1 00:00:00,650 --> 00:00:08,240 Let's do this question three, your points, a common currency are such that Abe is equal to three B.C., 2 00:00:08,540 --> 00:00:14,180 the coordinates of A and B are three comma six and eight comma, minus two, respectively. 3 00:00:14,480 --> 00:00:16,790 Now we need to find the coordinates of. 4 00:00:17,390 --> 00:00:17,890 All right. 5 00:00:18,050 --> 00:00:21,530 Pause the video, give it a try and then let's do it together. 6 00:00:22,190 --> 00:00:22,640 All right. 7 00:00:22,640 --> 00:00:23,120 We're back. 8 00:00:23,300 --> 00:00:24,740 I hope you have given it a try. 9 00:00:24,950 --> 00:00:26,040 Let's do it together. 10 00:00:26,300 --> 00:00:29,360 Let me draw the axis and the points. 11 00:00:29,720 --> 00:00:31,090 So this is point eight. 12 00:00:31,220 --> 00:00:32,540 That's three comma six. 13 00:00:32,540 --> 00:00:32,860 Right. 14 00:00:32,870 --> 00:00:35,930 And this is point B, that's eight comma minus two. 15 00:00:36,140 --> 00:00:37,330 Now, let me join them. 16 00:00:38,060 --> 00:00:40,730 Now we need to find point C, right. 17 00:00:40,820 --> 00:00:45,920 Such that AB is equal to three B.C. Now C can be in two places. 18 00:00:45,920 --> 00:00:46,180 Right. 19 00:00:46,370 --> 00:00:51,170 It could be somewhere over here or it can be somewhere over here right now. 20 00:00:51,320 --> 00:00:59,570 If the point C is over here, then it means that this to this would be two is two one. 21 00:00:59,570 --> 00:01:04,060 Right this length ac to B would be two is to one. 22 00:01:04,070 --> 00:01:04,440 Right. 23 00:01:04,550 --> 00:01:05,150 Why is that. 24 00:01:05,150 --> 00:01:12,260 So that's because it's given that AB is equal to three B C right now. 25 00:01:12,260 --> 00:01:20,210 If Boise's over here, let me take CBS length X and then AB is equal to three X. 26 00:01:20,210 --> 00:01:20,570 Right. 27 00:01:20,870 --> 00:01:28,040 And from the diagram you can see that if AB is three X and Qutb's X, then AC it would be two X. 28 00:01:28,190 --> 00:01:35,840 That's why if C's over here then it means that C divide line segment AB in the ratio two is to one. 29 00:01:36,140 --> 00:01:41,030 All right, now we know how to find the coordinates of point C in this case. 30 00:01:41,030 --> 00:01:41,380 Right. 31 00:01:41,510 --> 00:01:48,390 That would be two in two, eight plus three divided by two plus one comma two in the minus two plus 32 00:01:48,390 --> 00:01:49,690 six by two plus one. 33 00:01:49,790 --> 00:01:50,180 Right. 34 00:01:50,390 --> 00:01:54,560 And that gives you on simplification. 35 00:01:54,740 --> 00:01:57,620 Nineteen by three comma two by three. 36 00:01:57,950 --> 00:02:01,640 Now you can see that this is not one of the options. 37 00:02:01,640 --> 00:02:02,020 Right. 38 00:02:02,240 --> 00:02:04,090 So that is not the answer. 39 00:02:04,100 --> 00:02:08,200 And remember in the question, it says that the coordinates of C can be. 40 00:02:08,480 --> 00:02:13,790 Now, if this was there in the option, it would have been the answer because this can be the coordinates, 41 00:02:13,970 --> 00:02:15,830 but we don't have this in the options. 42 00:02:16,070 --> 00:02:18,260 Therefore, this will be the answer. 43 00:02:18,260 --> 00:02:20,270 And we need to find this one over here. 44 00:02:20,520 --> 00:02:20,990 All right. 45 00:02:21,140 --> 00:02:22,190 Now let's proceed. 46 00:02:23,440 --> 00:02:26,300 Now we find this point over here. 47 00:02:26,570 --> 00:02:32,400 All right, now you can see that you actually do not need to solve and find this point. 48 00:02:32,410 --> 00:02:33,910 I will show you how to find it. 49 00:02:34,090 --> 00:02:40,150 But can you tell me why you don't need to solve the at this point and you can directly mark the answers 50 00:02:40,150 --> 00:02:46,810 option B, because visually you can see that this point over here will light in the fourth quadrant. 51 00:02:46,810 --> 00:02:47,110 Right. 52 00:02:47,260 --> 00:02:53,890 And there is only one solution, even among A, B and C and which is in the fourth quadrant, in the 53 00:02:53,890 --> 00:02:55,990 fourth quadrant, X is positive. 54 00:02:55,990 --> 00:02:56,350 Right. 55 00:02:56,530 --> 00:02:59,650 X is positive and Y is negative. 56 00:02:59,920 --> 00:03:02,560 And there is only one solution right over here. 57 00:03:02,560 --> 00:03:04,470 X is positive and why is positive. 58 00:03:04,660 --> 00:03:08,140 So it's not in the fourth quadrant in option C, both are negative. 59 00:03:08,150 --> 00:03:12,160 That's the third quadrant in option D, X is negative and Y is positive. 60 00:03:12,160 --> 00:03:13,320 That's the second quadrant. 61 00:03:13,570 --> 00:03:18,850 So only option B's in the fourth quarter and therefore directly without solving, you can mark the answer 62 00:03:18,850 --> 00:03:19,750 as option B.. 63 00:03:20,110 --> 00:03:24,680 Now let's proceed and see how you get this answer over here. 64 00:03:25,300 --> 00:03:34,390 Now, if Point C is over here, then can we say that A C divided by B, C is equal to four by one. 65 00:03:35,380 --> 00:03:36,760 Yes, we can say that, right? 66 00:03:36,970 --> 00:03:42,310 Why is that so it's given that a B is equal to three B C right over here. 67 00:03:42,310 --> 00:03:50,350 If A, B is three, ABC and BKS, X to A, B would be three X and A, C would be three X plus X. 68 00:03:50,500 --> 00:03:51,760 That's for X, right. 69 00:03:51,760 --> 00:03:52,240 AC. 70 00:03:53,690 --> 00:04:02,660 And c.B would be X, therefore CE device externally, the line segment B in the ratio or is to one, 71 00:04:02,840 --> 00:04:06,140 and then knowing this, we know how to find C, right? 72 00:04:06,140 --> 00:04:07,510 We just apply the formula. 73 00:04:07,760 --> 00:04:16,580 So the answer of C would be 14 to eight, minus six by four minus one comma or minus two, minus six 74 00:04:16,580 --> 00:04:17,670 by four minus one. 75 00:04:17,900 --> 00:04:22,840 And that simplifies to twenty six by three comma minus fourteen by three. 76 00:04:22,850 --> 00:04:24,590 And that is option B.. 77 00:04:24,590 --> 00:04:25,460 Over here.