JEE Exam  >  JEE Tests  >  Mathematics (Maths) for JEE Main & Advanced  >  Test: Cartesian Equation Of A Line - JEE MCQ

Test: Cartesian Equation Of A Line - JEE MCQ


Test Description

10 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Cartesian Equation Of A Line

Test: Cartesian Equation Of A Line for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Cartesian Equation Of A Line questions and answers have been prepared according to the JEE exam syllabus.The Test: Cartesian Equation Of A Line MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cartesian Equation Of A Line below.
Solutions of Test: Cartesian Equation Of A Line questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Cartesian Equation Of A Line solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Cartesian Equation Of A Line | 10 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Cartesian Equation Of A Line - Question 1

Let  be the position vector of an arbitrary point P(x, y, z). Cartesian form of the equation of line passes through two points (x1, y1, z1) and (x2, y2, z2) is:

Test: Cartesian Equation Of A Line - Question 2

Find the vector equation of the line that passes through the origin and (-6,2,1).

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Cartesian Equation Of A Line - Question 3

The Cartesian equation of the line which passes through the point (2, -2, -1) and parallel to the line  , is given by

Test: Cartesian Equation Of A Line - Question 4

If the vector equation of a line is  find its caryesian equation.

Detailed Solution for Test: Cartesian Equation Of A Line - Question 4

r = -2i + 3j + 7k + λ( -i - 2j - 3k)
xi + yj + zk = (-2-λ)i + (3-2λ)j + (7-3λ)k
Equating the terms, we get
x = -2-λ     y = 3-2λ   z = 7-3λ
(x+2)/(-1) = λ,   (y-3)/(-2) = λ,    (z-7)/(-3) = λ
(x+2)/(1) =  (y-3)/(2) =  (z-7)/(3) 

Test: Cartesian Equation Of A Line - Question 5

The vector form of the equation is. The Cartesian equation of the line is:

Test: Cartesian Equation Of A Line - Question 6

Let the coordinates of the given point A be (x1, y1, z1) and the direction ratios of the line be a, b, c. If the co-ordinates of any point P is (x, y, z), then the equation of the line in Cartesian form is:

Test: Cartesian Equation Of A Line - Question 7

Let  be a position vector of A with respect to the origin O and  be a position vector of an arbitrary point. The equation of line which passes through A and parallel to a vector  is:

 

Test: Cartesian Equation Of A Line - Question 8

The Cartesian equation of the line passing through the points (-3, 1, 0) and (1, 2, 3) is:

Test: Cartesian Equation Of A Line - Question 9

The Cartesian equation of the line which passes through the origin and parallel to the line  , is given by

Test: Cartesian Equation Of A Line - Question 10

Find the Cartesian equation of the line that passes through the point (-3,-4,-2) and (3,4,2).

209 videos|443 docs|143 tests
Information about Test: Cartesian Equation Of A Line Page
In this test you can find the Exam questions for Test: Cartesian Equation Of A Line solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Cartesian Equation Of A Line, EduRev gives you an ample number of Online tests for practice

Up next

Download as PDF

Up next