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CBSE Class 10 Answered

if a(1,1),b(7,-3),c(x,y),d(7,10) are the verticles of a quadrilateral abcd. if x coordinates of point 'c' is 6 times of the y-coordinates of point 'c' and area of triangle abc is 25 square units .find the value of x and y
question image
Asked by chuttichandupavan | 23 May, 2019, 03:46: PM
answered-by-expert Expert Answer
A left parenthesis 1 comma 1 right parenthesis comma space B left parenthesis 7 comma negative 3 right parenthesis space a n d space C left parenthesis x comma y right parenthesis space f o r m s space a space t r i a n g l e space A B C
G i v e n colon space x equals 6 y
A r e a space o f space triangle A B C equals 1 half open vertical bar y subscript 1 left parenthesis x subscript 2 minus x subscript 3 right parenthesis plus y subscript 2 left parenthesis x subscript 3 minus x subscript 1 right parenthesis plus y subscript 3 left parenthesis x subscript 1 minus x subscript 2 right parenthesis close vertical bar
rightwards double arrow 25 equals 1 half open vertical bar 1 left parenthesis 7 minus 6 y right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 6 y minus 1 right parenthesis plus y left parenthesis 1 minus 7 right parenthesis close vertical bar
rightwards double arrow 25 equals 1 half open vertical bar left parenthesis 7 minus 6 y right parenthesis minus 18 y plus 3 minus 6 y close vertical bar
rightwards double arrow 25 equals 1 half open vertical bar 10 minus 30 y close vertical bar
rightwards double arrow 5 equals vertical line 1 minus 3 y vertical line
rightwards double arrow 1 minus 3 y equals 5 space o r space 3 y minus 1 equals 5
rightwards double arrow y equals negative 4 over 3 space o r space y equals 2
rightwards double arrow x equals negative 8 space o r space x equals 12
Answered by Renu Varma | 23 May, 2019, 04:54: PM
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