Q. 145.0( 3 Votes )

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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


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