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If x, y is equidistant from a+b, b-a and a-b, a+b , then

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Important Questions on Straight Line

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If the points 2a,a,a,2a and a,a enclose a triangle of area 18 sq units, then the centroid of the triangle is equal to
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The area of a triangle is 5 sq units. Two of its vertices are 2,1 and 3,-2 . The third vertex lies on y=x+3 , then the coordinates of the third vertex can be
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The equation of the line passing through the point (-3,7) with slope zero is
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Distance between the lines  4x+3y=6 and 4x+3y=11 is
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The equation of the line passing through a,b and parallel to the line xa+yb=1 is