A circle touches a quadrilateral ABCD. ...

A circle touches a quadrilateral ABCD. Find the true statement:

`AB+BC=CD+AD`

`AB+CD=BC+AD`

`BD=AC`

none of the above

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

GEOMETRY
ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|54 Videos
GEOMETRY
ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos
GEOMETRY
ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.4|10 Videos
FUNDAMENTALS
ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos
HCF AND LCM
ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

In the quadrilateral ABCD:

Compute the area of quadrilateral ABCD.

A circle touches all sides of quadrilateral ABCD then which one of these is true :

A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Find the angles subtended at the centre by a pair of opposite sides.

If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

A circle touches the sides of a quadrilateral ABCD at P,Q,R,R,S respectively.Show that the angles subtended at the centre by a pair of opposite sides are supplementary.

A circle touches all the four sides of a quadrilateral ABCD.Prove that AB+CD=BC+DA

In Fig.10.54 a circle touches all the four sides of a quadrilateral ABCD with AB=6cmBC=7cm and CD=4cm. Find AD. (FIGURE)

In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6cm,BC=9cm and CD=8cm. Find the length of side AD.

Let ABCD be a quadrilateral with area 18 , side AB parallel to the side CD, and AB=2CD .Let AD be perpendicular to ABandCD .If a circle is drawn inside the quadrilateral ABCD touching all the sides,then its radius is 3 (b) 2 (c) (3)/(2) (d) 1

ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.5

In the given figure, tangent "PT = 5 cm, PA = 4 cm", find AB:
Text Solution
|
Two circles of radii 13 cm and 5 cm touch internally each other. Find ...
Text Solution
|
Three circles touch each other externally. The distance between their ...
Text Solution
|
A circle touches a quadrilateral ABCD. Find the true statement:
Text Solution
|
O and O' are the centres of two circles which touch each other externa...
Text Solution
|
If AB is a chord of a circle, P and Q are two points on the circle dif...
Text Solution
|
In the given figure, AB and CD are two common to the two touching circ...
Text Solution
|
CD is direct common tangent to two circles intersecting each other at ...
Text Solution
|
O and O' are the centres of circle of radii 20 cm and 30 cm AB = 24 cm...
Text Solution
|
In a circle of radius 5\ c m ,\ A B\ a n d\ A C are two chords s...
Text Solution
|
In a circle of radious 17 cm, two parallel chords are drawn on o...
Text Solution
|
If two equal circles are such that the centre of one lies on e circumf...
Text Solution
|
Two circles touch each other internally. Their radii are 2 cm and 3 cm...
Text Solution
|
In a circle of radius 21 cm, an arc subtends an angle of 72 at the cen...
Text Solution
|
The distance between the centres of equal circles each of radius 3 cm ...
Text Solution
|
The number of common tangents that can be drawn to two given circles i...
Text Solution
|
ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, the...
Text Solution
|
A circle has two parallel chords of lengths 6 cm and 8 cm. If the chor...
Text Solution
|
Three equal circles of unit radius touch each other. Then, the area of...
Text Solution
|
The radius of a circle is 20 cm. The radii (in cm) of three concentric...
Text Solution
|