Is the following relation a function?
2 answers:
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Answer:
The correct answer is "9√2 units".
Step-by-step explanation:
The given equations are:
⇒ ...(equation 1)
⇒ ...(equation 2)
According to the 2nd equation, we get
⇒
⇒
On substituting the value of "y" in the 1st equation, we get
⇒
On taking common, we get
On applying factorization, we get
or,
Now,
The points are:
(-7, 12) = (x₁, y₁)
(2, 3) = (x₂, y₂)
By using the distance formula, the length of chord will be:
=
On substituting the values in the above formula, we get
=
=
=
= units
The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.