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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....
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- Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...
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- The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...
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- If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...
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- Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...
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- The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...
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- If the direction cosines of a line are 1/c, 1/c, 1/c then,
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- The equation of the right bisector plane of the segment joining (2,3,...
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- The angle between a line with direction ratio proportional to 2,2,1 an...
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- Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...
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- Equation of the plane passing through the mid point of the line segmen...
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- If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...
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- The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1...
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- A non-zero vector vec a is parallel to the line of intersection of the...
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- The projection of the line joining the points (3,4,5) and (4,6,3) on t...
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- The projection of a line segment on the coordinate axes are 2,3,6. The...
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- The equation of the plane through the intersection of the planes x+y+z...
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- The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z...
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- If the position vectors of the points A and B are 3i+j+2k and i-2 j-4k...
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- Equation of the plane passing through the point (1,1,1) and perpendicu...
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