Q1.
ABC is a right angle triangle with right angle at B. D is a point on AC such that ABD = 45°. If AC = 6 cm and AD = 2cm then AB is
(A) 6/√5 cm                        (B) 3√2 cm                             (C) 12/√5 cm                         (D) 2 cm             (E) 6√5 cm

Q2.
Let F be an arbitrary point on the side AB of an acute angled triangle ABC. Let D be the point of intersection of BC with the straight line AD drawn parallel to FC through A. Let E be the point of intersection of AC with straight line BE drawn parallel to FC through B. If AD = 2 cm and BE = 3 cm then FC is:
(A) 1 cm       (B) 6/5 cm      (C) 7/6 cm       (D) 9/5 cm       (E) 11/6 cm

Q3.
For a regular octagon inscribed in a circle of radius 1, the product of the distances from a fixed vertex to the other seven vertices is:
(A) 4                                    (B) 8                    (C) 12                                    (D) 16                                    (E) 20