CircleHard
Question
Tangents are drawn from origin O, to the circle x2 + y2 + 6x - 10y + λ = 0 to touch the circle at points A and B. If C is the centre of circle and area of quadrilateral OACB is 8 sq. unit, then sum of all possible values of λ is -
Options
A.2
B.4
C.32
D.34
Solution
r =
ar.(OACB) = 2.ar.(ᐃOAC)
= 2.
.OA.AC8 =
⇒ c2 - 34c + 64 = 0
⇒ c = 2, 32
Create a free account to view solution
View Solution FreeMore Circle Questions
The intercept on the line y = x by the circle x2 + y2 - 2x = 0 is AB. Equation of the circle on AB as a diameter is...In a right triangle ABC, right angled at A, on the leg AC as diameter, a semicircle is described The chord joining A wit...The length of the intercept made by the circle x2 + y2 =1 on the line x + y = 1 is-...Three equal circles each of radius r touch one another. The radius of the circle which touching by all the three given c...Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2 + y2 = 4. Their variable chord of ...