1.Each vertex angle is 90°in________.
2.If a=3and b=2,then the value of ab-ba is __________.
3. The compound ratio of 3:4 and 2:3 is____________.
4.____________ is the mode of 10,12,11,9,11,10,15,20,11,10,19,9,11
5.what will be units digit in the square of 5125___________
Answers
Answer:
5 .the answer for your question is 5 whenever a number has 5 as it unit it it will also have 5 at its unit digit.
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Answer:
Q4 : Show that the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) are collinear.
Answer :
The given points are A (2, 3, 4), B (- 1, – 2, 1), and C (5, 8, 7).
It is known that the direction ratios of line joining the points, (x1, y1, z1) and (x2, y2, z2), are given by, x2 – x1, y2 – y1, and z2 – z1.
The direction ratios of AB are (-1 – 2), (-2 – 3), and (1 – 4) i.e., -3, -5, and -3.
The direction ratios of BC are (5 – (- 1)), (8 – (- 2)), and (7 – 1) i.e., 6, 10, and 6.
It can be seen that the direction ratios of BC are -2 times that of AB i.e., they are proportional.
Therefore, AB is parallel to BC. Since point B is common to both AB and BC, points A, B, and C are collinear.