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JEE 2020 Mathematics : Line and Planes - 01 (14.08.2019)

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Question 1

Reflection of plane 2x + 3y + 4z + 1 = 0 in plane x + 2y + 3z – 2 = 0 is

Question 2

If a line with direction ratios 2 : 2: 1 intersects the line

at A and B then AB =

Question 3

The projection of any line on co-ordinate axes be respectively 3, 4, 5 then its length is

Question 4

The equations of the line passing through the point (1, 2, – 4) and perpendicular to the two lines

and

, will be

Question 5

If P ≡ (0, 1, 0), Q ≡ (0, 0, 1), then projection of PQ on the plane x + y + z = 3 is

Question 6

The question has FOUR options. ONLY ONE of these four options is the correct answer.

The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7, is

Question 7

If the three planes x = 5, 2x - 5ay + 3z – 2 = 0 and 3bx + y – 3z = 0 contain a common line, then (a, b) is equal to

Question 8

The question has FOUR options. ONLY ONE of these four options is the correct answer.

The equation of plane passing through (1, 2, 3) and at the maximum distance from origin is

Question 9

The line

lies in the plane 4x + 4y – kz – d = 0. The values of k and d are

Question 10

Find the equation of a plane which is 5 units from the origin and normal to the vector

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Mar 10JEE & BITSAT