Directions - Solve the following questions -

1. In an obtuse-angle triangle ABC, ∠ A is the obtuse angle and O is the orthocenter. If ∠ BOC = 54°, then ∠ BAC is

a) 108°
b) 126°
c) 136°
d) 116°

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2. If the ratio of area of two similar triangles is 9 : 16, then the ratio of their corresponding sides is

a) 3 : 5
b) 3 : 4
c) 4 : 5
d) 4 : 3

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3. Let BE and CF be the two medians of a Δ ABC and G be their intersection. Also let EF cut AG at O. Then, AO : OG is

a) 1 : 1
b) 1 : 2
c) 2 : 1
d) 3 : 1

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4. If S is the circumcentre of Δ ABC and ∠ A = 50°, then the value of ∠ BCS is

a) 20°
b) 40°
c) 60°
d) 80°

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5. AC and BC are two equal chords of a circle. BA is produced to any point P and CP, wen joined cuts the circle at T. Then,

a) CT : TP = AB : CA
b) CT : TP = CA : AB
c) CT : CB = CA : CP
d) CT : CB = CP : CA

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