Advertisements
Advertisements
प्रश्न
Draw a circle of radius of 3 cm. Take two points P and Q on one of its diameters extended on both sides, each at a distance of 7 cm on opposite sides of its centre. Draw tangents to the circle from these two points P and Q ?
उत्तर
Follow the given steps to draw the tangents to the circles from the two points P and Q:
Step 1. Draw a circle with centre O and radius 3 cm.
Step 2. Extend its diameter on both sides and mark two points P and Q on it such that OP = OQ = 7 cm.
Step 3. Draw the perpendicular bisectors of OP and OQ. Let R and S be the mid-points of OP and OQ, respectively.
Step 4. Draw a circle with R as centre and radius PR, to intersect the circle with centre O at the points T and T'.
Step 5. Draw another circle with S as centre and radius SQ, to intersect the circle with centre O at the points B and B'.
Step 6. Join PT and PT'. Also, join QB and QB'.
Here, PT and PT' are the tangents to the circle from P. Also, QB and QB' are the tangents to the circle from Q.
APPEARS IN
संबंधित प्रश्न
Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B = 90°. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
The bisectors of angles A and B of a scalene triangle ABC meet at O.
- What is the point O called?
- OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
- What is the relation between angle ACO and angle BCO?
Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.
Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm , which are inclined to each other at an angle of 60° .
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 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.
Draw a circle at a radius of 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.
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.
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.
