A circle C has equation
$$x^2 + y^2 - 4x + 10y = k$$
where k is a constant - Edexcel - A-Level Maths Pure - Question 5 - 2017 - Paper 1
Question 5
A circle C has equation
$$x^2 + y^2 - 4x + 10y = k$$
where k is a constant.
(a) Find the coordinates of the centre of C.
(b) State the range of possible values f... show full transcript
Worked Solution & Example Answer:A circle C has equation
$$x^2 + y^2 - 4x + 10y = k$$
where k is a constant - Edexcel - A-Level Maths Pure - Question 5 - 2017 - Paper 1
Step 1
State the range of possible values for k.
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Answer
From the standard form of the circle's equation:
(x−2)2+(y+5)2=k+29
For the radius to be real, the right-hand side must be greater than or equal to zero:
