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

Each pair of circles have 0,1 or 2 points in common
The maximum number of points in common is ‘2’
APPEARS IN
RELATED QUESTIONS
PA and PB are tangents from P to the circle with centre O. At point M, a tangent is drawn cutting PA at K and PB at N. Prove that KN = AK + BN.
In figure, PA and PB are tangents from an external point P to the circle with centre O. LN touches the circle at M. Prove that PL + LM = PN + MN.

ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with Aas centre and AC as radius. The length of the chord of this circle passing through C and B is
In the given circle with diameter AB, find the value of x.
State, if the following statement is true or false:
Every diameter bisects a circle and each part of the circle so obtained is a semi-circle.
In the figure, O is the centre of the circle and ∠AOB = 90°, ∠ABC = 30°. Then find ∠CAB.

The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is ______
AB is a diameter of a circle and AC is its chord such that ∠BAC = 30°. If the tangent at C intersects AB extended at D, then BC = BD.
AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.
If two chords AB and CD of a circle AYDZBWCX intersect at right angles (see figure), prove that arc CXA + arc DZB = arc AYD + arc BWC = semi-circle.

