Q. 145.0( 3 Votes )
Find the equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9
Answer :
Concept Used:
The equation of the line with intercepts a and b is 
Given:
Here, a+b = 9
Explanation:
⇒ b = 9 – a ……(i)
The line is passing through (2, 2).
……(ii)
From equation (i) and (ii)
⇒18 – 2a + 2a = 9a – a2
⇒a2 – 9a +18 = 0
⇒ (a – 3)(a – 6) = 0
⇒a = 3, 6
For a = 3, b = 9 – 3 = 6
For a = 6, b = 9 – 6 = 3
Thus the equation of line is
or 
⇒2x + y = 6 or x + 2y = 6
Hence, the equation of line is 2x + y = 6 or x + 2y = 6
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