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A variable plane which remains at a cons...

A variable plane which remains at a constant distance `p` from the origin cuts the co-ordinate axes at A, B, C. Through A,B,C planes are drawn parallel to the co-ordinate planes. Show that locus of the point of intersection is : `x^(-2)+y^(-2)+z^(-2)=p^-2`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. A variable plane which remains at a constant distance 3p from the orig...

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  2. A variable plane is at a constant distance 4p from the origin and cuts...

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  3. A variable plane which remains at a constant distance p from the origi...

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  4. A variable plane passes through a fixed point a,b,c and meet the co-or...

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  5. A variable plane moves so that the sum of reciprocals of its intercept...

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  6. Show that the sum of the reciprocals of the intercepts on rectangular ...

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  7. Find the equations of the bisector planes of the angle between the pla...

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  8. In the following case, determine whether the given planes are parallel...

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  9. In the following case, determine whether the given planes are parallel...

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  10. In the following case, determine whether the given planes are parallel...

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  11. ਪIn the following case, determine whether the given planes are paralle...

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  12. In the following case, determine whether the given planes are parallel...

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  13. What is the point of intersection of the line x=y=z with the plane x+2...

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  14. Find the angle between the lines in which the planes: 3x-7y-5z=1, 5x-1...

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  15. Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) li...

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  16. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

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  17. Find the vector equation of the line passing through the point (3,1,2)...

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  18. Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane ...

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  19. Find the angle between the line : (2hati+3hatj+4hatk)+lambda(2hati+3ha...

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  20. Find the angle between the line joing (3,-4,-2) and(12, 2, 0) and the ...

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