Question

Which of the following points lie on the circle $x^2+y^2=25$

• A. $(0,2)$
• B. $(3,4)$
• C. $(5,-1)$
• D. $(3,-1)$

Answer 1

The correct option is B $(3,4)$

Given the equation of the circle is $x^2+y^2=25$.

Now, $0^2+2^2=4\ne 25$, so the point $(0,2)$ does not lie on the circle.

As $3^2+4^2=25$, so the point $(3,4)$ lies on the circle.

Again $5^2+(-1{)}^2=26\ne 25$ so the points $(5,-1)$ does not lie on the circle.

Also $3^2+(-1{)}^2=10\ne 25$ so the point $(3,-1)$ does not lie on the circle.