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The equation of the line having normal distance 2a from the origin and angle 60° which the normal makes with the positive direction of X-axis is:

  • a)
    x + √2y = 5a

  • b)
    x + √3y = 4a

  • c)
    x + 4y +5 = 0

  • d)
    x + 2y = 3a

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The equation of the line having normal distance 2a from the origin and...
We know that, If p is the length of the normal from origin to a line and w is the angle made by the normal with the positive direction of x-axis then the equation of the line is given by xcosw + ysinw = p.
Here, p=2a units and w=60°
Thus, the required equation of the given line is 
xcos60° + ysin60° = 2a
x(1/2) + y(√3/2) = 2a
x + √3y = 4a
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Most Upvoted Answer
The equation of the line having normal distance 2a from the origin and...
We know that, If p is the length of the normal from origin to a line and w is the angle made by the normal with the positive direction of x-axis then the equation of the line is given by xcosw + ysinw = p.
Here, p=2a units and w=60°
Thus, the required equation of the given line is 
xcos60° + ysin60° = 2a
x(1/2) + y(√3/2) = 2a
x + √3y = 4a
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Community Answer
The equation of the line having normal distance 2a from the origin and...
X + √3y = 4a , bcoz eqn is given by

x cosθ + y sinθ = p

where theta is the angle made by the line with the positive direction of x-axis and p is the perpendicular distance of the line from the origin.

Now substitute the values and get the answer.
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The equation of the line having normal distance 2a from the origin and angle 60° which the normal makes with the positive direction of X-axis is:a)x +√2y = 5ab)x +√3y = 4ac)x + 4y +5 = 0d)x + 2y = 3aCorrect answer is option 'B'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The equation of the line having normal distance 2a from the origin and angle 60° which the normal makes with the positive direction of X-axis is:a)x +√2y = 5ab)x +√3y = 4ac)x + 4y +5 = 0d)x + 2y = 3aCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the line having normal distance 2a from the origin and angle 60° which the normal makes with the positive direction of X-axis is:a)x +√2y = 5ab)x +√3y = 4ac)x + 4y +5 = 0d)x + 2y = 3aCorrect answer is option 'B'. Can you explain this answer?.
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