Q. 103.9( 7 Votes )

The vertices of a

Answer :

Given: the two diagonals of the quadrilateral with vertex A (-2, 6), B(1, 2), C(10, 4) and D(7, 8) are

AC and BD.


Concept Used:


The equation of the line passing through the two points ( x1, y1) and ( x2, y2).


To find:


The equation of diagonal of the quadrilateral.


Explanation:


The equation of AC passing through A (-2, 6) and C (10, 4) is


Formula used:


y – 6 (x + 2)


x + 6y – 34 = 0


And the equation of AC passing through, B (1, 2) and D(7, 8) is


Formula used:


y – 2 (x – 1)


x – y + 1 = 0


Hence, the equation of the diagonal are x + 6y – 34 = 0 and x – y + 1 = 0


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