Question

Find the ratio in which the point (-3, p)

divides the line segment joining the

points (- 5, - 4) and (- 2, 3). Hence find

the value of p.​

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 coordinates

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

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

-2k+5=-3k-3

-2k+3k=-3-5

k=-8

equating y coordinates

(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

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