## Draw a circle of diameter 6.4 cm. Take a point R at a distance equal to its diameter from the centre. Draw tangents from point R.

Construction steps:1.Draw a circle of radius = 6.4/ 2 = 3.2 cm with centre O.2. Mark a point R in the exterior of the circle so that OR = 6.4 cm.3. Draw segment OR. Draw a perpendicular bisector of OR. Mark its midpoint M.4. Draw a circle with radius OM and centre M.5. Mark the point of intersection of the […]

## Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.

Analysis: As shown in the above figure, let line l be the tangent to the circle at point A. Line AB is a chord andBCA is an inscribed angle. Now by tangent- secant angle theorem, BCA BAR.By converse of tangent- secant theorem, if we draw the line l such that, BAR BCA, then it will be the […]

## Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.

Construction steps.1. Draw a circle of radius 3.5 cm with centre O.2. Mark a point P in the exterior of the circle so that OP = 5.7 cm3.Join OP. Draw perpendicular bisector of segment OP and mark the midpoint M.4. Draw a circle with radius OM and centre M.5.Name the point of intersection of the two […]

## Select the correct alternative for each of the following questions.

(1) The number of tangents that can be drawn to a circle at a point on the circle is …………… .(A) 3 (B) 2 (C) 1 (D) 0Solution:The number of tangents that can be drawn to a circle at a point on the circle is 1.Hence option C is the answer. (2) The maximum number of […]