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प्रश्न
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.
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उत्तर
Steps of construction:
- Draw a line segment OP = 6 cm.
- With centre O and radius 3.5 cm, draw a circle.
- Draw the midpoint of OP.
- With centre M and diameter OP, draw a circle which intersect the circle at T and S.
- Join PT and PS.
PT and PS are the required tangents. On measuring the length of PT = PS = 4.8 cm.
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.
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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.
In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find:
1) AB.
2) the length of tangent PT.
Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 5 cm from its center. Draw tangents to the circle from each of these points A and B.
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.
Which of the following is not true for a point P on the circle?
A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?
A pair of tangents can be constructed to a circle inclined at an angle of 170°.
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
