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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2021 · Mathematics · Three Dimensional Geometry

What is the projection of the line segment joining A(1,7,-5) and...

What is the projection of the line segment joining A(1,7,−5)A(1,7,-5) and B(−3,4,−2)B(-3,4,-2) on yy-axis?

Options

  1. A55
  2. B44
  3. C33
  4. D22

Correct answer

C. 33

Step-by-step solution

Point A=(1,7,−5)andB=(−3,4,−2)A=(1,7,-5) and B=(-3,4,-2) Equation of plane AB:al+bm+cn=0a=(1−(−3))=4A B: a l+b m+c n=0a=(1-(-3))=4a=(1−(−3))=4b=(7−4)=3c=(−5−(−2))=−3\begin{aligned} & a=(1-(-3))=4 \\ & b=(7-4)=3 \\ & c=(-5-(-2))=-3\end{aligned}∴\therefore Projection on yy-axis =3=3.
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