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If the points (1,\ 1,\ lambda)a n d\ (-3...

If the points `(1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1)` be equidistant from the plane ` vec rdot((3 hat i+4 hat j-12 hat k)+13=0` find the value of `lambdadot`

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

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equation of the plane through the line of intersection of the...

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  2. Prove that if a plane has the intercepts a, b, c and is at a distance...

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  3. If the points (1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1) be equidistant from ...

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  4. Find the distance between the point P(6, 5, 9)and the plane determine...

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  5. Find the equation of a plane passing through the point P(6,\ 5,\ 9) an...

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  6. A variable plane is at a constant distance p from the origin and meets...

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  7. A variable plane at a constant distance p from the origin meets the co...

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

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

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

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

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

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

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

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

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

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

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

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

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

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