Let's do this question, the equation of the line bisecting the line segment joining trigonometry and
minus three comma one and having its intercepts on the x axis and Y axis in the ratio threes to two.
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Let's do it together.
Now, the given line segment is this one right there, two points out, three, three and minus three,
comma one.
Now we need to find the midpoint.
Right, because it's mentioned that the line which we need to find bisects this line segment over here
to the midpoint over here will be three plus minus three by two and three plus one by two.
Right.
So that's three minus three by two and three plus one by two.
So you get zero two over here, right.
So whatever line we need to find has to pass through zero two.
All right.
Now let's check from the answer options.
If there is something that we can eliminate now over here, if you substitute zero two, that's zero
plus three, the two, that's equal to six.
So we can't eliminate options.
What about option B?
Zero in three zero plus two in the two is four, right.
Zero plus four is four, and that's not equal to six.
Therefore, this point over here does not lie on three X plus two equals six.
So we eliminate option B..
What about option C?
Zero plus three in the two is six, so we can't eliminate it over here, although zero plus three into
two is six.
So we can't eliminate optionally.
All right, let's proceed.
Now it's mentioned that the intercepts on the x axis and Y axis are in the ratio three to two right
now.
Remember, we had learned that we can write the equation of a line in the form X by M plus Y baby is
equal to one.
And if we do that, it will be the X intercept and we will be the Y intercept.
Right now, let's write this equation in option E in this format.
So we get X by six plus Y by two is equal to one.
Right.
Therefore the ratio of the intercept is six is to two.
That's three to one.
But the given ratio is three is to two.
Therefore this option is wrong.
Right.
All right.
Now what about option C?
Let's write it in this format, you get X divided by six by five, plus Y by two is equal to one.
Therefore, the ratio is six by five is to two or six is 210 or three is to five.
All of these are the same rate and therefore this is also wrong.
It's three is to two that we do need.
Now what about option de?
I can write to us X by three plus Y Y two is equal to one.
And over here the ratio of the intercept is three is to two.
And hence the correct answer to this question is option de.