Q. 2 B3.5( 4 Votes )
Find the equations to the sides of the triangles the coordinates of whose angular points are respectively:
(0,1), (2, 0) and (-1, - 2)
Answer :
Given:
Points A (0, 1), B(2, 0) and C(-1, -2).
Assuming:
m1, m2 and m3 be the slope of the sides AB, BC and CA, respectively.
Concept Used:
The slope of the line passing through the two points ( x1, y1) and ( x2, y2).
The equation of the line passing through the two points ( x1, y1) and ( x2, y2).
To find:
The equation of sides of the triangle.
Explanation:
m1
m2
, m3
m1
, m2
and m3= 3
So, the equation of the sides AB, BC and CA are
Formula used: y – y1= m (x – x1)
, 
and y + 2 = 3(x+1)
⇒ x + 2y = 2, 2x – 3y =4 and 3x – y +1 = 0
Hence, equation of sides are x + 2y = 2, 2x – 3y =4 and 3x – y +1 = 0
Rate this question :
Various Forms of Equations of line45 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Parametric Equations of Straight line48 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a line43 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 1169 mins
The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is
RD Sharma - MathematicsFind the equations of the diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1.
RD Sharma - MathematicsFind the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x + 3y = 6 which is intercepted between the axes.
RD Sharma - MathematicsFind the equation of the straight line which passes through the point P(2, 6) and cuts the Coordinates axes at the point A and B respectively so that 
.
Find the equation of the line passing through the point ( – 3, 5) and perpendicular to the line joining (2, 5) and ( – 3, 6).
RD Sharma - MathematicsFind the equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9
RD Sharma - MathematicsFind the equation of the right bisector of the line segment joining the points (3, 4) and ( – 1, 2).
RD Sharma - MathematicsFind the equations to the altitudes of the triangle whose angular points are A (2, – 2), B(1, 1), and C ( – 1, 0).
RD Sharma - Mathematics