Part – A: I. Answer any TEN questions 10 × 1 = 10 1. Write the imaginary part of the complex number –3–4i 2. Write A = {4, 8, 12 …….} in rule from 4. Solve for x : logx 625 = 4 6. Solve: 3(x + 5) – 25 = 9 + 2 (x – 7). 7. Find the nature of roots without solving the equation 2×2 + 6x + 3 = 0. 8. What is the simple interest on Rs.650 for 14 weeks at 6% p.a? 9. Define perpetuity? 10. The profit of a business firm for 5 years are Rs.17,598, Rs.20,703, Rs.10,085, Rs.25,375 and Rs.16,315. Find the average profit? 11. Convert the ratio 3 : 5 into percentage. 12. Express 135º in radian measure. 13. If A = 60º, verify cos2A = co2 A – sin2 A 14. Find the distance between the points (5, 8) and (9, 9) 15. Find the slope of the line 3x – 2y + 1 = 0.
Part – B: II. Answer any TEN questions 10 × 2 = 10 16. Find the number of divisors of 672. 17. Find the numbers which when divided by 36, 40 and 48 leaves the same remainder 5. 18. If A × B = {(–1, a), (–1, b), (–2, a), (–2, b)} Find A and B. 20. If the second term of an AP is 4 and tenth term is 20, find the 15th term. 21. Insert 3 GM’s between –4 and –64. 23. Solve by Formula method: 3×2 – x – 10 = 0. 24. Solve 3x – 2 < 2x + 1 (x ∈ R). Represent on the number line. 25. What sum will amount to `6525 at 10% p.a. compounded annually for 13 years? 26. The average score of 20 boys is 60% and the average score of 30 girls is 70%. Find the combined average. 27. If the cost price of 10 articles is equal to the selling price of 9 articles, find the gain percent? 28. A shopkeeper buys 50 pencils for `80 and sells them at 40 pencils for `90. Find his gain or loss percent? 30. Find the value of cos 1125º. 31. Find the co-ordinates of the centroid of the triangle whose vertices are (2, 3), (–5, 2) and (1, 7). 32. Find the equation of the line passing through (4, 3) and with slope 2. 33. Find the equation of the line joining the points (–1, –2) and (–5, –2).
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