Show that there are two lines which pass through the point a(3, 7) and the sum of whose intercept on the co ordinate x is zero. draw the rough sketch of these two lines
Answers
The proof is given below:
We know that equation of the line whose x and y intercepts are a and b is
Since the sum of the intercepts is zero
Therefore,
Thus, the equation of the line becomes
Since this line passes through point (3, 7)
Therefore, this point will satisfy the equation of the line
Thus,
Hence, the equation becomes
or,
Case II can be when the intercepts on the both axis are itself zero
In this case a = b = 0
Thus, the equation will be of the form
Since this line will also pass through (3, 7)
Therefore,
Therefore the equation is
or,
The sketch is attached.
Hope this answer is helpful.
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