Class 12th CBSE Mathematics 10 Questions, Question Paper, Sample Question Paper 2012 2013 Exam CBSE SiteMap

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Class 12th CBSE Mathematics 10 Questions

Class 12th CBSE Mathematics 10 Questions



Class 12th CBSE Mathematics 10 Questions

Sample Paper – 2012
Class – XII
Subject –
Mathematics

THREE- DIMENSIONAL GEOMETRY

Q. 1    Find the distance of the point (-2, 3, -4) from the line
 , measured parallel to the plane 4 x + 12 y -3 z + 1 = 0 .
Q. 2    Find the angle between two diagonals of a cube.
Q. 3    Find the distance of the point (1, -2, 3)  from the plane x – y + z = 5 measured along
             a line parallel to  
Q. 4    Find the image of the point (1, 3, 4) in the plane 2x – y + z + 3 = 0,

Q. 5    Find the equation of the plane passing through (1, 2, 0) which contains the line
 .
Q. 6    Find the equation of the plane through the line of intersection of the planes
2x + y – z = 3,  5x -3y + 4z  + 9 = 0 and parallel to the line 
Q. 7    Find the shortest distance between the lines whose vector equations are

                        and                          
Q. 8    A variable plane which remains at a constant distance 3p from the origin cuts
              the co-ordinate axes at  A,  B,  C . show that  the locus of the centroid of the
triangle ABC is    .
Q. 9      Find the length and the foot of the perpendicular from the point (1, 1, 2) to
              the plane   
Q. 10 Find the vector and Cartesian forms of the equation of the plane contacting two lines.


OR
               Show that the points (2, 3, 4) , (- 1, - 2, 1) , ( 5, 8, 7) are collinear.

 

Paper Submitted By:
Name  ATAL BIHARI GUPTA
Email   atalbg@gmail.com
Phone No.       9450430500




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