MATH
TEST-30: GEOMETRY
1. In a circle with
centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are
joined. If ∠AOB
= 130o, then ∠BDC
=?
a. 25
b. 30
c. 50
d. 45
2. If in a triangle
ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm
and AC = 22 cm, then length of BC is:
a. 19.5 cm
b. 26 cm
c. 20.5 cm
d. 13 cm
3. The ratio of
interior angle to exterior angle of a regular polygon is 5:1. The number of
sides of polygon is:
a. 10
b11
c.12
d.14
4. A straight line
parallel to BC of
intersects AB and AC at points P and Q
respectively. AP = QC, PB = 4 units and AQ = 9, than the length of AP is:
a. 25 unit
b. 30 unit
c. 6 unit
d. 6.5 unit
5. AC is the diameter
of a circumcircle of
Chord ED is parallel to the diameter AC. If ∠ CBE = 50, then ∠DEC is:
a. 50
b. 90
c.40
d. 55
6. Two chords AB and
CD of circle whose centre is O, meet at the point P and ∠ AOC = 50, ∠BOD = 40.then the value of ∠CPD :
a. 60
b. 40
c. 45
d. 75
7.
ABC and
DBC are
made on same base BC on opposite sides. The line joining vertices A and D
intersect BC at O. Then the ratio of
areas of
and
DBC will be:
a. OB : OC
b. AO : OD
c. AB : CD
d. AC : BD
8. In the Adjoining
figure AD, AE and BC are tangents to the circle at D, E,F respectively, then :
a. AD =
AB+BC+AC
b. 2AD =
AB+BC+AC
c. AD = ½
(AB+ BC+AC)
d. 3AD =
AB+BC+AC
9. If O is the centre
of a circle of radius r and AB is a chord of the circle at a distance r/2 from
O, then ∠BAO
is:
a. 15
b. 30
c. 45
d. 60
10. The tangents are
drawn at the extremities of a diameter AB of a circle with centre P. If a
tangent to the circle at the point C intersects the other two tangents at Q and
R, then the measure of the ∠QPR
=
a. 45
b. 60
c. 90
d. 180
ANSWERS
1.A, 2.D, 3.C, 4.C, 5.C, 6.C, 7.B,
8.B, 9.B, 10.C,
