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5. Coordinate geometry
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Q1 of 112 Page 168

The midpoint of the line joining (a,– b) and (3a, 5b) is

The midpoint of the line joining (a,– b) and (3a, 5b) is


,(mid point of line segment is ; where (x1,y1) and (x2,y2) are end points of the line segment)


i.e.


= (2a,2b)

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18

Find the equation of the straight line segment whose end points are the point of intersection of the straight lines

2x – 3y + 4 = 0, x – 2y + 3 = 0 and the midpoint of the line joining the points (3, –2) and (–5, 8).

19

In an isosceles Δ PQR, PQ = PR. The base QR lies on the x–axis, P lies on the y– axis and 2x – 3y + 9 = 0 is the equation of PQ. Find the equation of the straight line along PR.

2

The point P which divides the line segment joining the points A(1,– 3)and B(–3, 9) internally in the ratio 1:3 is

3

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Questions · 112
5. Coordinate geometry
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