Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

A circle C of radius 1 touches the x-axis at A, with centre Q in the first quadrant. A tangent from O=(0,0) touches C at T. A point P on OT makes triangle OAP right-angled at A and its perimeter is 8.

A radius-1 circle $C$ touches the $x$ -axis at $A$ , with centre $Q$ in the first quadrant. A tangent from $O = (0, 0)$ touches it at $T$ . A point $P$ on this tangent makes $△ O A P$ right-angled at $A$ with perimeter 8. Find the equation of the tangent $OT$ .

Options:

Answer:

Solution:

P=(2,8/3), so OP has slope 4/3 and equation 4x-3y=0. Its distance from the circle's center (2,1) is 1, so it is the tangent OT, the repaired option A.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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