The correct option is A -1.25
The equation for the point that divides a line segment joining the points (x1,y1) and (x2,y2) in the ratio m : n is: ((n×x1+m×x2)m+n,n×y1+m×y2m+n)
Here,
(x1,y1)=(−6,10),(x2,y2)=(x,y), m:n=3:2
According to Section Formula:
(x,y)=(mx2+nx1m+n,my2+ny1m+n)
⇒(−4,6)=(3x+(−12)3+2,3y+203+2)
⇒−4=3x−125 and 6=3y+205
⇒3x=−20+12 and 3y=30−20
⇒x=−83 and y=103
∴ The value of yx=103÷−83=−108=−1.25