मराठी

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

Advertisements
Advertisements

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.

भौमितिक रेखाचित्रे
Advertisements

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)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Constructions - CHAPTER TEST [पृष्ठ ३७०]

APPEARS IN

नूतन Mathematics [English] Class 10 ICSE
पाठ 16 Constructions
CHAPTER TEST | Q 8. | पृष्ठ ३७०

संबंधित प्रश्‍न

In the figure given below, O is the centre of the circle and SP is a tangent. If ∠SRT = 65°,
find the value of x, y and z.


Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.


Draw a circle of radius 4.2. Draw a pair of tangents to this circle inclined to each other at an angle of 45°


Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°. 


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. 


Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.


In Figure 2, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length TP.


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 ______.


A pair of tangents can be constructed from a point P to a circle of radius 3.5cm situated at a distance of ______ from the centre.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×