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Total questions: 22
Worksheet time: 11mins
A man goes 15 m due west and then 8 m due north. Find distance from the starting
point.
6m
18m
17m
13m
A certain right-angled triangle has its area numerically equal to its perimeter. The
length of each side is an even integer, what is the perimeter?
25 units
34 units
24 units
30 units
In an isosceles triangle ABC, AB=AC=25 cm and BC = 14 cm, then altitude from A on BC
=
24 cm
34 cm
20cm
50cm
D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is
3
2.5
4
3.5
In a square of side 10 cm, its diagonal = …
5
10 root 2
6
2
If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then
2a = b
a = -b
a = 2b
a = b
. Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is
(10, 2)
(-10,2)
(10,-2)
(-10,-2)
The points (1,1), (-2, 7) and (3, -3) are
vertices of an equilateral triangle
collinear
vertices of an isosceles triangle
none of these
If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is
-12
12
-4
15
If sin A – cos A = 0, then the value of sin4 A + cos4 A is
1
2
3
1/2
What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
1
0
4
3
5 tan² A – 5 sec² A + 1 is equal to
-4
2
5
76
sin 2B = 2 sin B is true when B is equal to
90°
0°
60
30°
If x and y are complementary angles, then
cos x = cos y
tan x = tan y
sin x = sin y
sec x = cosec y
The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is
10√33 m
√3 m
√3 m
√3/5 m
A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is
6√3 m
6√3 m
3√3 m
2√3 m
The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is
√3 m
√3 m
5√3m
10√3 m
The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is
30°
45°
60°
90°
From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
60 cm²
65 cm²
30 cm²
32.5 cm²
In given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is
6 cm
5 cm
4 cm
3 cm
In the following figure, tangents PQ and PR are drawn to a circle such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ, then ∠RQS.
30°
60°
20°
90°
In the following figure, AB is a chord of the circle and AOC is its diameter such that ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to
65°
60°
50°
40°
