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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- A line makes equal angles with coordinate axes. Direction cosines of t...
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- Distance of the point (alpha, beta, gamma) from the y-axis is
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- If the direction cosines of a line are k,k,k then
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- Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the or...
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- The sine of the angle between the straight the (x-2)/(3)=(3-y)/(-4)=(z...
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- Reflection of the point (alpha, beta, gamma) in XY plane is
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- The area of the quadrilateral ABCD, where A (0, 4, 1), B (2, 3, - 1), ...
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- The locus represented by xy+yz=0 is
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- The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...
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- A line with direction cosines proportional to 2,1,2 meets each of the ...
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- A line makes some angle theta, with each of the x and z-axis. If the a...
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- Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...
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- The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...
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- If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...
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- The angle between the lines 2x = 3y = - z and 6x =-y = 04z is
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- The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:
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- The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...
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- A variable plane is at a constant distance k from the origin and meets...
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- If P = (0,1,2) and Q = (4,-2,1), O = (0,0,0) then P hat O Q =
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- If a line makes angles pi/3 and pi/4 with the x-axis and y-axis respec...
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