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Find the distance of the point (2, 3, -5...

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

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To find the distance of the point (2, 3, -5) from the plane given by the equation \(x + 2y - 2z - 9 = 0\), we can use the formula for the distance \(D\) from a point \((x_1, y_1, z_1)\) to a plane \(Ax + By + Cz + D = 0\): \[ D = \frac{|Ax_1 + By_1 + Cz_1 + D|}{\sqrt{A^2 + B^2 + C^2}} \] ### Step-by-Step Solution: ...
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RD SHARMA-THE PLANE -Solved Examples And Exercises
  1. A variable plane at a constant distance p from the origin meets the co...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 point A(1,\ 2,\ 1) ...

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

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

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

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  20. Find the angle between the line joining the points (3,\ -4,\ -2)a n d\...

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