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The plane lx+my=0 is rotated about its l...

The plane `lx+my=0` is rotated about its line of intersection with the plane z=0 through angle measure alpha. Prove that the equation of the plane in new position is `lx+mypmzsqrt(l^2+m^2)tanalpha=0`

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

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  3. The plane lx+my=0 is rotated about its line of intersection with the p...

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  4. State which of the following statements are true (T) or false(F) The...

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  5. State which of the following statements are true (T) or false(F) The...

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  6. State which of the following statements are true (T) or false(F) The...

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  7. State which of the following statements are true (T) or false(F) The...

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  8. State which of the following statements are true (T) or false(F) The...

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  9. The line (x+2)/(-4)+(y-1)/5=(z-1)/3 and (1-x)/(-4)=(y-0)/5=(2-z)/3 are

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  10. The line passing through (-1,0,1) and perpendicular to the plane x+2y+...

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  11. The line (x+1)/2=(y-6)/1=(z-4)/0 is

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  12. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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  13. If l,m,n be d.cs, of a line ,then the line is perpendicular to the pla...

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  14. Find the equation of lines joining the points. (4,-6,1) and (0,3,-1)

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  15. Find the equation of lines joining the points. (a,a,a) and (a,0,a)

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  16. Find the equation of lines joining the points. (2,1,3) and (4,-2,5).

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  17. Write the symmetric form of equation of the following lines : x-axis

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  18. Write the symmetric form of equation of the following lines : y = b, z...

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  19. Write the symmetric form of equation of the following lines : ax+by+d=...

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  20. Write the symmetric form of equation of the following lines : x-2y=3,2...

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