Mathematics - Circle Question with Solution | TestHub

MathematicsCircleChord, Intercept (Made by the circle)Medium2 minQB

MathematicsMediummultiple choice

The line $2 x + y + 1 = 0$ cuts $x^{2} + y^{2} = 9$ at $A, B; 3 x + k y - 4 = 0$ cuts $x^{2} + y^{2} - 2 x + 4 y + 1 = 0$ at $C, D$ . Which are true?

Answer:

A, C

Solution:

The radical axis of the circles is $x - 2 y - 5 = 0$ . Concurrency with the two chord lines gives $k = - 1$ , and solving gives $(3/5, - 11/5)$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Chord, Intercept (Made by the circle)

⏱ 2mℹ️ Source: QB

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