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The line through the point (a, b) and parallel to the line Ax + By + C = 0 is:
- a)Ax + By + C (a + b) = 0
- b)Ax + By + k = 0
- c)Ax + Bb + (a + b) = 0
- d)A (x – a) + B (y – b) = 0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The line through the point (a, b) and parallel to the line Ax + By + C...
Equation of line passing through point (a,b) and parallel to line Ax + By + C = 0
(y-y1) = -A/B(x-x1)
(y-b) = -A/B(x-a)
A (x – a) + B (y – b) = 0
(y-y1) = -A/B(x-x1)
(y-b) = -A/B(x-a)
A (x – a) + B (y – b) = 0
Most Upvoted Answer
The line through the point (a, b) and parallel to the line Ax + By + C...
Eq. of line passing through a point (a, b) having slope 'm' I. e. (y-b)=-A/B(x-a)
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Community Answer
The line through the point (a, b) and parallel to the line Ax + By + C...
Explanation:
Given:
Point (a, b) and a line Ax + By + C = 0, which is parallel to the required line.
Formula:
The equation of a line parallel to Ax + By + C = 0 passing through the point (a, b) is given by A(x - a) + B(y - b) = 0.
Explanation of the formula:
- A and B are the coefficients of x and y in the given line equation.
- (a, b) is the given point through which the line passes.
- The formula represents the equation of a line parallel to the given line and passing through the given point.
Substitute the values:
Substitute the values of A, B, a, and b in the formula:
A(x - a) + B(y - b) = 0
=> A(x - a) + B(y - b) = 0
Final Answer:
Therefore, the line through the point (a, b) and parallel to the line Ax + By + C = 0 is represented by the equation A(x - a) + B(y - b) = 0. So, the correct answer is option 'D'.
Given:
Point (a, b) and a line Ax + By + C = 0, which is parallel to the required line.
Formula:
The equation of a line parallel to Ax + By + C = 0 passing through the point (a, b) is given by A(x - a) + B(y - b) = 0.
Explanation of the formula:
- A and B are the coefficients of x and y in the given line equation.
- (a, b) is the given point through which the line passes.
- The formula represents the equation of a line parallel to the given line and passing through the given point.
Substitute the values:
Substitute the values of A, B, a, and b in the formula:
A(x - a) + B(y - b) = 0
=> A(x - a) + B(y - b) = 0
Final Answer:
Therefore, the line through the point (a, b) and parallel to the line Ax + By + C = 0 is represented by the equation A(x - a) + B(y - b) = 0. So, the correct answer is option 'D'.
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Question Description
The line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. 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 line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. 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 line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. Can you explain this answer?.
The line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. 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 line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. 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 line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. Can you explain this answer?.
Solutions for The line through the point (a, b) and parallel to the line Ax + By + C = 0 is:a)Ax + By + C (a + b) = 0b)Ax + By + k = 0c)Ax + Bb + (a + b) = 0d)A (x – a) + B (y – b) = 0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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