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Sample Question Papers (Q 16- Q 20) Answ...

Sample Question Papers (Q 16- Q 20) Answer the following 16. Write one rational and one irrational number lying between 0.25 and 0.32 17. In the figure, if ZACB = 2CDA, AC = 6 cm and AD = 3 cm, then find the length of AB 18. If the angle between two tangents drawn from an external point 'P' to a circle of radius 'r' and centre O is 60°, then find the length of OP. OR If the radii of two concentric circles are 4 cm and 5 cm, then find the length of the chord of one circle which is tangent to the other circle. 19. If the first three terms of an A.Pare b, c and 2b, then find the ratio of bande 20. Find the value(s) of k for which the quadratic equation x + 212 kx +18 = 0 has equal roots Section 'B' 21. Find the number of natural numbers between 102 and 998 which are divisible by 2 and 5 both 22. Prove that the rectangle circumscribing a circle is a square. 23. In the given figure, DEFG is a square and ZBAC =%Y". Show that FG-BG FC OR In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. 24. 'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The 'Skysails technology allows the towing kite to gain a height of anything between 100 metres - 300 metres. The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a 'telescopic mast' that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions: C40 (i) in the given figure, if sin cos (30 - 30%), where 8 and 30 -30 are acute angles, then find the value of 0. (ii) What should be the length of the rope of the kite sail in order to pull the ship at the angle o (calculated above) and be at a vertical height of 200 m? 25. Jayanti throws a pair of dice and records the product of the numbers appearing on the dice. Pihu throws 1 dice and records the squares the number that appears on it. Who has the better chance of getting the number 36? Justify?

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