Two congruent circles intersect each oth...

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Topper's Solved these Questions

Areas of Parallelograms and Triangles
MBD|Exercise Exercise|80 Videos
Co-Ordinate Geometry
MBD|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

Two intersecting lines can intersect each other at more than one point.

Two different line when intersect each other at some point,they are called?

Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig.10.34). Prove that B lies on the line segment DC.

In fig., two circles with centres O, O' touch externally at a point A. A line through A is drawn to intersect these circles in B and C. Prove that the tangents at B and C are parallel.

Two congruent circles with centres C and O' intersect at A and B. If angleAO'B = 50^@ , then find angleACB

(True/ False) Two congruent circles with centres O and O' intersect at two points A and B. Then /_AOB = /_AO'B .

In two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that Delta PAC ~ PDB

In two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that PA. PB = PC . PD

MBD-Circles-Exercise

Match the following : .
Text Solution
|
In DeltaABC which is not true :
Text Solution
|
Find x+y+z
Text Solution
|
The lengths of two parallel chords of a circle are 6 cm and 8 cm. If t...
Text Solution
|
Let vertex of an angle ABC be located outside a circle and let the sid...
Text Solution
|
Bisectors of angles A, B and C of a triangle ABC intersect its circumc...
Text Solution
|
Two congruent circles intersect each other at points A and B. Through ...
Text Solution
|
In any triangle ABC, if the angle bisector of /A and perpendicular bis...
Text Solution
|
Find x+y+z
Text Solution
|
Find x+y+z
Text Solution
|
(True/ False) Two chords AB and CD of a circle are each at distances ...
Text Solution
|
(True/ False) Two chords AB and AC of a circle with centre O are on t...
Text Solution
|
(True/ False) Two congruent circles with centres O and O' intersect at...
Text Solution
|
Through three collinear points a circle can be drawn.
Text Solution
|
(True/ False) A circle of radius 3 cm can be drawn through two points...
Text Solution
|
(True/ False) If AOB is a diameter of a circle and C is a point on th...
Text Solution
|
(True/ False) ABCD is a cyclic quadrilateral such that /A = 90^@, /B ...
Text Solution
|
(True/ False) If A, B, C, D are four points such that /BAC = 30^@ and...
Text Solution
|
(True/ False) If A, B, C and D are four points such that /BAC = 45^@ ...
Text Solution
|
(True/ False) In Fig. If AOB, is a diameter and /ADC = 120^@, then...
Text Solution
|