Q. 65.0( 4 Votes )
By using the concept of the equation of a line, prove that the three points (- 2, - 2), (8, 2) and (3, 0) are collinear.
Answer :
Given: points be A (-2, 2), B (8, 2) and C(3,0).
To prove:
Points (- 2, - 2), (8, 2) and (3, 0) are collinear.
Explanation:
The equation of the line passing through A (-2,-2) and B (8, 2) is
Formula used: 
⇒ 5y + 10 = 2x + 4
⇒ 2x – 5y – 6 = 0
Clearly, point C (3, 0) satisfies the equation 2x – 5y – 6 = 0
Hence Proved, the given points are collinear.
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