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The distance of the point (3, 4, 5) from X- axis is
- a)√41
- b)3
- c)5
- d)√34
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)...
x is 3 units to the right from (0, 4, 5)
y is 4 units upwards from (3, 0, 5)
z is 5 units inwards from (3, 4, 0)
Note that the x-axis has the equation ‘y=0, z=0’, because the axis is horizontal and always has a y and z values of 0 for all x.
Therefore, the distance of point P(3,4,5) from X-axis is the hypotenuse of the triangle formed by the upward and inward movement along y and z-axis, which can be found using Pythagoras’ Theorem:
sqrt(52 + 42 ) = sqrt(41)
The distance is the square root of 41.
y is 4 units upwards from (3, 0, 5)
z is 5 units inwards from (3, 4, 0)
Note that the x-axis has the equation ‘y=0, z=0’, because the axis is horizontal and always has a y and z values of 0 for all x.
Therefore, the distance of point P(3,4,5) from X-axis is the hypotenuse of the triangle formed by the upward and inward movement along y and z-axis, which can be found using Pythagoras’ Theorem:
sqrt(52 + 42 ) = sqrt(41)
The distance is the square root of 41.
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The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer?.
The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance of the point (3, 4, 5) from X- axis isa)√41b)3c)5d)√34Correct answer is option 'A'. Can you explain this answer?.
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