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CBSE Class 10 Answered

If the points A(6,1), B(8,2), C(9,4), D(p,3) are the vertices of a parallelogram , taken in order , find the value of p.
Asked by gayatrivardani2002 | 13 Nov, 2016, 09:13: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given space that space ABCD space is space straight a space parallelogram. If space the space points space straight A left parenthesis 6 comma 1 right parenthesis comma space straight B left parenthesis 8 comma 2 right parenthesis comma space straight C left parenthesis 9 comma 4 right parenthesis comma space straight D left parenthesis straight p comma 3 right parenthesis space are space the space vertices space of space straight a space parallelogram We space know space that space the space diagonals space of space straight a space parallelogram space bisect space eachother. So comma space the space coordinates space of space the space mid minus space point space AC space equals space the space coordinates space of space the space mid minus point space BD rightwards double arrow open parentheses fraction numerator 6 plus 9 over denominator 2 end fraction comma fraction numerator 1 plus 4 over denominator 2 end fraction close parentheses equals open parentheses fraction numerator 8 plus straight p over denominator 2 end fraction comma fraction numerator 2 plus 3 over denominator 2 end fraction close parentheses rightwards double arrow open parentheses 15 over 2 comma 5 over 2 close parentheses equals open parentheses fraction numerator 8 plus straight p over denominator 2 end fraction comma 5 over 2 close parentheses rightwards double arrow 15 over 2 space equals fraction numerator 8 plus straight p over denominator 2 end fraction rightwards double arrow 15 equals 8 plus straight p rightwards double arrow straight p equals 7 end style
Answered by Rebecca Fernandes | 13 Nov, 2016, 11:30: PM

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CBSE 10 - Maths
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