Plot the locus points for x = y
1 answer:
The the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
<h3>What is the general equation of a Straight line?</h3>The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
x = y
We have the function -
y = x
Now, we can define locus as -
A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.
This equation -
y = x
is a straight line.
Refer to the graph attached.
The slope of the line is [m] = 1
The [y] intercept is at [c] = 0
Therefore, the the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
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Answer:
c) r= 2sin θ
Step-by-step explanation:
Remember,
therefore,
Also y= rsin θ
Given rectangular equation:
x²+y²+ 2y
r²= 2(rsin θ)
r²= 2rsin θ
dividing r from both sides
r= 2sin θ
Scientific notation uses expression which gives easy access of order. The scientific notation of given number is: Option A: 1.6E-8
<h3>How to convert a number to scientific notation?</h3>It is usually of the form exponent of 10 starts)
(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)
This notation is used to get some idea of how large or small a number is in terms of power of 10.
<h3>What are some basic properties of exponentiation?</h3>If we have then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
The given number is converted in scientific notation as:
Thus, the scientific notation of given number is: Option A: 1.6E-8
Learn more about scientific notation here:
brainly.com/question/3112062