Question

2. Draw a circle of radius 3.4 cm and centre E. Take a point F on the
circle. Take another point A such that E - F - A and FA = 4.1 cm.
Draw tangents to the circle from point A. draw and label ot​

Answer 1

Step-by-step explanation:

Draw a circle of radius 3.4 cm As shown in the figure, let A be a point in the exterior of circle at a distance of (3.4 + 4.1) = 7.5 cm. Let AP and AQ be the tangents to the circle at points P and Q respectively. ∴ seg EP ⊥ tangent PA … [Tangent is perpendicular to radius] Rough Figure ∴ ∠EPA = 90° ∴ point P is on the circle having EA as diameter. …[Angle inscribed in a semicircle is a right angle] Similarly, point Q also lies on the circle having EA as diameter. ∴ Points P and Q lie on the circle with EA as diameter. On drawing a circle with EA as diameter, the points where it intersects the circle with centre E, will be the positions of points P and Q respectively. mark me as brilliant