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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
- Prove that the line of section of the planes 5x+2y-4z+2=0 and 2x+8y+2z...
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- Find the equations of the line through the point (1,2,4) and parallel ...
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- Find the angle between the lines: x-2y+z=0=x+2y-2z and x+2y+z=0=3x+9y+...
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- Prove that the lines x=py+q, z=ry+s and x=p'y+q'z=r'y+s' are at right ...
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- Find the equations of the plane through the intersection of the planes...
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- Find the equations of the plane which contains the line of intersectio...
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- If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...
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- Name the locus of the equation x^2+y^2=0.
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- What is the locus of the equations x^2+y^2+z^2=0?
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- Write the direction cosines of the Y-axis.
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- What is the shortest distance between two intersecting lines?
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- Direction cosines of hat i are ‘
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- Write down direction cosines of the line (1-x)/1=(y-2)/1=(z-3)/1.
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- What is the angle between the planes x+y=0 and z=0.
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- Name the surface represented by the equation ax+by+cz+d=0, where a^2+b...
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- Write the attitude numbers of the plane 2x-3y+4z-13=0.
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- Find p if the planes 2x+3y+6z-13=0 and 6x+py-3z=0 are at right angles.
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- Find lambda if the lines x/6=y/2=z/-3 and x/p=y/-6=z/2 are at right an...
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- Find the intercepts of the plane 2x-3y+4z-24=0 on the cooridnate axes.
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- Find the distance of the plane x+y+z-sqrt3=0 from the origin.
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