AP EAMCET · Maths · Straight Lines
If \(\mathrm{d}_1, \mathrm{~d}_2, \mathrm{~d}_3\) are the distances of the point \((1,2,3)\) from the \(\mathrm{X}, \mathrm{Y}, \mathrm{Z}\)-coordinate axes respectively then \(2 d_2^2+d_3^2+1=\)
- A \(d_1^2\)
- B \(2 d_1^2\)
- C \(3 d_1^2\)
- D \(4 d_1^2\)
Answer & Solution
Correct Answer
(B) \(2 d_1^2\)
Step-by-step Solution
Detailed explanation
We have distance \(\mathrm{d}_1, \mathrm{~d}_2\) and \(\mathrm{d}_3\) of the point \((1.2,3)\) from X,Y, Z. \(\begin{aligned} & \Rightarrow \mathrm{d}_1=\sqrt{2^2+3^2}=\sqrt{13} \\ & \mathrm{~d}_2=\sqrt{1^2+3^2}=\sqrt{10} \\ & \mathrm{~d}_3=\sqrt{1^2+2^2}=\sqrt{5}\end{aligned}\)…
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