Question

Find the ratio in which the point A(a,2) divides the join of P(3,-4) and Q(3,6). Also , find the

value of ‘a’​

Answer 1

(x1,y1)=(-5,-4), (x2,y2) = (-2,3)

(-3,p) is the point which divides joining the above points in the ratio k:1

by using section formula

[(k*(-2)+1*5)/(k+1) , (k*3+1*(-4))/(k+1)] = (-3,p)

equating x co ordinates

(-2k+5)/(k+1) = -3

-2k+5 = -3(k+1)

-2k+5 = -3k-3

-2k+3k=-3-5

k= -8---(1)

equating y co ordinates

(3k-4)/(k+1) = p

substitute k = -8

[3*(-8) -4]/(-8+1) = p

(-24-4)/-7 = p

-28/-7 =p

4=p

p=4