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Find the equation of the plane passing t...

Find the equation of the plane passing through the line `(x-8)/3=(y+19)/-16=(z-10)/7` and the point `(1,2,-4)`.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane passing through the point (2,3,1) and p...

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  2. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

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  3. Find the equation of the plane passing through the line (x-8)/3=(y+19)...

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  4. Find the length of the perpendicular from (2,0,1) on the line x=y=z.

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  5. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  6. Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3and (x+1)/4=(y+1)/5=(z+1)/...

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  7. Show that the plane 2x-y-2z-4=0 touches the shpere x^2+y^2+z^2+2x-6y+1...

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  8. Find the equation of the sphere concentric with the sphere x^2+y^2+z^2...

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  9. Find equation of the sphere whose centre is (2,-3,4) and which passes ...

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  10. Find equation of the sphere with centre (3,6,-4) and touching the plan...

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  11. Find equation of the sphere passing through the points (0,0,0), (2,0,0...

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  12. If one end of a diameter of a sphere x^2+y^2+z^2-4x-2y+2z-30=0 is (4,5...

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  13. Find the equation of the sphere on the join of (2,3,5) and (4,9,-3) as...

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  14. If the vectors a^rarr=2overset^j-3overset^k and b^rarr=2overset^j+aove...

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  15. If |alphaoversetrarra|=2, what is the value of alpha?

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  16. If the position vectors of two points A ans B are 3overset^i+2overset^...

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  17. Given position vectors of P and Q, as (1,0,-2) and (3,-2,0) respective...

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  18. Given co-ordinates of the points A and B as (-1,-2) and (-5,-6) respec...

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  19. Write the unit vectors parallel to the vector 3overset^i+overset^j-2ov...

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  20. Find the direction cosines of the vectors, oversetrarr(r1)-oversetrarr...

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