According to ques,: The equation is perpendicular to: \[~\surd 3x\text{ }\text{ }y\text{ }+\text{ }5\text{ }=\text{ }0~\] equation and cuts off an intercept of 4 units with the negative direction of...
Find the equations of the altitudes of a ΔABC whose vertices are A (1, 4), B (-3, 2) and C (-5, -3).
According to ques,: The vertices of ∆ABC are A (1, 4), B (− 3, 2) and C (− 5, − 3). Now let us find the slopes of ∆ABC. \[Slope\text{ }of\text{ }AB\text{ }=\text{ }\left[ \left( 2\text{ }\text{ }4...
Find the equation of the perpendicular bisector of the line joining the points (1, 3) and (3, 1).
According to ques,: A (1, 3) and B (3, 1) be the points joining the perpendicular bisector Let C be the midpoint of AB. hence, coordinates of C \[=\text{ }\left[ \left( 1+3 \right)/2,\text{ }\left(...
Find the equation of a line passing through (3, -2) and perpendicular to the line x – 3y + 5 = 0.
According to ques,: The equation of the line perpendicular to: \[~x~-~3y\text{ }+\text{ }5\text{ }=\text{ }0\] is \[3x\text{ }+\text{ }y\text{ }+~\lambda ~=\text{ }0,\] Where, λ is a constant. It...
Find the equation of a line passing through the point (2, 3) and parallel to the line 3x– 4y + 5 = 0.
Given: The equation of the line parallel to: \[3x~-~4y\text{ }+\text{ }5\text{ }=\text{ }0\] is \[3x\text{ }\text{ }4y\text{ }+~\lambda ~=\text{ }0,\] Where, λ is a constant. It passes through...