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CO-ORDINATE GEOMETRY : Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
Example:
Find the points on the y axis whose distances from the points (6, 7) and (4,-3) are in the ratio 1:2. [Ans:(0, 9) , (0,35/3 )]
Ans: Point on y-axis (0, y)
A(6, 7) B(4, -3) ratio 1:2
(62 + (7 - y)2)/42 + (-3 - y)2 =(1/2)2
On solving we get (0, 9) & (0, 35/3 )
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
1 1/3:2/3:1/6
Sin129
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , x n ) obtain
1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia
Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec
A farmer has a rectangular field of length 100m and breadth 70m. He leaves a path of 1m all along the boundary inside it. He decides to apply a manure to the remaining part of the
what is commercial mathematics profit and loss
I am the least two digit number which round off to 100?
A triangle has vertices A (-1, 3, 4) B (3, -1, 1) and C (5, 1, 1). The area of ABC is a) 30.1 b) 82.1 c) 9.1 d) 52.1
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