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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleChord, Intercept (Made by the circle)Medium2 minQB

MathematicsMediumsingle choice

$A$ lies on $(x + 3)^{2} + (y - 4)^{2} = r^{2}$ . Two chords through $A$ have lengths 13 and 15 , and their midpoints are 7 apart. Find $r$ .

Options:

Answer:

Solution:

The endpoints of the two chords with $A$ form a triangle with sides 13, 15, 14. Its circumradius is $13 \cdot 15 \cdot 14/ (4 \cdot 84) =$ 65/8 (Heron area 84).

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

⏱ 2mℹ️ Source: QB

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