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If A = (3,-4) , B= (7,0) and C = (14 , -7) are the three consecutive vertices of a parallelogram ABCD , then find the slope of the diagonal BD . The following are the steps involved in solving the above problem . Arrange them is sequential order (A) `((x + 7)/(2) , (y + 0)/(2)) = ((3 + 14)/(2) , (-4-7)/(2))`. (B) The slope of BD = `(-11-0)/(10-7) = (-11)/(3)`. (C) `(x+7)/(2) = (17)/(2)` and `(y+0)/(2) - (-11)/(2)` `implies x = 10 , y = -11` `therefore D = (10 , -11)`. (D) Let the fourth vertex be D(x , y) . we know that the diagonals of a parallelogram bisect each other .A. AOCBB. DCABC. DACBD. CDAB |
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Answer» Correct Answer - C DACB is the required sequential order. |
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