Advertisements
Advertisements
प्रश्न
Prove that two different circles cannot intersect each other at more than two points.
Advertisements
उत्तर
Suppose two circles intersect in three points A,B,C,
Then A,B,C are non-collinear. So, a unique circle passes through these three points. This is contradiction to the face that two given circles are passing through A,B,C. Hence, two circles cannot intersect each other at more than two points.
APPEARS IN
संबंधित प्रश्न
ture or false v
The degree measure of a semi-circle is 180°.
In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB = 6cm, BC=7cm and CD=4 cm. Find AD.
In the given figure, PQ is chord of a circle with centre O an PT is a tangent. If
∠QPT = 60°, find the ∠PRQ.
In the given figure, BDC is a tangent to the given circle at point D such that BD = 30 cm and CD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to the circle and meet when produced at A making BAC a right angle triangle. Calculate (i) AF
In the given figure, AB is a diameter of a circle with centre O and AT is a tangent. If \[\angle\] AOQ = 58º, find \[\angle\] ATQ.
Radius of a circle with centre O is 4 cm. If l(OP) = 4.2 cm, say where point P will lie.
Find the diameter of the circle if the length of a chord is 3.2 cm and itd distance from the centre is 1.2 cm.
Draw two circles of different radii. How many points these circles can have in common? What is the maximum number of common points?
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord
