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The angle between the planes x+2y+2z =3 ...

The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

A

`(cos^(-1)) (9sqrt2)/20`

B

`(cos^(-1)) (3sqrt2)/5`

C

`(cos^(-1)) (3sqrt2)/10`

D

`(cos^(-1)) (19sqrt2)/30`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Equation of the plane passing through the line of intersection of the ...

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  2. The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 ,...

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  3. The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

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  4. The distance of the point A(2,3,4) from x-axis is

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  5. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

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  6. A variable plane at a distance of 1 unit from the origin cuts the coor...

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  7. A plane passes through (1, - 2, 1) and is perpendicular to the planes ...

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  8. The point (alpha, beta, gamma) lies on the plane x+y+z = 2. Let, vec a...

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  9. Let vec A be a vector parallel to the line of intersection of planes P...

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  10. Consider the lines L(1) = (x+1)/3 = (y+2)/1 = (z+1)/2, L(2) = (x-2)/1 ...

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  11. The shortest distance between the lines L(1) : (x+1)/3 = (y+2)/1 =(z+1...

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  12. The equation of the line passing through the point (3,2) and perpendic...

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  13. Let (P (3,2,6) be a point in space and Q be point on the line vecr = (...

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  14. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

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  15. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  16. If the distance between the plane Ax+2y+z=d and the plane containing t...

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  17. A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 ...

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  18. The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0)...

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  19. The plane, which passes through the point (3, 2, 0) and the line (x-3)...

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  20. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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