Find the equation of the perpendicular bisector of the line segment obtained on joining the points (6, -3) and (0, 3).

Let points be A(6, -3) and B(0, 3) and D be the mid-point of AB. Co-ordinates of D = = (3, 0). Slope of AB = = -1. Let slope of perpendicular bisector be m. Then ⇒ m × Slope of AB = -1 ⇒ m × -1 = -1 ⇒ m = 1. Perpendicular bisector of AB will pass through mid-point of AB i.e. D. By point-slope form, ⇒ y - y 1 = m(x - x 1 ) ⇒ y - 0 = 1(x - 3) ⇒ y = x - 3. Hence, equation of the perpendicular bisector of the line segment obtained on joining the points (6, -3) and (0, 3) is y = x - 3.

Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1).

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Find the equation of the line passing through (-2, 1) and perpendicular to 4x + 5y = 6.

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B(-5, 6) and D(1, 4) are the vertices of rhombus ABCD. Find the equations of diagonals BD and AC.

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A(1, -5), B(2, 2) and C(-2, 4) are the vertices of triangle ABC. Find the equation of :
(i) the median of the triangle through A.
(ii) the altitude of the triangle through B.
(iii) the line through C and parallel to AB.

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Mathematics

Find the equation of the perpendicular bisector of the line segment obtained on joining the points (6, -3) and (0, 3).

Straight Line Eq

Related Questions

Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1).

Find the equation of the line passing through (-2, 1) and perpendicular to 4x + 5y = 6.

B(-5, 6) and D(1, 4) are the vertices of rhombus ABCD. Find the equations of diagonals BD and AC.

A(1, -5), B(2, 2) and C(-2, 4) are the vertices of triangle ABC. Find the equation of :
(i) the median of the triangle through A.
(ii) the altitude of the triangle through B.
(iii) the line through C and parallel to AB.

Mathematics

Find the equation of the perpendicular bisector of the line segment obtained on joining the points (6, -3) and (0, 3).

Straight Line Eq

Related Questions

Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1).

Find the equation of the line passing through (-2, 1) and perpendicular to 4x + 5y = 6.

B(-5, 6) and D(1, 4) are the vertices of rhombus ABCD. Find the equations of diagonals BD and AC.

A(1, -5), B(2, 2) and C(-2, 4) are the vertices of triangle ABC. Find the equation of :(i) the median of the triangle through A.(ii) the altitude of the triangle through B.(iii) the line through C and parallel to AB.

A(1, -5), B(2, 2) and C(-2, 4) are the vertices of triangle ABC. Find the equation of :
(i) the median of the triangle through A.
(ii) the altitude of the triangle through B.
(iii) the line through C and parallel to AB.