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MathematicsCircleEquation of chord with given middle point Chord of contact Pair of TangentsMedium2 minQB

MathematicsMediummultiple choice

Point $M$ moved along $(x - 4)^{2} + (y - 8)^{2} = 20$ . It broke away and moved along a tangent meeting the $x$ -axis at (-2, 0). The point of departure can be

Options:(select one or more)

Answer:

B, C

Solution:

The chord of contact from $(- 2, 0)$ is $3 x + 4 y - 34 = 0$ . Intersecting it with $(x - 4)^{2} + (y - 8)^{2} = 20$ gives $5 x^{2} - 28 x - 12 = 0$ , so $x = 6, - 2/5$ , and the respective points are (6, 4) and (-2/5, 44/5).

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Equation of chord with given middle point Chord of contact Pair of Tangents

⏱ 2mℹ️ Source: QB

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