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The angle between the line x/2 = y/3 = z...

The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 is

A

`45^(o)`

B

`0^(o)`

C

`cos^(-1)((24/sqrt29.sqrt22))`

D

`90^(o)`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. Equation of x-axis is

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  3. The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 ...

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  4. The equation of a line of intersection of planes 4x+4y-5z=12 and 8x+12...

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  5. The equation of the plane which makes with coordinate axes a triangle ...

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  6. A variable plane moves, so that the sum of the reciprocals of its inte...

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  7. Equation of the plane passing through the line of intersection of the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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