Q. 45.0( 5 Votes )

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Answer :

To Find: The equation of the line passing through (3, -5) and cuts off intercepts on the axes which are equal in magnitude but opposite in sign.


Given : Let a and b be two intercepts of x-axis and y-axis respectively.


According to the question a = -b or b = -a


And (3 , -5) passes through the point (x, y), thus satisfies the equation


Formula used:


Now since intercept form of the line is given by , = 1


= 1


= 1


a = 8 and b= -8


Equation of the line is = 1


Hence ,the required equation of the line is = 1 x– y = 8


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