Question

Question 11
The point P(-2,4) lies on a circle of radius 6 and centre (3,5).

Answer 1

False
If the distance between the centre and point is equal to the radius, then we say that point lie on the circle.
Now, distance between P(-2,4) and centre (3,5)
$=\sqrt{(3+2{)}^2+(5-4{)}^2}=\sqrt{5^2+1^2}=\sqrt{25+1}=\sqrt{26}\left[\begin{array}{c}\\ \because \text{distance between the points}(x_1,y_1)and(x_2,y_2)\\ d=\sqrt{(x_2-x_1{)}^2+(x_2-y_1{)}^2}\end{array}\right]\text{which is not equal to the radius of the circle.}\text{Hence, the point P(-2,4) does not lies on the circle.}$