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प्रश्न
Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.
Draw a circle of radius 3 cm from a point 7 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
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उत्तर
Steps of Construction
Step 1: Draw a circle with O as center and radius 3 cm.
Step 2: Mark a point P outside the circle such that OP = 7cm.
Step 3: Join OP. Draw the perpendicular bisector XY of OP. cutting OP at Q.
Step 4: Draw a circle with Q as center and radius PQ (or OQ), to intersect the given circle at the points T and T’.
Step 5: Join PT and PT.
Here, PT and PT’ are the required tangents.
PT = PT = 6.3cm(Approx)
संबंधित प्रश्न
Draw a circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°.
- Construct a circle circumscribing the triangle ABC.
- Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.
Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.
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 of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.
