3D Geometry · NDA previous year questions

2019 6 questions

1. Q602019 · 17 Nov 2019

   If the line $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ lies on the plane $2x-4y+z=7$, then what is the value of $k$?

   1. A.2
   2. B.3
   3. C.5
   4. D.7
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   Answer: D

2. Q202019 · 21 Apr 2019

   There are 10 points in a plane. No three of these points are in a straight line. What is the total number of straight lines which can be formed by joining the points?

   1. A.90
   2. B.45
   3. C.40
   4. D.30
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   Answer: B

3. Q652019 · 21 Apr 2019

   What is the radius of the sphere $x^2+y^2+z^2-6x+8y-10z+1=0$?

   1. A.5
   2. B.2
   3. C.7
   4. D.3
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   Answer: C

4. Q662019 · 21 Apr 2019

   The equation of the plane passing through the intersection of the planes $2x+y+2z=9$, $4x-5y-4z=1$ and the point $(3,2,1)$ is

   1. A.$10x-2y+2z=28$
   2. B.$10x+2y+2z=28$
   3. C.$10x+2y-2z=28$
   4. D.$10x-2y-2z=24$
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   Answer: A

5. Q672019 · 21 Apr 2019

   The distance between the parallel planes $4x-2y+4z+9=0$ and $8x-4y+8z+21=0$ is

   1. A.$\frac{1}{4}$
   2. B.$\frac{1}{2}$
   3. C.$\frac{3}{2}$
   4. D.$\frac{7}{4}$
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   Answer: A

6. Q682019 · 21 Apr 2019

   What are the direction cosines of z-axis?

   1. A.$⟨1,1,1⟩$
   2. B.$⟨1,0,0⟩$
   3. C.$⟨0,1,0⟩$
   4. D.$⟨0,0,1⟩$
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   Answer: D