CircleHard
Question
The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq units. Then the equation of the circle is
Options
A.x2 + y2 + 2x - 2y = 62
B.x2 + y2 + 2x - 2y = 47
C.x2 + y2 - 2x + 2y = 47
D.x2 + y2 - 2x + 2y = 62
Solution
Intersection of diameter is the point (1, - 1)
πs2 = 154
⇒ s2 = 49
(x - 1)2 + (y + 1)2 = 49
Hence, (C) is the correct answer.
πs2 = 154
⇒ s2 = 49
(x - 1)2 + (y + 1)2 = 49
Hence, (C) is the correct answer.
Create a free account to view solution
View Solution FreeMore Circle Questions
If the circle C1 : x2 + y2 = 16 intersects another circle C2 of radius 5 in such a manner that the common chord is of ma...If x - 2y + k = 0 is a common tangent to y2 = 4x & = 1 (a > √3), then the value of a, k and other common tangen...The equation of common tangent of hyperbola 9x2 - 9y2 = 8 and the parabola y2 = 32x is/ are-...Let z1,z2 & z3 are the vertices of ᐃABC respectively such that is purely imaginary number. A square on side AC is ...The length of the common chord of circle x2 + y2 − 6x − 16 = 0 and x2 + y2 − 8y − 9 = 0 is-...