Q. 55.0( 2 Votes )

# Find the equation of the line mid-way between the parallel lines 9x + 6y – 7 = 0 and 3x + 2y + 6 = 0.

Answer :

__Given:__

9x + 6y – 7 = 0 and 3x + 2y + 6 = 0 are parallel lines

__To find:__

The equation of the line mid-way between the givens line

Explanation:

The given equations of the lines can be written as:

… (1)

3x + 2y + 6 = 0 … (2)

Let the equation of the line midway between the parallel lines (1) and (2) be

3x + 2y + λ = 0 … (3)

The distance between (1) and (3) and the distance between (2) and (3) are equal.

Equation of the required line:

⇒ 18x + 12y + 11 = 0

Hence, equation of required line is 18x + 12y + 11 = 0.

Rate this question :

Find the distance between the parallel lines 8x + 15y – 36 = 0 and 8x + 15y + 32 = 0.

RS Aggarwal - MathematicsWrite the distance the lines 4x + 3y – 11 = 0 and 8x + 6y – 15 = 0.

RD Sharma - MathematicsFind the equation of two straight lines which are parallel to x + 7y + 2 = 0 and at unit distance from the point (1, -1).

RD Sharma - MathematicsDetermine the distance between the following pair of parallel lines:

4x – 3y – 9 = 0 and 4x – 3y – 24 = 0

RD Sharma - MathematicsFind the equation of the line mid-way between the parallel lines 9x + 6y – 7 = 0 and 3x + 2y + 6 = 0.

RD Sharma - MathematicsDetermine the distance between the following pair of parallel lines:

8x + 15y – 34 = 0 and 8x + 15y + 31 = 0

RD Sharma - MathematicsDetermine the distance between the following pair of parallel lines:

4x + 3y – 11 = 0 and 8x + 6y = 15

RD Sharma - MathematicsThe equations of two sides of a square are 5x – 12y – 65 = 0 and 5x – 12y + 26 = 0. Find the area of the square.

RD Sharma - Mathematics