\(3, (-1, 2)\)
\(2\sqrt{2}, (2, -1)\)
\(2\sqrt{2}, (2, 1)\)
\(9, (2, 1)\)
Correct answer is C
Equation of a circle with radius r and centre (a, b).
= \((x - a)^{2} + (y - b)^{2} = r^{2}\)
Expanding, we have
\(x^{2} - 2ax + a^{2} + y^{2} - 2by + b^{2} = r^{2}\)
Comparing, with \(x^{2} + y^{2} - 4x - 2y - 3 = 0\)
\(2a = 4 \implies a = 2\)
\(2b = 2 \implies b = 1\)
\(r^{2} - a^{2} - b^{2} = 3 \implies r^{2} = 3 + 2^{2} + 1^{2} = 8\)
\(r = 2\sqrt{2}\)
Given that \(p = \begin{bmatrix} x&4\\3&7\end{bmatrix} Q =\begin{bmatrix} x&3\\1&2x\...
Given that \(\frac{8x+m}{x^2-3x-4} ≡ \frac{5}{x+1} + \frac{3}{x-4}\)...
Find the unit vector in the direction of the vector \(-12i + 5j\)...
If \(^{3x}C_{2} = 15\), find the value of x?...
The third of geometric progression (G.P) is 10 and the sixth term is 80. Find the common ratio. ...
Given that \(R = (4, 180°)\) and \(S = (3, 300°)\), find the dot product...
Marks 5-7 8-10 11-13 14-16 17-19 20-22 No of students 4 7 26 41 14 8 T...