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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 )
a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a
1. Let R and S be relations on a set A. For each statement, conclude whether it is true or false. In each case, provide a proof or a counterexample, whichever applies. (a) If R
sin3xcos5xdx
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what are cos and sin ?
The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out
Marty used the subsequent mathematical statement to show he could change an expression and still get the similar answer on both sides: 10 × (6 × 5) = (10 × 6) × 5 Which mathematica
Reflexive Relations: R is a reflexive relation if (a, a) € R, a € A. It could be noticed if there is at least one member a € A like (a, a) € R, then R is not reflexive. Sy
Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri
compare 643,251;633,512; and 633,893. The answer is 633,512
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