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The acute angle between the two planes ...

The acute angle between the two planes ` x + y + 2z`
= 3 and 3x - 2y + 2z = 7 ` is …….

A

`"cos"^(-1)((3)/(sqrt(102)))`

B

`"cos"^(-1)((1)/(sqrt(102)))`

C

`"cos"^(-1)((9)/(sqrt(102)))`

D

`"cos"^(-1)((5)/(sqrt(102)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

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

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

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

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

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

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

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

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

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

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

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  14. The acute angle between the line (x+1)/(2) = (y)/(3)= (z-3)/(6) and th...

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  15. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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  16. If the angle theta between Z-axis and the plane 3x-4y+5z+7=0 " is co...

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  17. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  18. The angle between the line (x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x...

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  19. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  20. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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