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JEE 2020 Mathematics : Line and Planes - 02 (16.08.2019)

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Question 1

The reflection of the point P(1, 0, 0) in the line

Question 2

A line OP through origin O is inclined at 30 ° and 45 ° to OX and OY respectively. The angle at which it is inclined to OZ is:

Question 3

Find the equation of the line which is parallel to the line passing through the points (1,5,0) and (1,9,-3)
And passing through the point (0,6,12)

Question 4

Find the equation of the line which is parallel to the line passing through the points (2,8,10) and (0,7,3)
And passing through the point (2,5,12)

Question 5

A line is formed with by joining the two points as given and hence find the angles of the line with respect to the three axes.
The points are (1,3,6) and (2,7,1)

Question 6

Find the equation of a plane containing the lines and parallel to the plane as given below


Question 7

Find the Cartesian equation of the plane which is at units from the origin and its normal from the origin is .

Question 8

Find the equation of the plane having the line

Question 9

The Vector form of the equation of the plane containing the line

Question 10

The Cartesian equation of the plane passing through (1,1,1) and containing the x-axis
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Oct 16JEE & BITSAT