find the points on y axis each of which is at a distance of 13 units from the point (-5,7) - Maths - Coordinate Geometry

Question

find the points on y axis each of which is at a distance of 13
units from the point (-5,7)

Manbar Singh · Accepted Answer

Let  P0,y be the required point on y-axis
Now, distance between the point P0,y and A-5,7 is 13 units
Now, PA = 13 units⇒0+52 + y-72 = 13⇒25 + y2 + 49 - 14y = 13⇒y2+74-14y = 13⇒y2-14y+74 = 169⇒y2 - 14y - 95 = 0⇒y2 - 19y + 5y - 95 = 0⇒yy-19 + 5y-19 = 0⇒y+5y-19 = 0⇒y+5 = 0   or  y-19 = 0⇒y = -5   or  y = 19So, the required points are :0,-5 and 0,19