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1. hat are the co-ordinates of the fourth vertex if three vertices of a rectangle are the points (3, 4), (- 1, 2), (2, - 4) 2. In what ratio does the line 4x + y = 11 divide the line segment joining the points (1, 3) and (2, 7). 3. If two vertices of an equilateral triangle are (3, 0) and (6, 0), find the third vertex 4. The mid-point of segment AB is the point P (0, 4). If the Coordinates of B are (-2, 3) then find the coordinates of A. 5. Find the point of y-axis which is equidistant from the points (-5, -2) and (3, 2).

Asked by dilipkmishra29 | 11 Sep, 2020, 02:04: PM

Expert Answer

.

begin mathsize 16px style Let space the space coordinates space of space straight a space point space straight A thin space be space left parenthesis straight x comma space straight y right parenthesis. straight P space is space the space midpoint space of space AB. By space using space Mid minus Point space Formula comma space we space get open parentheses fraction numerator straight x minus 2 over denominator 2 end fraction comma fraction numerator straight y plus 3 over denominator 2 end fraction close parentheses equals open parentheses 0 comma 4 close parentheses rightwards double arrow fraction numerator straight x minus 2 over denominator 2 end fraction space equals space 0 space and space fraction numerator straight y plus 3 over denominator 2 end fraction equals 4 rightwards double arrow straight x space equals space 2 space and space straight y space equals space 5 Therefore comma space the space co minus ordinates space of space straight A space are space left parenthesis 2 comma space 5 right parenthesis end style

Note: Please ask one question in one query.

Answered by Yasmeen Khan | 11 Sep, 2020, 06:32: PM

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1. hat are the co-ordinates of the fourth vertex if three vertices of a rectangle are the points (3, 4), (- 1, 2), (2, - 4) 2. In what ratio does the line 4x + y = 11 divide the line segment joining the points (1, 3) and (2, 7). 3. If two vertices of an equilateral triangle are (3, 0) and (6, 0), find the third vertex 4. The mid-point of segment AB is the point P (0, 4). If the Coordinates of B are (-2, 3) then find the coordinates of A. 5. Find the point of y-axis which is equidistant from the points (-5, -2) and (3, 2).

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