If two circles intersect in two points; ...

If two circles intersect in two points; prove that the line through the centres is the perpendicular bisector of the common chord.

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
PROBABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Two circles itnersect each other in two points. Prove that the line through their centres is the perpendicular bisector of the common chord.

Theorem:- 3 There is one and only one circle passing through three non collinear points and If two circles intersects in two points; then the line joining the centres is perpendicular bisector of common chords

If two circles intersect at two points,prove that their centres lie on the perpendicular bisector of the common chord.

Two circles of radil 5cm and 3cm intersect at two points and the distance between their centres is 4cm. Find the length of the common chord.

Two circles of radii 5cm and 3cm intersect at two points and the distance between their centres is 4cm .Find the length of the common chord.

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10sqrt3 cm, then what is the diameter of the circle?

If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

If two circles intersect in two points; prove that the line through th...
Text Solution
|
Let O be the origin and let PQR be an arbitrary triangle. The point S ...
Text Solution
|
Let O be the origin and OX, OY, OZ be three unit vectors in the direct...
Text Solution
|
Let O be the origin, and O X , O Y , O Z be three unit vectors ...
Text Solution
|
Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
Text Solution
|
Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...
Text Solution
|
If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...
Text Solution
|
Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...
Text Solution
|
Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...
Text Solution
|
Let P, Q, R and S be the points on the plane with position vectors -2h...
Text Solution
|
If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...
Text Solution
|
If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
Lelt two non collinear unit vectors hata and hatb form and acute angle...
Text Solution
|
Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...
Text Solution
|
The number of distinct real values of lambda, for which the vectors -l...
Text Solution
|
Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
Text Solution
|
Let A be vector parallel to line of intersection of planes P1 and P2. ...
Text Solution
|
Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...
Text Solution
|
If vec a , vec b and vec c are three non-zero, non coplanar vecto...
Text Solution
|