हिंदी

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 - Mathematics

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.

ज्यामितीय चित्र
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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Constructions - Exercises 2

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 13 Constructions
Exercises 2 | Q 1
नूतन Mathematics [English] Class 10 ICSE
अध्याय 16 Constructions
CHAPTER TEST | Q 8. | पृष्ठ ३७०

संबंधित प्रश्न

Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.


Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.


Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.


Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. 


Draw a circle with center O and radius 4 cm. Draw any diameter AB of this circle. Construct tangents to the circle at each of the two end points of the diameter AB.


Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.


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 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.


Draw a circle of radius 3 cm. Construct a square about the circle.


Which of the following is not true for a point P on the circle?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×