Q43 of 59 Page 178

Fill in the blanks

The line which cuts off equal intercept from the axes and pass through the point (1, –2) is ____.

The equation of line in intercept form is:


where a and b are the intercepts on the axis.


Given that: a = b




⇒ x + y = a …(i)


If eq. (i) passes through the point (1, - 2), we get


1 + (-2) = a


⇒ 1 – 2 = a


⇒ a = -1


Putting the value of ‘a’ in eq. (i), we get


x + y = -1


⇒ x + y + 1 = 0


Ans. The line which cuts off equal intercept from the axes and pass through the point (1, –2) is x + y + 1.


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