A square PQRS has a vertex P(2, 3) and the
equation of the diagonal PR is x - 3y = 2. Find the
equation of two sides of the square through P.
Answers
MATHS
The point (−4,5) is the vertex of a square and one of its diagonals is 7x−y+8=0. The equation of the other diagonal is
December 20, 2019avatar
Saisha Che
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ANSWER
We know that the diagonals of a square intersects each other at right angle. Both are perpendicular.
We know that, equation of perpendicular line to 7x−y+8=0 is x+7y=λ ……… (1)
Which is passes through (−4,5)
Then,
−4+7(5)=λ
λ=31
So, by equation (1),
x+7y=31 (other diagonal equation )
hence, this is the answer.
option (B) is correct.
Answer:
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Step-by-step explanation:
We know that the diagonals of a square intersects each other at right angle. Both are perpendicular.
We know that, equation of perpendicular line to 7x−y+8=0 is x+7y=λ ……… (1)
Which is passes through (−4,5)
Then,
−4+7(5)=λ
λ=31
So, by equation (1),
x+7y=31 (other diagonal equation )
hence, this is the answer.