1 00:00:00,720 --> 00:00:06,840 Let's do this question, the equation of the line bisecting the line segment joining trigonometry and 2 00:00:06,840 --> 00:00:13,880 minus three comma one and having its intercepts on the x axis and Y axis in the ratio threes to two. 3 00:00:14,010 --> 00:00:14,420 All right. 4 00:00:14,640 --> 00:00:15,540 What's the video? 5 00:00:15,750 --> 00:00:18,180 Give it a try and then let's do it together. 6 00:00:18,570 --> 00:00:18,990 All right. 7 00:00:18,990 --> 00:00:19,440 We're back. 8 00:00:19,470 --> 00:00:20,440 Let's do it together. 9 00:00:20,850 --> 00:00:27,180 Now, the given line segment is this one right there, two points out, three, three and minus three, 10 00:00:27,180 --> 00:00:28,090 comma one. 11 00:00:28,410 --> 00:00:30,150 Now we need to find the midpoint. 12 00:00:30,150 --> 00:00:36,920 Right, because it's mentioned that the line which we need to find bisects this line segment over here 13 00:00:37,230 --> 00:00:44,240 to the midpoint over here will be three plus minus three by two and three plus one by two. 14 00:00:44,250 --> 00:00:44,580 Right. 15 00:00:45,210 --> 00:00:48,600 So that's three minus three by two and three plus one by two. 16 00:00:48,870 --> 00:00:51,180 So you get zero two over here, right. 17 00:00:51,360 --> 00:00:55,500 So whatever line we need to find has to pass through zero two. 18 00:00:55,650 --> 00:00:56,100 All right. 19 00:00:56,280 --> 00:00:58,740 Now let's check from the answer options. 20 00:00:58,890 --> 00:01:05,130 If there is something that we can eliminate now over here, if you substitute zero two, that's zero 21 00:01:05,130 --> 00:01:07,260 plus three, the two, that's equal to six. 22 00:01:07,260 --> 00:01:08,700 So we can't eliminate options. 23 00:01:09,090 --> 00:01:10,170 What about option B? 24 00:01:10,680 --> 00:01:13,830 Zero in three zero plus two in the two is four, right. 25 00:01:13,860 --> 00:01:16,800 Zero plus four is four, and that's not equal to six. 26 00:01:16,980 --> 00:01:22,230 Therefore, this point over here does not lie on three X plus two equals six. 27 00:01:22,440 --> 00:01:24,190 So we eliminate option B.. 28 00:01:24,480 --> 00:01:25,680 What about option C? 29 00:01:26,070 --> 00:01:31,740 Zero plus three in the two is six, so we can't eliminate it over here, although zero plus three into 30 00:01:31,740 --> 00:01:32,430 two is six. 31 00:01:32,610 --> 00:01:34,290 So we can't eliminate optionally. 32 00:01:34,530 --> 00:01:35,830 All right, let's proceed. 33 00:01:36,030 --> 00:01:42,810 Now it's mentioned that the intercepts on the x axis and Y axis are in the ratio three to two right 34 00:01:42,990 --> 00:01:43,260 now. 35 00:01:43,260 --> 00:01:50,940 Remember, we had learned that we can write the equation of a line in the form X by M plus Y baby is 36 00:01:50,940 --> 00:01:51,630 equal to one. 37 00:01:51,780 --> 00:01:57,170 And if we do that, it will be the X intercept and we will be the Y intercept. 38 00:01:57,180 --> 00:02:01,350 Right now, let's write this equation in option E in this format. 39 00:02:01,530 --> 00:02:05,460 So we get X by six plus Y by two is equal to one. 40 00:02:05,460 --> 00:02:05,780 Right. 41 00:02:06,040 --> 00:02:09,060 Therefore the ratio of the intercept is six is to two. 42 00:02:09,270 --> 00:02:10,470 That's three to one. 43 00:02:10,710 --> 00:02:13,110 But the given ratio is three is to two. 44 00:02:13,290 --> 00:02:15,180 Therefore this option is wrong. 45 00:02:15,300 --> 00:02:15,650 Right. 46 00:02:16,200 --> 00:02:16,550 All right. 47 00:02:16,800 --> 00:02:18,420 Now what about option C? 48 00:02:18,450 --> 00:02:24,480 Let's write it in this format, you get X divided by six by five, plus Y by two is equal to one. 49 00:02:24,660 --> 00:02:30,450 Therefore, the ratio is six by five is to two or six is 210 or three is to five. 50 00:02:30,450 --> 00:02:33,510 All of these are the same rate and therefore this is also wrong. 51 00:02:33,510 --> 00:02:35,790 It's three is to two that we do need. 52 00:02:36,000 --> 00:02:37,280 Now what about option de? 53 00:02:37,530 --> 00:02:40,980 I can write to us X by three plus Y Y two is equal to one. 54 00:02:41,190 --> 00:02:44,760 And over here the ratio of the intercept is three is to two. 55 00:02:44,910 --> 00:02:49,020 And hence the correct answer to this question is option de.