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The plane x/2+y/3+z/4 = 1 cuts the axes ...

The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the triangle ABC is

A

`sqrt29`

B

`sqrt41`

C

`sqrt61`

D

none

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

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  2. If P be the point (2,6,3) then the equation of the plane through P at ...

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  3. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

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  4. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

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  5. Equation of x-axis is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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