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 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 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°.
- Construct a circle circumscribing the triangle ABC.
- Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.
Draw a circle of radius 4.2 cm. Draw a pair of tangents to this circle inclined to each other at an angle of 45°.
Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.
Draw two circles of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length.
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.
There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?
Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.
