WBBSEClass XMathematicsConstruction of Tangent to a Circle05 Mark2024 Easy

QQuestion

Draw a circle of radius 4 cm. Draw a tangent on this circle from an external point at a distance 9 cm from the centre of the circle.

Exam-ready answer 05 Mark

Answer

Draw a circle with a radius of 2.6 cm and draw a tangent on this circle from an external point at a distance of 6 cm from the center of the circle. (1)

Rule of Construction:

(i) I have drawn a circle with centre O and radius 4 cm.

(ii) I joined O and P.

(iii) I bisected the line segment OP at the point X.

(iv) Taking X as centre and radius equal to XO, I drew a semicircle which intersects the given circle (with centre O) at the point T.

(v) I joined P and T, and extended it.

∴ PT is the tangent to the circle with centre O from the external point P.

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