The points B(7, 3) and D(0, –4) are two opposite vertices of a rhombus ABCD. Find the equation of diagonal AC.
Straight Line Eq
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The points B(7, 3) and D(0, –4) are two opposite vertices of a rhombus ABCD. Find the equation of diagonal AC.

KnowledgeBoat · Accepted Answer

Slope of the line BD (m1), Diagonals of rhombus bisect each other at right angles. ∴ BD is perpendicular to AC. Let slope of AC be m2. ⇒ m1 × m2 = -1 ⇒ 1 × m2 = -1 ⇒ m2 = -1 Let O be the mid-point of diagonals. It's coordinates are given by, Equation of AC can be given by point slope form i.e., Hence, the equation of the required line is x + y = 3.

Mathematics

The points B(7, 3) and D(0, –4) are two opposite vertices of a rhombus ABCD. Find the equation of diagonal AC.

Straight Line Eq

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Mathematics

The points B(7, 3) and D(0, –4) are two opposite vertices of a rhombus ABCD. Find the equation of diagonal AC.

Straight Line Eq

Related Questions

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A(1, 4), B(3, 2) and C(7, 5) are the vertices of a ΔABC. Find :
(i) the co-ordinates of the centroid G of ΔABC
(ii) the equation of a line through G and parallel to AB