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The equation of the line intersection of...

The equation of the line intersection of the planes `4x+4y-5z=12 and 8x+12y-13z=32` can be written as: (A) `x/2=(y-1)/3=(z-2)/4` (B) `x/2=y/3=(z-2)/4` (C) `(x-1)/2=(y-2)/3=z/4` (D) (x-1)/2=(y-2)/(-3)=z/4`

A

`(x-1)/2=(y+2)/(-3)=z/4`

B

`(x-1)/2=(y-2)/(3)=z/4`

C

`x/2=(y+1)/3=(z-2)/4`

D

`x/2=y/3=(z-2)/4`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -2 : Concept Applicator
  1. Find the equation of a line which passes through the point (1,1,1) ...

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  2. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

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

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  4. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  5. The line which contains all points (x, y, z) which are of the form (x,...

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  6. Show that the points A(1,2,3), B(-1,-2,-1), C(2,3,2), D(4,7,6) are the...

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  7. The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

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  8. The line which passes through the origin and intersect the two lines (...

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  9. The angle between the lines (x+1)/2 = (y+3)/2 = (z-4)/-1 and (x-4)/1 =...

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  10. The distance between the line given by vecr= hati+hatj + lamda(hati-2...

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  11. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  12. The coordinates o the foot of the perpendicular drawn from the orig...

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  13. If A,B,C are point (1,0,4) , (0,-1,5) and (2,-3,1) respectively , then...

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  14. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

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

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  16. The plane ax+by=0 is rotated through an angle alpha about its line of ...

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  17. The plane x + 3y + 13 = 0 passes through the line of intersection of t...

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  18. A variable plane at distance of 1 unit from the origin cuts the coordi...

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

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  20. The equation of the line passing through (1, 1, 1) and perpendicular t...

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