In Fig.2, a quadrilateral ABCD is drawn ...

In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.

Topper's Solved these Questions

SAMPLE PAPER 2019
X BOARDS|Exercise SECTION-D 39 (b)|1 Videos

Similar Questions

Explore conceptually related problems

In Figure, a quadrilateral ABCD is drawn to circumscribe a circle . Prove that AB+CD=BC+AD

A quadrilateral ABCD is drawn to circumscribe a circle.Prove that AB+CD=AD+BC

In figure, a quadrilateral ABCD is drawn to circumscribe a circle such that its sides AB, BC, CD and AD touch the circle at P, Q, R and S respectively. If AB = x cm, BC = 7 cm, CR = 3cm and AS = 5cm, then x = ______.

A circle with centre P is inscribed in the Delta ABC Side AB, side BC and side A C touch the circle at points L,M and N respectively . Prove that : A (DeltaABC ) = 1/2 (AB +BC + AC) xxr

Quadrilateral ABCD is circumscribed to a circle. If AB=6cm , BC=7cm and CD=4cm then the length of AD is

The sides AB,BC and AC of a triangle ABC touch a circle with centre O and radius r at P Q,and R respectively.

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

X BOARDS-X Boards-All Questions

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...
Text Solution
|
Let P and Q be the points of trisection of the line segment joining th...
Text Solution
|
In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with...
Text Solution
|
Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a...
Text Solution
|
The fourth term of an A.P is zero. Prove that the 25th term is triple ...
Text Solution
|
In the given figure, from an external point P,two tangents PT and PS a...
Text Solution
|
In fig. O is the center of a circle such that diameter AB=13cm and AC=...
Text Solution
|
If the point P(x, y) is equidistant from the points A(a + b, b-a) and ...
Text Solution
|
Find the area of the shaded region in Fig., if radii of the two conc...
Text Solution
|
If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n +...
Text Solution
|
Solve for x:1/ ((x -1)(x -2))+1/( (x-2)(x-3))=2/ 3', xin1,2,3
Text Solution
|
A conical vessel whose internal radius is 5 cm and height 24cm is f...
Text Solution
|
A sphere of diameter 12 cm, is dropped in a right circular cylindrical...
Text Solution
|
A man standing on the deck of a ship, which is 10 m above water level,...
Text Solution
|
Three different coins are tossed together. Find the probability of get...
Text Solution
|
Prove that the length of the tangents drawn from an external point to ...
Text Solution
|
Draw a pair of tangent to a circle of radius 5 cm which are inclined t...
Text Solution
|
. In the given figure, two equal circles, with centres O and O', touch...
Text Solution
|
Solve for x :1/(x+1) +2/(x+2)=4/(x+4)
Text Solution
|
The angle of elevation of the top Q of a vertical tower PQ from a poin...
Text Solution
|