Q9 of 319 Page 23

Point R (h, k) divided line segments between the axes in the ratio 1 : 2. Find the equation of the line.

Concept Used:


The equation of the line with intercepts a and b is


Given:


The line passes through R(h, k)


Explanation:


……(i)


The line intersects the coordinate axes at A(a, 0) and B( 0, b).


Here, AP : BP = 1 : 2



⇒a , b = 3k


Substituting, b = 3k in



⇒2kx + hy – 3hk = 0


Hence, the equation of the line is 2kx + hy – 3hk = 0


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