Is the following number an integer? 30/6
2 answers:
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<h2>Here's the Solution to this Question</h2>
Given A
A relation is a function when every element of set A has image in B and a element of set A can-not have more than one image in set B.
So, Relation is a function.
(c) Given is a real valued function defined by
.
(I) Function is defined for all real values of . Hence,
Domain of
(ii) Now, as
Hence, Range of f=[−9,∞)
(iii) Representation of as a set of ordered pair =
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = and x = 1
Thus, we get coordinates: and (1, 4)
The y intercept is -12
so the equation is: y=4x-12
good luck
so the equation is: y=4x-12
good luck