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Show that the points (-3,0,1) and (1,1,1...

Show that the points `(-3,0,1)` and `(1,1,1)` are equidistant from the plane `3x+4y-12z+13=0`.

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Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane 3x+4y-12 z+13=0.

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane barr *(3hati + 4hatj - 12hatk) + 13 = 0

Ifthe points (1,1,lambda) and (-3,0,1) are equidistant from the plane,3x+4y-12z+13=0, then lambda satisfiesthe equation

If the points (2,1) and (1,-2) are equidistant from the point (x,y), show that x+3y=0

If the points (1,1,p) and (3,0,1) be equidistant from the plane vec r*(3hat i+4hat j-12hat k)+13=0, then find the value of p.

If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr.(3hati+4hatj-12hatk)+13 , find the values of p.

For what value (s) of a will the two points (1,a,1) and (-3,0,a) lie on opposite sides of the plane 3x+4y-12z+13=0?

RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the distance of the point (2,1,-1) is equidistant from the plane ...

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  2. Show that the point (1,2,1) is equidistant from the planes vecr.(hati+...

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

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  4. Distance between the two planes: 2x + 3y + 4z = 4and 4x + 6y + 8z = 12...

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  5. Find the distance between the parallel planes x+2y-2z+4=0 and x+2y-2z-...

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  6. Find the equations of the planes parallel to the plane x-2y+2z-3=0, ea...

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  7. Find the equation of the plane which passes through the point (3,4,-1)...

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  8. Find the equation of the plane mid-parallel to the planes 2x-3y+6z+21=...

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  9. Show that the planes 2x-y+6z=5 and 5x-2.5y+15z=12 are parallel.

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  10. Find the vector equation of the plane through the point (3hati+4hatj-h...

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  11. Find the equation of the plane passing through (a,b,c) and paralle tot...

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  12. Find the vector equation of a plane which is parallel to the plane vec...

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  13. Find the equation of the plane through the point (1,4,-2) and parallel...

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  14. Find the equation of the plane passing through the origin and parallel...

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  15. Find the equation of the plane passing through the point (-1,0,7) and ...

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  16. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

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  17. Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.

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  18. Find the equation of a plane containing the line of intersection of...

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

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  20. Find the equation of the plane passing through the intersection of ...

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