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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What is the area of triangle with vertices A(0,5), B(0,0) and C(5,0)?
Anonymous Quiz
14%
13 square units.
27%
26 square units.
31%
15 square units.
28%
12. 5 square units.
Let A and B be 2 × 2 matrices with det(A) = 3 and det(B) = 2. Then what is the value of det(2AB)?
Anonymous Quiz
41%
24
49%
12
8%
10
1%
16
❤3
If the determinate of the given matrix is zero then the matrix is:
Anonymous Quiz
30%
Singular matrix
21%
Non-singular matrix
24%
Invertible matrix
26%
Can not be determined
🥰3
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
❤4
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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
❤1
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
❤3
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
❤4
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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