3D Geometry · NDA previous year questions

2020 5 questions

1. Q612020 · 6 Sept 2020

   What is the length of the diameter of the sphere whose centre is at $(1,-2,3)$ and which touches the plane $6x-3y+2z-4=0$ ?

   1. A.1 unit
   2. B.2 units
   3. C.3 units
   4. D.4 units
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   Answer: D

2. Q622020 · 6 Sept 2020

   What is the perpendicular distance from the point $(2,3,4)$ to the line $\frac{x-0}{1}=\frac{y-0}{0}=\frac{z-0}{0}$ ?

   1. A.6 units
   2. B.5 units
   3. C.3 units
   4. D.2 units
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   Answer: B

3. Q632020 · 6 Sept 2020

   If a line has direction ratios $⟨a+b,b+c,c+a⟩$, then what is the sum of the squares of its direction cosines?

   1. A.$(a+b+c{)}^2$
   2. B.$2(a+b+c)$
   3. C.3
   4. D.1
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   Answer: D

4. Q642020 · 6 Sept 2020

   Into how many compartments do the coordinate planes divide the space?

   1. A.2
   2. B.4
   3. C.8
   4. D.16
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   Answer: C

5. Q652020 · 6 Sept 2020

   What is the equation of the plane which cuts an intercept 5 units on the $z$-axis and is parallel to $xy$-plane?

   1. A.$x+y=5$
   2. B.$z=5$
   3. C.$z=0$
   4. D.$x+y+z=5$
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   Answer: B