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If the product of distances of the point...

If the product of distances of the point `(1,1,1)` from the origin and plane `x-y+z+lambda=0` be 5 then `lambda=`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equations of the plane parallel to the plane x-2y+2z-3=0\ an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to ...

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  20. Find the vector equation of the line through the origin which is per...

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