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Test: Cartesian Equation Of A Line - JEE MCQ


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10 Questions MCQ Test - Test: Cartesian Equation Of A Line

Test: Cartesian Equation Of A Line for JEE 2024 is part of JEE 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.
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Test: Cartesian Equation Of A Line - Question 1
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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
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Find the vector equation of the line that passes through the origin and (-6,2,1).

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Test: Cartesian Equation Of A Line - Question 3
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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
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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
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The vector form of the equation is. The Cartesian equation of the line is:
Test: Cartesian Equation Of A Line - Question 6
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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
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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
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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
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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
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Find the Cartesian equation of the line that passes through the point (-3,-4,-2) and (3,4,2).
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