Q9 of 112 Page 163

Find the equation of the median from the vertex R in a ΔPQR with vertices at

P(1, –3), Q(–2, 5) and R(–3, 4).

The given points are


P (1,–3), Q(–2,5) and R (–3,4)


The median from R will pass through the midpoint of line PQ


(∵ Median passes through the mid–point of the side opposite to the vertex)


Let the mid–point of PQ be A =


The equation of the line passing through the two given (x1, y1) and (x2,y2)points is given by form



Thus here the required equation is



⇒


⇒


⇒


⇒ 5y –20 = –6x –18


⇒ 6x + 5y –2 = 0


More from this chapter

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7

Find the equation of the straight line which passes through the midpoint of the line segment joining (4, 2) and (3, 1) whose angle of inclination is 30°.

 8

Find the equation of the straight line passing through the points

(i) (–2, 5) and (3, 6) (ii) (0, –6) and (–8, 2)

 10

By using the concept of the equation of the straight line, prove that the given three points are collinear.

(i) (4, 2), (7, 5) and (9, 7)


(ii) (1, 4), (3, –2) and (–3, 16)

 11

Find the equation of the straight line whose x and y–intercepts on the axes are given by

(i) 2 and 3 (ii)


(iii)