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The angle at which the normal vector to ...

The angle at which the normal vector to the plane `4x+8y+z=5` inclined to the Z-axis is

A

`"cos"^(-1)((8)/(9))`

B

`"cos"^(-1)((1)/(9))`

C

`"cos"^(-1)((2)/(9))`

D

`"cos"^(-1)((4)/(9))`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

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  2. Find the angles at which the normal vector to tehplane 4x+8y+z=5 is in...

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  3. The angle at which the normal vector to the plane 4x+8y+z=5 inclined ...

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  4. The angle between the line of intersection of planes barr.(hati+3hatj-...

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  5. The angle between the line of intersection of planes barr.(hati+3hatj-...

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  6. The angle between the line of intersection of planes barr.(hati+3hatj-...

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  7. Find the angle between the planes whose vector equations are barr ...

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  8. The angle between planes barr.(2hati+hatj-hatk)=3andbarr.(hati+2hatj+h...

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  9. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

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  10. The acute angle between the two planes x + y + 2z = 3 and 3x - 2y ...

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  11. The angle between planes 3x-6y+2z=8and2x+2y-2z=10 is

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  12. The angle between planes 3x-6y+2z=8and 2x+2y-2z=10 is

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  13. If the planes ax+by+cz+d=0anda(1)x+b(1)y+c(1)z+d(1)=0 be mutually perp...

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  14. The value of k for which the planes 3x-6y-2z=7 and 2x+y-kz=5 areperpen...

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  15. If the planes 3x-2y+2z+17=0 and 4x+3y-kz=25 are mutually perpendicul...

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  16. The angle between the line barr=(hati+hatj-hatk)+lamda(hati-hatj+hatk)...

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  17. The angle between the line barr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk...

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  18. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  19. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  20. Find the angle between the line (x-1)/(3)=(y+1)/(2)=(z+2)/(4) and the ...

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