Hi,
Well the question is whether or not the data provided is sufficient to find out the value of r^2+s^2.
To know this you should know the equation of the circle.
equation of the circle is:
(x-h)^2+(y-k)^2= r^2
where:
(h,k) coordinates of the center of the circle in this case it is (0,0)
hence new equation is:
x^2+y^2= (radius)^2 ......eq 1
1) Using 1 radius is 2 and point on the circle is (r,s) so putting (r,s) in the new equation you get
r^2+s^2=4 hence 1 is sufficient to answer your question.
2) Using 2 we get
(v2)^2+(-v2)^2=(radius)^2
=> 2(V2)^2 = (radius)^2 ..eq2
since (r,s) also lie on the circle
r^2+s^2=(radius)^2 ..eq3
but from eq2 we know (radius)^2=2(V2)^2 substituting eq2 in eq3 we get
r^2+s^2=2(V2)^2
Here we see that there is still one variable v2 in the result.
So we can say answer is (a) that is 1 alone is sufficient to answer the question.
Hope this helps
Thanks
Komal
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