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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleChord, Intercept (Made by the circle)Medium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

For Q34-36: C1 and C2 are unit circles centered at P=(0,0) and Q=(1,0). Unit circle C3 passes through P and Q and has center R=(1/2, √3/2) above the x-axis.

$C_{1}, C_{2}$ are unit circles with centres $P = (0, 0)$ and $Q = (1, 0)$ . The unit circle $C_{3}$ passes through $P, Q$ and has centre $R$ above the $x$ -axis, so $R = (1/2, 3 /2)$ . The length of the common chord of the circles with $PQ$ and $PR$ as diameters is

Options:

Answer:

Solution:

The diameter circles have radius $1/2$ and centres separated by $1/2$ . Their common chord is $3 /2$ .

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

⏱ 2mℹ️ Source: QB

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