Geometry

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21 In a triangle ABC, altitude is drawn from A to the side BC, name it as D, then what will the angle measure CAD

A
C
B
A
C
90 - C
B
90 - A

22 I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is:

A
55°
B
125°
C
70°
D
65°

23 A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at O & D respectively. If AB = 13 cm, then the length of OD is ……:

A
13 cm
B
12 cm
C
8.5 cm
D
7.5 cm

24 In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is:

A
20°
B
40°
C
55°
D
110°

25 O is the incentre of ΔABC and ∠A = 30°, then ∠BOC is:

A
100°
B
105°
C
110°
D
90°

26 In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If ∠QPR = 40°, then ∠ACB is equal to:

A
140°
B
40°
C
70°
D
100°

27 In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is:

A
120°
B
60°
C
30°
D
90°

28 I is the incentre of a triangle ABC. If ∠ACB = 55°, ∠ABC = 65° then the value of ∠BIC is:

A
130°
B
120°
C
140°
D
110°

29 In a triangle ABC, a circle which touches the edges of all three sides is called 

A
in circle
B
out circle
C
edged circle
D
circumcircle

30 In any triangle ABC, of length of the sides, a, b and c which of the following option is true ?

A
a + b < c
B
a + b  <=c
C
a + b >=c
D
a + b > c