In the figure given above, O is the cent...

In the figure given above, O is the centre of the circle OA = 3 cm, AC = 3 cm and OM is perpendicular to AC. What is `angleABC` equal to ?

`60^@`

`45^@`

`30^@`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CIRCLE AND ITS TANGENT LINES
LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
CIRCLE AND ITS TANGENT LINES
LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
CENTRE OF TRIANGLE
LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
CONGRUENCE AND SIMILAR TRIANGLES
LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

Similar Questions

Explore conceptually related problems

In the figure (i) given below, O is the centre of the circle. AB and CD are the chords of the circle. OM is perpendicular to AB and ON is perpendicular to CD. AB=24 cm OM=5 cm, ON=12 cm. Find the, (i) radius of the circle (ii) length of chord CD (ii) In the figure (ii) given below, CD is diameter which meets the chord AB at E such that AE = BE = 4 cm.If CE = 3 cm, find the radius of the circle.

In the given figure, O is the centre of the circle. AB is tangent. AB =12 cm and OB = 13 cm . Find OA:

In the given figure, O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, then what is the length (in cm) of AB?

In the given figure, it is given that O is the centre of the circle and angleAOC = 140^@ , find angleABC .

In the adjoining figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and angleBOD = 90^(@) . Find the area of the shaded region.

In figure, A is the centre of the circle. angleABC = 45^(@) and AC=7sqrt(2) cm. Find the area of segment BXC.

In the adjoining figure, 'O' is the centre of the circle. OL and OM are perpendiculars from O to the chords AB and BC respectively. If OL=OM and AB=16 cm , then find the length of BC.

In the given figure,O is the centre of a circle such that OA=5cm,AB=8cm and OD perp AB meeting AB at C. Find the length of CD.

LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8A

In the given figure O is the centre of the circle AC and BD intersects...
Text Solution
|
Let A and B be two points. What is the locus of the point P such that ...
Text Solution
|
In the figure given above, O is the centre of the circle OA = 3 cm, AC...
Text Solution
|
Two circles touch each other internally. Their radii are respectively ...
Text Solution
|
The distance between the centres of two circles is 10 cm whose radius ...
Text Solution
|
If the radii of two circles be 6 cm and 3 cm and the length of the tra...
Text Solution
|
ABC is an equilateral triangle inscribed in a circle with AB = 5 cm. L...
Text Solution
|
Two circles touch each other externally at P. Two secants APB and CPD ...
Text Solution
|
A point P moves such that its distances from two given points A and B...
Text Solution
|
ABCD is a cyclic quadrilateral and A + B = 2 ( C + D). If angle C gt 3...
Text Solution
|
If diameters of two circles are 6 units and 10 units and their centres...
Text Solution
|
Point A is situated at a distance of 6.5 cm from the centre of a circl...
Text Solution
|
A circle with centre O is given and C is a point on its minor arc AB. ...
Text Solution
|
In the figure, ABC is a triangle in which AB = AC. A circle through B ...
Text Solution
|
In the given figure if angle PAQ = 59^(@), angle APD = 40^(@), then wh...
Text Solution
|
In the adjacent figure C and D are two points on circumference of a se...
Text Solution
|
In the figure given below, if angle AOP = 75^(@) and angle AOB = 120^(...
Text Solution
|
Length of two chords AB and AC of a circle are respectively 8 cm and 6...
Text Solution
|
The chord of circle whose radius is 5 cm touches another circle radius...
Text Solution
|
A chord of a circle is equal to its radius. The angle subtended by thi...
Text Solution
|