Maths Group11
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The main purposes of this channel are to:
1. 📝 Provide various Mathematics questions and exercises.
2. 📚 Share and publish different educational books.
3. 📖 Provide useful short notes and study materials.

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If the diagonal elements of a certain upper triangular matrix are 4, 5 and -1. Then what is the determinate of the matrix?
Anonymous Quiz
12%
8
27%
20
18%
-8
43%
-20
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Which one of the following is the derivative of the function f(x) = (x³ + 1)⁶?
Anonymous Quiz
11%
18x²(x³ + 1)⁴
49%
18x²(x³ + 1)⁵
34%
6(x³ + 1)⁵
5%
6(x³ + 1)⁴
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Which rule do we use to find the derivative of any composition functions like fog(x) ?
Anonymous Quiz
24%
Product rule
20%
Quotient rule
54%
Chain rule
3%
Sum rule
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Suppose g(x) = (4 - x²)f(x³ + 1). If f(0) = 3, and f'(0) = 2, then what is g'(-1)?
Anonymous Quiz
24%
24
32%
-12
34%
12
10%
-24
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If the given rational function is odd function then which of the following is true about the graph of the function?
Anonymous Quiz
37%
The graph is symmetrical about the origin
21%
The graph is symmetrical about the x-axis
24%
The graph is symmetrical about the y-axis
18%
The graph doesn't have any symmetric
Symmetry of the graph of rational functions.

There are only two symmetry of a rational functions. These are:
1. Even Symmetry (y-axis symmetry): A rational function  f(x)  is symmetric about the y-axis if  f(-x) = f(x)  for all  x  in the domain of the function. This means that the graph of the function will look the same on both sides of the y-axis.

2. Odd Symmetry (origin symmetry): A rational function  f(x)  is symmetric about the origin if  f(-x) = -f(x)  for all  x  in the domain of the function. This means that if you rotate the graph 180 degrees around the origin, it will look the same.

Rational functions cannot have symmetry about the x-axis, because that would violate the definition of a function (each input must correspond to exactly one output).
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If the area of the triangle with vertices (-2, 0), (2, 0) and (0, k) is 8 sq. Units, then what is the positive value of k?
Anonymous Quiz
21%
4
29%
16
41%
2
10%
8
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If the points (3, k), (k, 1) and (6, -1) are collinear, then what is the possible value of k?
Anonymous Quiz
25%
0
35%
1
21%
2
19%
3
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