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Question

# The equations representing the given graph is

A
7x+2y=11; y2x=3
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B
2x+7y=11; 5x+(35y/2)=25
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C
3x7y=10; 8y6x=4
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D
3x4y=1; 3x4yx+2=0
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Solution

## The correct option is D 3x−4y=1; 3x−4yx+2=0Given first line 1 contains points (2,2) & (-2,-1).The equation of line passing through points (x1,y1)&(x2,y2) isy−y2=y2−y1x2−x1(x−x2)So, equation 1 is(y−2)=2−(−1)2−(−2)(x−2)(y−2)=34(x−2)3x−6=4(y−2)3x−6=4y−83x−4y+2=0Similarly , 2 line passing through,(3,2),(−1,−1),(−4,−5)Let (x1,y1),(3,2)&(x2,y2),(−1,−1)y−2=2−(−1)3−(−1)(x−3)y−2=34(x−3)3x−4y−9+8=03x−4y=1

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