81.Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
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82.Let ABC be a right angle in which AB = 6 cm, BC = 8 cm and ∠B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.
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83.Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.
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84.Draw a line segment of length 7.6 cm and divide it in the ratio 3 : 5.
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85.Divide the given line segment AB of length 6 cm internally in the ratio 3 : 4.
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Long Answer Type
86.Divide a line segment 11 cm in the ratio of 2 : 5 (a) internally (b) externally.
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Short Answer Type
87.Construct a triangle ABC in which AB = 5 cm, ∠B = 60° and altitude CD = 3 cm. Construct a triangle AQR similar to ΔABC, such that each side of ΔAQR is 1.5 times that of the corresponding side of ΔABC.
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88.Construct a ΔPBC, similar to a given ΔPQR, with QR = 6 cm, PR = PQ = 5 cm, such that each of its side is 5/7th of the corresponding sides of the ΔPQR.
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89.Draw a ΔABC in which BC = 6 cm, AB = 4 cm and AC = 5 cm. Draw a triangle similar to ΔABC with its sides equal to 3/4th of the corresponding sides of ΔABC.
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90.Construct a ΔABC in which BC = 6 cm, m∠BAC = 60° and median through A is 4.5 cm. Construct a ΔA ‘BC’ similar to ΔABC with BC’ = 8 cm.