1.If I is the in-centre of ∆ ABC and ∠A = 60°, then the value of ∠BIC is:
(a) 100°
(b) 120°
(c) 150°
(d) 110°
2.ABC is an equilateral triangle. If a, b, and c denotes the lenghts of perpendiculars from A, B and C respectively on the opposite sides then :
(a) a ≠b≠c
(b) a=b=c
(c) a=b=2c
(d) a-b=c
3.The radius of circum - circle of an equilateral triangle of side 12 cm is :
(a) (4/3) √3
(b) 4√2
(c) 4√3
(d) 4
4.In the given figure, BO and CO are the bisector of ∠CBD and ∠BCE respectively and ∠A = 40°, then ∠BOC is equal to :
(a) 60°
(b) 65°
(c) 75°
(d) 70°
5.In ∆ ABC, the sides AB and AC are produced to P and Q respectively. The bisectors of ∠PBC and ∠QCB inersect at a point O, then ∠BOC is equal to :
(a) 90°-1/2 ∠A
(b) 90°+1/2 ∠A
(c) 120°+1/2 ∠A
(d) 120°-1/2 ∠A
6.O is the incentre of ∆ABC and ∠BOC = 130°. Find ∠BAC :
(a) 80°
(b) 40°
(c) 150°
(d) 50°
7.The equidistant point from the vertices of a triangle is called its:
(a) Centroid
(b) in centre
(c) circumcentre
(d) orthocentre
8.In a right-angled triangle ABC, AB = 2.5 cm, cos B = 0.5, ∠ACB = 90°. The length of side AC, in cm is:
(a) 5√3
(b) 5/2 √3
(c) 5/4 √3
(d) 5/16 √3
9.In ∆ ABC, ∠B = 90°, ∠C = 45° and D is the mid-point of AC. If AC = 4√2 units, then BD is :
(a) 2√2 units
(b) 4√2 units
(c) 5/2 units
(d) 2 units
10.In ∆ ABC, G is the centroid, AB = 15 cm, BC = 18 cm, and AC = 25cm. Find GD, where D is the mid-point of BC :
(a) 1/2 √86 cm
(b) 1/3 √86 cm
(c) 7/3 √86 cm
(d) 2/3 √86 cm
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