Geometry questions from RD Sharma

MATHEMATICS FOR SSC/BANK/RLY/CAT/CLAT
BY- SANJAY DUBEY (9301122644) GEOMETRY -7
1. The radius of the circle is 10 cm the length of its 13. BC is the diameter of the circle whose center is O. if A
chord is 12 cm, the distance of the chord from the and D are the two point on either side of this
center is diameter and ∠ then ∠
(1) √ cm (2) 22 cm (3) 2 cm (4) 8 cm (1) (2) (3) (4)
2. The radius of the circle is 17 cm. A chord is at a 14. AB and CD are the two chords of a circle intersecting
distance of 8 cm from the center the length of the each other at P. if ∠ ∠ , find
chord is ∠
(1) 25 cm (2) 22 cm (3) 30 cm (4) 15 cm (1) (2) (3) (4)
3. A chord of length 32 cm is at a distance of 12 cm 15. AC and BD are the two chord of a circle intersecting
from the center. The radius of the circle is each other at E. if ∠ ∠ find
(1)20 cm (2) 22 cm (3) 16 cm (4) √ ∠
4. O is the center of the circle and CD is the diameter. (1) (2) (3) (4)
A chord AB of length 12 cm is perpendicular to CD 16. AB is the chord of a circle whose center is O. D is any
intersect each other at E. if CE = 2 cm then the point on the circumference between minor arc AB, BD
radius of the circle is is joined. If ∠ ∠ then ∠
5. AB is a chord and BC is the diameter of the circle. If (1) (2) (3) (4)
O is the centre of the circle and OD is perpendicular 17. AB is the diameter of the circle whose center is O. if C
to AB, find the length of AC and D are the two points on either side of the
(1) 4 cm (2) 6 cm (3) 8 cm (4) 5 cm diameter AB. If ∠ then ∠
6. BC is the diameter of a circle with center O. A is any (1) (2) (3) (4)
point on the circumference such that AB = AC then 18. AB is the chord of a circle whose center is O. if
∠ ABC = ∠ then ∠
(1) (2) (3) (4) (1) (2) (3) (4)
7. AB and CD are the chords of same length lies on 19. A, B, C are the point on the circumference on the
∠ circle whose center is O. if ∠ ∠
(1) (2) (3) (4) then ∠
8. A, B,C are the three points lying on the (1) (2) (3) (4)
circumference of the circle with center O, if 20. A, B, C are the point on the circumference on the
∠ OAB = then ∠ ACB = circle whose center is O. if ∠ ∠
(1) (2) (3) (4) then ∠
9. A, B and C are the points on the circumference of (1) (2) (3) (4)
the circle whose center is O. if ∠ ACB = 21. AB is the diameter of the circle whose center is O. C
find ∠ AOB and D are the two points on the circumference of the
(1) (2) (3) (4) circle on same side of the diameter. If ∠
10. BC is the diameter of the circle whose center is O. A then ∠
and D are the two points on the circumference of (1) (2) (3) (4)
the circle on either side of this diameter. If ∠ BCA = 22. ABCD is a cyclic quadrilateral. In which AB II CD and
then ∠ CDA = ∠ then ∠
(1) (2) (3) (4) (1) (2) (3) (4)
11. Triangle ABC has a circumcircle. D is another point 23. A, B, C are the point on the circumference on the
on the circumference of the circle and ∠ BAC = circle whose center is O. if ∠ then
,∠ DBC = find ∠ BCD ∠
(1) (2) (3) (4) (1) (2) (3) (4)
12. AB and CD are the two diameter of the circle whose 24. O is the center of the circle and AB is the diameter. C
center is O. if ∠ OCA = then ∠ and D are the points on same side of the diameter AB,
(1) (2) (3) (4) CD II AB, if ∠ then ∠
(1) (2) (3) (4)

CLASSES - FIRST FLOOR, SURYA TOWER OLD HIGH COURT (GWALIOR)