JEE Mains · Maths · STD 12 - 11. three dimension geometry
The distance of the point \((1,-2,3)\) from the plane \(x-y+z=5\) measured parallel to a line, whose direction ratios are \(2,3,-6\) is :
- A \(3\)
- B \(5\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
\((1+2 \lambda)+2-3 \lambda+3-6 \lambda=5\) \(\Rightarrow 6-7 \lambda=5 \Rightarrow \lambda=\frac{1}{7}\) so, \(P=\left(\frac{9}{7},-\frac{11}{7}, \frac{15}{7}\right)\) \(A P=\sqrt{\left(1-\frac{9}{7}\right)^{2}+\left(-2+\frac{11}{7}\right)^{2}+\left(3-\frac{15}{7}\right)^{2}}\)…
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