- Home
- Standard 11
- Mathematics
10-1.Circle and System of Circles
medium
The circle on the chord $x\cos \alpha + y\sin \alpha = p$ of the circle ${x^2} + {y^2} = {a^2}$ as diameter has the equation
A
${x^2} + {y^2} - {a^2} - 2p(x\cos \alpha + y\sin \alpha - p) = 0$
B
${x^2} + {y^2} + {a^2} + 2p(x\cos \alpha - y\sin \alpha + p) = 0$
C
${x^2} + {y^2} - {a^2} + 2p(x\cos \alpha + y\sin \alpha + p) = 0$
D
${x^2} + {y^2} - {a^2} - 2p(x\cos \alpha - y\sin \alpha - p) = 0$
Solution
(a) Get combined equation of family of circles through points of intersection of line and circle and then apply condition for radius of circle.
Standard 11
Mathematics
