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Find the equation of the plane through the line of intersection of the planes `x+y+z=1 and 2x+3y+4z=5` which is perpendicular to the plane `x-y+z=0`

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Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0.

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Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0a n dx-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0.

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The equation of the plane through the point of intersection of plane x+2y+3z=4 and 2x+y-z-5 and perpendicular to the plane 5x+3y+6z+8=0 is (A) 7x-2y+3z+81=0 (B) 23x+14y-9z+48=0 (C) 51x+15y+50z+173=0 (D) none of these

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RD SHARMA ENGLISH-THE PLANE -All 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 through the intersection of the planes ...

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  3. Find the equation of the plane through the line of intersection of the...

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  4. Prove that if a plane has the intercepts a, b, c and is at a distance...

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  5. If the points (1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1) be equidistant from ...

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  6. Find the distance between the point P(6, 5, 9)and the plane determine...

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  7. Find the equation of a plane passing through the point P(6,\ 5,\ 9) an...

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  8. A variable plane is at a constant distance p from the origin and meets...

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  9. A variable plane at a constant distance p from the origin meets the co...

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  10. Find the distance of the point 2 hat i- hat j-4 hat k from the plane ...

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  11. Find the distance of the point (2, 3, -5) from the plane x+2y-2z-9=0.

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  12. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

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  13. Find the equations of the plane parallel to the plane x-2y+2z-3=0\ an...

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  14. Find the distance of the point (2, 3, 5) from the xy-plane.

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  15. If the product of distances of the point (1,1,1) from the origin and p...

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  16. Find the distance between the point (7,2,4) and the plane determined b...

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  17. Find the distance between the planes 2x-y+2z=4 and 6x-3y+6z=2.

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  18. Prove that the four points having position vectors are non-coplanar: ...

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  19. Find the equation of the plane mid parallel to the planes 2x-2y+z+3=0\...

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  20. Reduce the equation of line x-y+2z=5a d n3x+y+z=6 in symmetrical fo...

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