Test Description

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 for JEE 2024 is part of JEE preparation. The JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 questions and answers have been prepared
according to the JEE exam syllabus.The JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 MCQs are made for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 below.

Solutions of JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 questions in English are available as part of our course for JEE & JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 solutions in
Hindi for JEE course.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study for JEE Exam | Download free PDF with solutions

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 1

If the distance of the point P(1, -2, 1) from the plane x + 2y - 2z = a, where a > 0 is 5, then foot of perpendicular from P to the plane is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 1

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 2

The image of point (3, -2, 1) in plane 3x – y + 4z = 2 is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App |

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 3

The equation of plane passing through the point (0, 7, -7) and containing the line

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 3

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 4

Let the line lie in the plane x + 3y - az + b = 0, then (a, b) equals

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 4

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 5

The angle between line and plane 3x – 2y + 6z = 0 is (m is scalar)

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 5

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 6

Let P(3, 2, 6) be a point in space and Q be a point on line Then value of m for which the vector is parallel to the plane x-4y + 3z = 1 is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 6

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 7

A variable plane at a distance of 1 unit from the origin cut the co-ordinate axis at A, B and C. If the centroid D (x, y, z) of ΔABC satisfy the relation then value of k is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 7

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 8

The Cartesian equation of plane passing through (1, 1, 1) and containing the x-axis is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 8

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 9

If the plane 2x – y + z = 0 is parallel to the line then value of a

is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 9

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 10

Let L be the line of intersection of planes 2x + 3y + z = 1 and x + 3y + 2z = 2. If L makes an angle ‘α’ with the positive x-axis, then cosa equals

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 10

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 11

The ratio in which the line joining (2, 4, 5), (3, 5, -4) is divided by the yz-plane is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 11

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 12

The equation of the plane through the point (-1, 2, 0) and parallel to the line

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 12

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 13

Equation of the line through (1, 1, 1) and perpendicular to the plane 2x + 3y – z – 5 = 0 is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 13

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 14

Let A (1,1,1) , B (2, 3, 5) and C (-1, 0, 2) be three points, then equation of a plane parallel to the plane ABC which is a distance 2 is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 14

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 15

The distance of the point (2, 1, -1) from the plane x - 2y + 4z = 9 is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 15

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 16

A variable plane is at a constant distance 3p form the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 16

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 17

The angle between the straight line and the plane 4x - 2y - 5z = 9

is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 17

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 18

The distance between the line and the plane

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 18

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 19

Equation of the plane containing the straight line and perpendicular to the

plane containing the straight line

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 19

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 20

If the distance between the plane x - 2y + z = d and the plane containing the line

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 20

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 21

If the lines intersect, then k is equal to

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 21

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 22

A line with positive direction cosines passes through the point P(2, -1, 2) and makes equal angle with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 22

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 23

The d.r’s of the line AB are 6, - 2,9. If the line AB makes angles α,β with oy, oz respectively where O = ( 0, 0, 0) then sin^{2}α - sin^{2}β =

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 23

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 24

A line makes the same angle θ with each of the x - axis and z - axis. It makes β angle with y - axis such that sin^{2} β = 3sin^{2} θ then cos^{2} θ

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 24

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 25

If the angle θ between the line and plane is such that Then, value of λ is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 25

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 26

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 27

A plane π passes through the point (1, 1, 1). If b, c, a are the direction ratios of a normal to the plane, where a, b, c ( a < b< c ) are the prime factors of 2001, then the equation of the plane π is

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 27

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 28

The point of intersection of the lines must be

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 28

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 29

The direction ratios of a normal to the plane through (1, 0, 0), (0, 1, 0) which makes an angle of with the plane x + y = 3 are

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 29

JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 30

The equation of the plane passing through the mid-point of the line joining the points (1, 2, 3) and (3, 4, 5) and perpendicular to it is:

Detailed Solution for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 - Question 30

Information about JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 Page

In this test you can find the Exam questions for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2 solved & explained in the simplest way possible.
Besides giving Questions and answers for JEE Advanced Level Test: Three Dimensional 3D Geometry- 2, EduRev gives you an ample number of Online tests for practice

Download as PDF