Advertisements
Advertisements
प्रश्न
Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.
Advertisements
उत्तर
Steps of construction:
1) With centre O and radius = 3 cm, draw a circle.
2) Take any point P outside the circle.
3) Through the external point, P draw a straight line PBA meeting the circle at A and B.
4) Draw a semicircle on AP as diameter.
5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With centre P and radius, PC draw an arc cutting the circle at Q.
7) Join PQ. Then PQ is the required tangent.
APPEARS IN
संबंधित प्रश्न
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 with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circles. Give the justification of the construction.
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
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.
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 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.
Take a point O on the plane at the paper. With O as center draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.
Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ ABC = 60°, and AB 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ ABC of Δ ABC.
Draw a circle of radius 3 cm. Construct a square about the circle.
