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Find the distance of the point P(3,\ 4,\...

Find the distance of the point `P(3,\ 4,\ 4)` from the point where the line joining the points `A(3,\ -4,\ -5)a n d\ B(2,\ -3,\ 1)` intersects the plane `2x+y+z=7.`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the coordinate of the point where the line through (5, 1, 6) and ...

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  2. Find the coordinates of the point where the line through (3, -4, -5...

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  3. Find the distance of the point P(3,\ 4,\ 4) from the point where the l...

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  4. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  5. If 4x+4y-lambdaz=0 is the equations of the plane through the origin th...

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  6. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

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  7. Show that the lines vec r=(2 hat j-3 hat k)+lambda( hat i+2 hat j+3 h...

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  8. Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=...

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  9. The line through of the plane passing through the lines (x-4)/(1)=(y-3...

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  10. Show that the plane whose vector equation is vec rdot( hat i+2 hat j=...

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  11. Find the vector equation of the plane passing through the points (3, ...

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  12. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  13. Find the vector equation of the plane passing through three points w...

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  14. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

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  15. Find the equation of a plane which passes through the point (3, 2, ...

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  16. Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/...

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  17. Find the shortest distance between the lines , (x-1)/2=(y-3)/4=(z+2)/1...

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  18. Find the length and the foot of the perpendicular from the point (7...

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  19. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  20. Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

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