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Find the equations of planes through the line of intersection of the planes `3x-y-4z=0` and `x+3y+6=0` and at a distance of 1 unit from the origin.

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The correct Answer is:
`2x+y-2z+3=0, x-2y-2z-3=0`
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AAKASH SERIES-PLANES-ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the equation of the plane through the line of intersection of the...

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  2. Find the equation of the plane passing through the points (0, 1,1), (1...

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  3. Find the equations of planes through the line of intersection of the p...

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  4. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

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  5. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

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  6. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

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  7. Let pi(1):2x-y+2z-6=0 and pi(2):x+2y-2z+7=0 are given two planes then ...

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  8. Find the equations of the planes passing through the line of intersect...

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  9. Find the distance from the point P(3,2,-1) to the plane containing the...

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  10. If P=(3,-4,1), Q=(4,0,2) then find the projection of bar(PQ) on the pl...

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  11. Find the angles at which the normal line to the plane 8x-4y+z+1=0 is i...

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  12. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  13. Find the length and the foot of the perpendicular from the point (7, 1...

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  14. Find the image of the point (1, 2, 3) with respect to the plane x-3y-4...

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  15. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

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  16. If P be any point on the plane lx+my+nz =p and Q be a point on the lin...

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  17. If a variable plane forms a tetrahedron of constant volume 64k^(3) wit...

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  18. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

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  19. Find the values of k if the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (...

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  20. Find the equation of a plane containing the lines (x-5)/(4)=(y-7)/(4)=...

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