Find the equations of the diagonals of a rectangle whose sides are: x = –1, x = 4, y = –1 and y = 2.
Straight Line Eq
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Question

Find the equations of the diagonals of a rectangle whose sides are: x = –1, x = 4, y = –1 and y = 2.

KnowledgeBoat · Accepted Answer

From figure, The lines intersect at point I, J, K and L. By two point formula, Equation of line : Equation of diagonal IK is Equation of diagonal LJ is ⇒ y - (-1) = [x - (-1)] ⇒ y - (-1) = [x - (-1)] ⇒ 5(y + 1) = 3[x + 1] ⇒ 5y + 5 = 3x + 3 ⇒ 5y − 3x + 5 − 3 = 0 ⇒ 5y - 3x + 2 = 0 ⇒ 3x - 5y = 2. Hence, equation of diagonals are 3x - 5y = 2 and 3x + 5y = 7.

Mathematics

Find the equations of the diagonals of a rectangle whose sides are: x = –1, x = 4, y = –1 and y = 2.

Straight Line Eq

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