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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2012 · Mathematics · Three Dimensional Geometry

If the distance between the point (7,1,-3) and (4,5, λ) is 13...

If the distance between the point (7,1,−3)(7,1,-3) and (4,5,λ)(4,5, \lambda) is 13 units, then what is one of the values of λ\lambda ?

Options

  1. A2020
  2. B1010
  3. C99
  4. D88

Correct answer

C. 99

Step-by-step solution

(7−4)2+(1−5)2+(λ+3)2=139+16+λ2+9+6λ=169\begin{aligned} & \sqrt{(7-4)^2+(1-5)^2+(\lambda+3)^2}=13 \\ & 9+16+\lambda^2+9+6 \lambda=169\end{aligned}λ2+6λ−135=0λ=9,−15.\begin{aligned} & \lambda^2+6 \lambda-135=0 \\ & \lambda=9,-15.\end{aligned}$
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