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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Mathematics
Chapter
Three Dimensional Geometry

BITSAT 2023 · Paper 2 · Mathematics · Three Dimensional Geometry

If the co-ordinates of the point in which the line joining the...

If the co-ordinates of the point in which the line joining the points (3,5,−7)and(−2,1,8)(3,5,-7) and (-2,1,8) is intersected by the plane yzy z is \left[\mathrm{a}, \frac{13}{\mathrm{~b}}, \mathrm{c}\right],then, then(a+b-c)=

Options

  1. A
    2
  2. B
    3
  3. C
    4
  4. D
    5

Correct answer

B.
3

Step-by-step solution

Ratio =−(3−2)=32=-\left(\frac{3}{-2}\right)=\frac{3}{2}
∴\therefore \quad Required co-ordinates of the points are
[6−65,10+35,−14+245]=(0,135,2).∴a+b−c=0+5−2=3\begin{aligned} \\ & {\left[\frac{6-6}{5}, \frac{10+3}{5}, \frac{-14+24}{5}\right]=\left(0, \frac{13}{5}, 2\right).} \\ \\ & \therefore a+b-c=0+5-2=3 \\ \end{aligned}
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