Solution
1.
In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and
CA respectively. If the area of the triangle ABC is 20 sq. units, find the area
of the triangle PQR
(a)
10 sq. Units (b) 5.3 sq. Units (c) 5 sq. units (d) None of these
2.
Two circles touch each other internally. Their radii are 2 cm and 3 cm. The
biggest chord of the outer circle which is outside the inner circle is of
length
(a)
2 (2)1/2 cm (b) 3 (2)1/2 cm (c) 2(3)1/2 cm (d)
4(2)1/2 cm
3..
From a circular sheet of paper with a radius of 20 cm, four circles of radius
5cm each are cut out. What is the ratio of the uncut to the cut portion?
(a)
1 : 3 (b) 4 : 1 (c) 3 : 1 (d) 4 : 3
4..The
length of a ladder is exactly equal to the height of the wall it is resting
against. If lower end of the ladder is kept on a stool of height 3 m and the
stool is kept 9 m away from the wall the upper end of the ladder coincides with
the tip of the wall. Then, the height of the wall is
(a)
12 m (b) 15 m (c) 18 m (d) 11 m
5..ABCD
is a square, F is the mid-point of AB and E is a point on BC such that BE is
one-third of BC. If area of DFBE
= 108 m2,
then the length of AC is :
(a)
63 m (b) 36(2)1/2m (c) 63(
2)1/2 m (d) 72(2)1/2 m
6..
The line x + y = 4 divides the line joining the points (–1, 1) and (5, 7) in
the ratio
(a)
2 : 1 (b) 1 : 2 (c) 1 : 2 externally (d)
None of these
7..OA
is perpendicular to the chord PQ of a circle with centre O. If QR is a
diametre, AQ = 4 cm, OQ = 5 cm, then PR is equal to (a) 6 cm (b) 4 cm. (c) 8 cm
(d) 10 cm
8.In
the given fig. AB | | QR, find the length of PB. (a) 3 cm (b) 2 cm (c) 4 cm (d)
6 cm
9.If
ABCD is a square and BCE is an equilateral triangle, what is the measure of the
angle DEC?
(a)
15° (b) 30° (c) 20° (d) 45°
10.In
given fig, if <BAC = 60° and <BCA = 20° find <ADC (a) 60° (b) 45° (c)
80° (d) 90°
11.
In the figure AG = 9, AB = 12, AH = 6, Find HC. (a) 18 (b) 12 (c) 16 (d) 6
12.
In the given figure given below, E is the mid-point of AB and F is the midpoint
of AD. if the area of FAEC is 13, what is the area of ABCD ? (a) 19.5 (b) 26
(c) 39 (d) None of these
13.In
the figure, AB = 8, BC = 7 m, <ABC = 120o. Find AC. (a) 11 (b) 12
(c) 13 (d) 14
14.
In the given figure, AB is chord of the circle with centre O,BT is tangent to
the circle. The values of x and y are (a) 52º, 52º (b) 58º, 52º (c) 58º, 58º (d) 60º, 64
15.
If O is the in-centre of DABC;
if <BOC = 120°, then the measure of <BAC is
(a)
30° (b) 60° (c) 150° (d) 75°
16.Two
circles intersect each other at P
and Q. PA and PB are
two diameters. Then <AQB
is
(a) 120° (b) 135° (c) 160° (d) 180°
17.The
radius of the circumcircle of the triangle made by xaxis, y-axis
and 4x + 3y =
12 is
(a)
2 unit (b) 2.5 unit (c) 3 unit (d) 4 unit
18.Two
circles intersect each other at P
and Q. PA and PB are
two diameters. Then <AQB
is
(a)
120° (b) 135° (c) 160° (d) 180°
19.
The length of the circum-radius of a triangle having sides of lengths 12 cm, 16
cm and 20 cm is (a) 15 cm (b) 10 cm (c) 18 cm (d) 16 cm
20.
D and E are the mid-points of AB and AC of Triangle ABC. If <A = 80°, <C
= 35°, then <EDB is equal to (a) 100° (b) 115° (c) 120° (d) 125°
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