Byju's Answer
Standard IX
Mathematics
Sum of Opposite Angles of a Cyclic Quadrilateral
PQRS is a par...
Question
PQRS is a paralle\log ram. A circle through P, Q is so drawn that intersects PS at A and QR at B. Then, prove that ABRS is a cyclic quadrilateral.
Open in App
Solution
Suggest Corrections
0
Similar questions
Q.
In the figure, a quadrilateral
P
Q
R
S
is drawn to circumscribe a circle. Prove that
P
Q
+
R
S
=
P
S
+
Q
R
Q.
The diagonals PR and QS of a cyclic quadrilateral PQRS intersect at X. The tangent at P is parallel to QS. Prove that
PR bisects
∠
QRS.
Q.
A
B
C
D
is a parallelogram A circle through
A
,
B
is so drawn that it is intersects
A
D
at
P
and
B
C
at
Q
Prove that
P
,
Q
,
C
and
D
are concyclic.
Q.
Question 4
ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C and D are concyclic.
Q.
The diagonals PR and QS of a cyclic quadrilateral PQRS intersect at X. The tangent at P is parallel to QS. Prove that
P
Q
=
P
S
.
If m
∠
P
Q
S
=
50
o
, then m(
∠
P
R
S
) is
View More
Join BYJU'S Learning Program
Select...
Grade/Exam
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade - Commerce
12th Grade - Commerce
IAS
LKG
UKG
1st Grade
2nd Grade
3rd Grade
JEE (11th)
NEET (11th)
JEE & NEET (11th)
JEE (12th)
NEET (12th)
JEE & NEET (12th)
JEE (12th Pass)
NEET (12th Pass)
JEE & NEET (12th Pass)
CAT
Civil Engineering
Electrical Engineering
Computer Science Engineering
Electronics and Communication Engineering
Instrumentation Engineering
Mechanical Engineering
Submit
Related Videos
Circles and Quadrilaterals - Theorem 11
MATHEMATICS
Watch in App
Explore more
Sum of Opposite Angles of a Cyclic Quadrilateral
Standard IX Mathematics
Join BYJU'S Learning Program
Select...
Grade/Exam
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade - Commerce
12th Grade - Commerce
IAS
LKG
UKG
1st Grade
2nd Grade
3rd Grade
JEE (11th)
NEET (11th)
JEE & NEET (11th)
JEE (12th)
NEET (12th)
JEE & NEET (12th)
JEE (12th Pass)
NEET (12th Pass)
JEE & NEET (12th Pass)
CAT
Civil Engineering
Electrical Engineering
Computer Science Engineering
Electronics and Communication Engineering
Instrumentation Engineering
Mechanical Engineering
Submit
Solve
Textbooks
Question Papers
Install app