Advertisements
Advertisements
Question
Take point P and Q and draw a circle passing through them. Draw a tangent AB to the circle without using the centre of the circle.
Solution
Analysis:
Centre of the circle passing through P and Q must be equidistant from points P and Q.
∴ It must lie of perpendicular bisector of seg PQ.
Steps of construction:
- Take any two point P, Q and join them.
- Draw a perpendicular bisector of PQ.
- Take any point O on the perpendicular bisector and draw a circle with centre O and radius OP.
- Take any point A on the major arc of the circle and draw ∆PQA.
- By taking P as centre and any convenient distance on compass draw an arc intersecting the arms of ∠QPA in points T and R.
- With A as centre and the same distance in the compass, draw an arc intersecting the chord QA at point S.
- Taking radius equal to TR and S as centre, draw an arc intersecting the previously drawn arc. Name the point of intersection as B.
- Draw line AB. Line AB is the required tangent to the circle.
APPEARS IN
RELATED QUESTIONS
Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle.
Draw the circle with centre C and radius 3.5 cm. Point B is at a distance 7 cm from the centre. Draw tangents to the circle from the point B.
Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.
Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.
Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.
Choose the correct alternative:
______ number of tangents can be drawn to a circle from the point outside the circle
Draw a circle of radius 3 cm. Take any point K on it. Draw a tangent to the circle from point K without using center of the circle.
Draw a circle of radius 3.4 cm. Draw a chord MN 5.7 cm long in a circle. Draw a tangent to the circle from point M and point N
Draw seg AB = 6.8 cm. Draw a circle with diameter AB. Draw point C on the circle apart from A and B. Draw line AC and line CB. Write the measure of angle ACB
Draw a circle with center O and radius 3.4. Draw a chord MN of length 5.7 cm in a circle. Draw tangents to the circle from point M and N
Draw a circle with center O and radius 3.6 cm. Draw a tangent to the circle from point B at a distance of 7.2 cm from the center of the circle.
Draw a circle with center C and radius 3.2 cm. Draw a tangent to the circle from point P at a distance of 7.5 cm from the center of the circle
Draw a circle of radius 3 cm and draw chord XY 5 cm long. Draw the tangent of the circle passing through point X and point Y (without using the center of the circle)
Draw a circle with center O and radius 3 cm. Take the point P and the point Q at a distance of 7 cm from the center of the circle on the opposite side of the circle such that their line of intersection passing through the center of the circle Draw a tangent to the circle from the point P and the point Q
Draw a circle with radius 3 cm. Construct a square such that each of its side will touch the circle from outside
Draw any circle with radius greater than 1.8 cm and less than 3 cm. Draw a chord AB 3.6 cm long in this circle. Tangent to the circle passing through A and B without using the center of the circle
Draw a circle of suitable radius. Take point T on it. Draw a tangent through point T.
