Question

If the point C(-1,2) divides internally the line segment jinng the points A(2,5) and B(x,y) in the ratio 3:4. Find the value of x square+ y square.

Answer 1

c(-1,2)={3(x)+4(2)whole ÷3+4} , {3(y)+4(5)whole÷3+4}
=>(-1,2)={3x+8whole÷7} , {3y+20whole÷7}
-1=3x+8whole÷7 , 3y+20whole÷7=2
-1×7=3x+8. , 3y+20=2×7
3x=-7-8. , 3y=14-20
3x=-15. , 3y=-6
x=-5. , y=-2
${x}^{2} + {y}^{2} = { -5}^{2} + { - 2}^{2} \\ = 25 + 4 = 29$