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.
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)

APPEARS IN
संबंधित प्रश्न
Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other an angle of 60º.
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. Give the justification of the construction.
In the given figure, PQ is a tangent to the circle at A. AB and AD are bisectors of ∠CAQ and ∠PAC. if ∠BAQ = 30°. Prove that:
- BD is a diameter of the circle.
- ABC is an isosceles triangle.

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.
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre.
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?
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.
Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.
