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JEE 2020 Mathematics : Introduction to 3-D (13.08.2019)

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Question 1

The coordinates of the foot perpendicular from the point (1, 0, 0) to the line  are

Question 2

The shortest distance between the lines
is

Question 3

The plane which bisects the line segment joining the points (-3, -3, 4) and (3, 7, 6) at right angles, passes through which one of the following points?

Question 4

If the direction ratios of two lines are given by and , then the angle between the lines is

Question 5

If the direction ratios of two lines are given by a + b + c = 0 and 2ab + 2ac – bc, then the angle between the lines is

Question 6

If the angle between the lines, and is then P is equal to :

Question 7

The angle of the line w.r.t direction ratio <3,4,0> and x/8=(y-9)/7=(z-5)/7 is

Question 8

Find the value of A if the given 2 lines are perpendicular to each other
L1:
L2:

Question 9

Find the relation of A and B if the given 2 lines are perpendicular to each other
L1:
L2:

Question 10

The line
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Aug 13JEE & BITSAT