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23 votes
23 votes
Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.

User Sdedelbrock
by
3.1k points

1 Answer

18 votes
18 votes

Answer:

The correct answer is "9√2 units".

Explanation:

The given equations are:


image...(equation 1)


image...(equation 2)

According to the 2nd equation, we get


image


image

On substituting the value of "y" in the 1st equation, we get


image


image


image


image

On taking common, we get


image

On applying factorization, we get


image


image


image


image


image

or,


image


image

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

=
image

On substituting the values in the above formula, we get

=
image

=
image

=
image

=
image units

User Gopal Singh Sirvi
by
3.3k points