Draw a circle with centre P and radius 3.4 cm. Take point Q at a distance
5.5 cm from the centre. Construct tangents to the circle from point Q.
Answers
Answer:
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Step-by-step explanation:
A shown in the figure, let Q be a point in the exterior of circle at a distance of 5.5 cm. Let Qr and Qs be the tangents to the circle at points R and S respectively. ∴ seg PR ⊥ tangent QR …[Tangent is perpendicular to radius] ∴ ∠PRQ = 90° ∴ point R is on the circle having PQ as diameter. …[Angle inscribed in a semicircle is a right angle] Similarly, point S also lies on the circle having PQ as diameter. ∴ Points R and S lie on the circle with PQ as diameter. On drawing a circle with PQ as diameter, the points where it intersects the circle with centre P, will be the positions of points R and S respectively. Ray QR and QS are the required tangents to the circle from point Q. Read more on Sarthaks.com - https://www.sarthaks.com/855241/draw-circle-center-radius-take-point-distance-from-center-construct-tangents-circle-point