,…
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