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

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

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

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Find the equation of the plane throughathe points (2,-3,1) and (5,2,-1) and perpendicular to the plane x-4y+5z+2=0

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Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0,3y+4x-24=0 Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the distance of the point 2 hat i- hat j-4 hat k from the plane ...

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

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

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

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

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

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

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

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

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

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

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  12. Find dy/dx if x=ay+b

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  13. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

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  14. Find the equation of the plane passing through the line of intersectio...

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

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

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  17. Find the equation of the plane passing through the point A(1,\ 2,\ 1) ...

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  18. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

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  19. Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda...

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  20. Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the pla...

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