Question
The equation of a line is 2x - 3y = 12. Find the
perpendicular distance of the point (4, 5) from this line.Solution
The formula for the perpendicular distance of a point (x1, y1) from a line Ax + By + C = 0 is: Distance = |Ax1 + By1 + C| / √(A² + B²). For the line 2x - 3y = 12, rewrite it as 2x - 3y - 12 = 0. Substitute x1 = 4 and y1 = 5: Distance = |2(4) - 3(5) - 12| / √(2² + (-3)²) = |8 - 15 - 12| / √(4 + 9) = |-19| / √13 = 19 / √13 ≈ 5.27 units.
Select the correct Antonym of the given word.
adversary
A person who is absolutely necessary for someone or something
Find the word with the appropriate similar meaning of the word in Italic from the options given:
The CEO appreciated the manager's astute decis...
Find out the wrongly spelt word and mark that option as the answer.
Find the appropriate answer.
Select the most appropriate synonym of the given word
Profuse
Person who is nervous and shy
out of the four alternatives, choose the one which best expresses the meaning of the given word and indicate your correct answer.
Select the most appropriate ANTONYM of the given word.
Jovial
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