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The equation of the plane through the point (-1, 2, 0) and parallel to the line
- a)2x +3y + 6z - 4 = 0
- b)x -2y +3z +5 = 0
- c)x + y -3z +1= 0
- d)2x + y + 6z = 0
Correct answer is option 'D'. Can you explain this answer?
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The equation of the plane through the point (-1, 2, 0) and parallel to...
P(-1,2,0) = -i + 2j
L1 = x/3 = (y+1)/0 = (z-2)/(-1)
a = 3i + 0j - k
L2 = (x-1)/1 = 2(y+½)/2 = 2(z+½)/(-1)
b = i + j - k/2
Plane is parallel to a ⇒ n is perpendicular to a
Plane is parallel to b ⇒ n is perpendicular to b
n = a * b = {(3, 0, -1) (1,1, -½)}
= i(0+1) -j(-3/2+1) +k(3-0)
= i + 1/2j + 3k
PR = R - P = (x+1)i + (y-z)j + zk
PR. n = 0
(x+1)*1 + (y-z)*½ + z*3 = 0
x+1 + y/2 - 1 + 3z = 0
x + y/2 + 3z = 0
2x + y + 6z = 0
L1 = x/3 = (y+1)/0 = (z-2)/(-1)
a = 3i + 0j - k
L2 = (x-1)/1 = 2(y+½)/2 = 2(z+½)/(-1)
b = i + j - k/2
Plane is parallel to a ⇒ n is perpendicular to a
Plane is parallel to b ⇒ n is perpendicular to b
n = a * b = {(3, 0, -1) (1,1, -½)}
= i(0+1) -j(-3/2+1) +k(3-0)
= i + 1/2j + 3k
PR = R - P = (x+1)i + (y-z)j + zk
PR. n = 0
(x+1)*1 + (y-z)*½ + z*3 = 0
x+1 + y/2 - 1 + 3z = 0
x + y/2 + 3z = 0
2x + y + 6z = 0
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The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer?
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The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer?.
The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the plane through the point (-1, 2, 0) and parallel to the linea)2x +3y + 6z - 4 = 0b)x -2y +3z +5 = 0c)x + y -3z +1= 0d)2x + y + 6z = 0Correct answer is option 'D'. Can you explain this answer?.
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