Question

The points on x axis which are at a distance of root 13 units from (-2,3) is

Answer 1

Answer:

Let the required point on the y-axis be P(0, y). Then,

PA=13⇒PA2=169PA=13⇒PA2=169

⇒(0+5)2+(y−7)2=169⇒(0+5)2+(y-7)2=169

⇒y2−14y+74=169⇒y2−14y−95=0⇒y2-14y+74=169⇒y2-14y-95=0

⇒y2−19y+5y−95=0⇒y(y−19)+5(y−19)=0⇒y2-19y+5y-95=0⇒y(y-19)+5(y-19)=0

⇒(y−19)(y+5)=0⇒y−19=0 or y+5=0⇒(y-19)(y+5)=0⇒y-19=0 or y+5=0

⇒y=19 or y=−5⇒y=19 or y=-5

Hence, the required points on the y-axis are B(0, 19) and C(0, -5).