Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minQB

MathematicsMediummultiple choice

If the line $3 x - 4 y - λ = 0$ touches the circle $x^{2} + y^{2} - 4 x - 8 y - 5 = 0$ at $(a, b)$ , then $λ + a + b$ is equal to

Answer:

a, d

Solution:

Tangent $\Rightarrow λ = 15, - 35$

$λ = 15 \Rightarrow (a, b) = (5, 0)$

$λ = - 35 \Rightarrow (a, b) = (- 1, 8)$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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