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Draw Different Pairs of Circles. How Many Points Does Each Pair Have in Common? What is the Maximum Number of Common Points? - Mathematics

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प्रश्न

Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?

उत्तर

Each pair of circles have 0,1 or 2 points in common
The maximum number of points in common is ‘2’

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अध्याय 15: Circles - Exercise 15.2

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 15 Circles
Exercise 15.2 | Q 13

संबंधित प्रश्न

Fill in the blanks:

The longest chord of a circle is a __________ of the circle.


Write True or False. Give reason for your answer.
A circle is a plane figure.


true or false 

A chord of a circle, which is twice as long is its radius is a diameter of the circle.


In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact D, are of lengths 4cm and 3cm respectively. If the area of 2 ABC  21cm then find the lengths of sides AB and AC.


In figure 1, O is the centre of a circle, PQ is a chord and PT is the tangent at P.

If ∠POQ = 70°, then ∠TPQ is equal to


A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, find the perimeter of the ∆ABC.


Mark two points A and B ,4cm a part, Draw a circle passing through B and with A as a center


The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:

(a) OP = 10.6 cm

(b) OP = 6.8 cm

(c) OP = 8 cm


Find the radius of the circle

Diameter = 76 cm


If an are subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is ______.


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