Q1.
In the
given figure,
PQ || AB, and AB || RS and RC || EF. If ÐCRS = 50°, find ÐSTA. .
(a) 40°
(b) 100°
(c) 130°
(d) 140°
Q2.
In the figure given below, ABC is an
equilateral triangle and ÐADB = 105°. What
is ÐDAC? .
(a) 45°
(b) 30°
(c) 15°
(d) 60°
Q3.
In the given figure, ÐACD = 140° and AC = BC. Find the respective angles A, B and C of
triangle ABC. .
(a) 40°, 40°, 100°
(b) 70°, 70°, 40°
(c) 100°, 50°, 30°
(d) 70°, 30°, 80°
Q4.
In the given figure, AD : DB = 1 : 3 and DE
is parallel to BC. If the area of the triangle ABC is 432 cm2, what
is the area of triangle ADE? .
(a) 108 cm2
(b) 144 cm2
(c) 54 cm2
(d) 27 cm2
Q5.
O is the circumcentre of the triangle ABC
with circumradius 25 cm and BC = 48 cm. OD is an altitude in -BOC. Then the length of OD is _______.
(a) 5 cm
(b) 7 cm
(c) 9 cm
(d) 11 cm. .
Q6.
In a triangle ABC, AD, BE and CF are the
medians. G is the centroid. What is the ratio of the area of the quadrilateral
FBDG to triangle ADC? .
(a) 2 : 1
(b) 1 : 3
(c) 3 : 2
(d) 2 : 3
Q7.
X, Y and Z are three collinear points and 0
is not lying on the line XYZ. If ÐXOY = 30° and OA, OB are internal and external bisectors
respectively of ÐXOY, then ÐXOB is _____.
(a) 75°
(b) 90°
(c) 100°
(d) 105°
Q8.
Triangles ABC and DEF are similar and the
area of triangle ABC is half the area of triangle DEF. If AB and DE are
corresponding sides and AB = 6 cm, then find DE. .
(a) 3 cm
(b) 6 cm
(c) 12 cm
(d) 3 cm
Q9.
In the figure given below, ABCD is a
trapezium. If AD is parallel to BC, which of the following is true? .
(a) ÐA + ÐC > ÐB + ÐD
(b) ÐA + ÐC = ÐB + ÐD
(c) ÐA + ÐC < ÐB + ÐD
(d) None of the above
Q10.
The length and the breadth of a rectangle are
respectively equal to the adjacent sides of a parallelogram. If the angle
between the given adjacent sides of the parallelogram is 60°, what is the ratio
of the area of the rectangle to that of the parallelogram? .
(a) 2 :
(b) : 2
(c) : 1
(d) 3 : 1
Answer
1.C.
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2.A.
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3.B.
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4.D.
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5.B.
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6.D.
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7.D.
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8.B.
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9.C.
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10.A.
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