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The length of the perpendicular from the point (2, 5) on the line 4x – 3y +18 = 0 is
  • a)
    2.7
  • b)
    2.5
  • c)
    2.2
  • d)
    2.1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The length of the perpendicular from the point (2, 5) on the line 4x &...
To find the length of the perpendicular from a point to a line, we can use the formula:

Length of perpendicular = |Ax + By + C| / √(A^2 + B^2)

In the given equation of the line, 4x - 3y + 18 = 0, we can rewrite it in the form Ax + By + C = 0 as follows:

A = 4, B = -3, and C = 18

Substituting these values into the formula, we get:

Length of perpendicular = |4(2) - 3(5) + 18| / √(4^2 + (-3)^2)
= |8 - 15 + 18| / √(16 + 9)
= |11| / √25
= 11 / 5
= 2.2

Therefore, the correct answer is option 'C', which is 2.2.
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The length of the perpendicular from the point (2, 5) on the line 4x &...
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The length of the perpendicular from the point (2, 5) on the line 4x – 3y +18 = 0 isa)2.7b)2.5c)2.2d)2.1Correct answer is option 'C'. Can you explain this answer?
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