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प्रश्न
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
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उत्तर
Steps for construction:
- Draw concentric circles of radius 4 cm and 6 cm with centre of O.
- Take point P on the outer circle.
- Join OP.
- Draw perpendicular bisectors of OP where M is the midpoint of OP.
- Take a distance of a point O from the point M and mark arcs from M on the inner circle it cuts at point A and B respectively.
- Join PA and PB.
- We observe that PA and PB are tangents from outer circle to inner circle are equal of a length 4.5 cm each.
संबंधित प्रश्न
Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct:
- A circle of radius 2.5 cm, passing through A and C.
- Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.
Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
Using ruler and compasses only construct a triangle ABC in which BC = 4 cm, ∠ACB = 45° and perpendicular from A on BC is 2.5 cm. Draw a circle circumscribing the triangle ABC and measure its radius.
Draw a line segment AB of length 8 cm. Taking A as centre , draw a circle of radius 4 cm and taking B as centre , draw another circle of radius 3 cm. Construct tangents to each circle form the centre of the other circle.
Draw two circles with radii 2.5 cm and 4 cm and with their centres 7 cm apart.
Draw a direct common tangent and a transverse common tangent. Calculate the length of the direct common tangent.
Draw a circle of radius 3 cm. Construct a square about the circle.
Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is ______.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be ______.
Which of the following is not true for a point P on the circle?
