A circle with centre (5,-4) passes through the point (5, ...
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
x\(^2\) + y\(^2\) + 10x + 8y + 25 =0
x\(^2\) + y\(^2\) +10x - 8y - 25 = 0
x\(^2\) + y\(^2\) - 10x + 8y + 25 =0
x\(^2\) + y\(^2\) -10x - 8y - 25 = 0
Correct answer is C
(x - h)\(^2\) + (y - k)\(^2\) = r\(^2\)
x\(^2\) - 2hx + y\(^2\) - 2ky + h\(^2\) + k\(^2\) = r\(^2\)
x\(^2\) - 2(3)x + y\(^2\) - 2(-4) y + 5\(^2\) + (-4)\(^2\) = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 25 + 16 = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 41 = r\(^2\)
at point (5,0)
5\(^2\) - 10(5) + 0\(^2\) + 8(0) + 41 = r\(^2\)
25 - 50 + 41 = r\(^2\)
16 = r\(^2\)
r = \(\sqrt{16}\)
= 4
x\(^2\) + y\(^2\) - 10x + 8y + 25 = 0
In how many ways can six persons be paired? ...
Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ ...
Find, in surd form, the value of \(\cos 165\)....
Find the value of the constant k for which \(a = 4 i - k j\) and \(b = 3 i + 8 j\) are perpendi...
Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34 Frequency 6 8 14 10 12 ...
Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0...
P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = x...