### Math 10 Chapter 9 - Part B 1. The relation free from 'x' for equations x | 1/ x= m and x3 | 1/x3 = 4n3 is __________. a) 4n3 = m3 + 4m b) 4n3 = m2 + 3m c) 4n3 = m3 + 3m 2. The relation free from 'x' for equations x = 3p and x = 1/7t is __________. a) 21 pt = 4 b) 21 pt = 2 c) 21 pt = 1 d) 21 pt = 3 3. The relation free from 'y' for equation y2 | 1/y2 = a and y4 + 1/y4 = b4. a) b4 | a3 = 2 b) b3 | a2 = 2 c) b4 | a2 = 2 4. If x + y= 0 and x2 + y2 = b2 , then the relation free from x is y2 = b2 a) False b) True 5. If x = at and y = 2at then the relation free from t is 2x = y a) False b) True 6. For equations x + n= 6 and x + m = 3 the relation free from x is n | m = 3. a) True b) False 7. One equation is required for elimination of one variable. a) True b) False 8. The relation free from 'x' for equations 2x + 3y = 5 and x | y = 2 is 5y =1 a) True b) False 9. An independent relation of 'x' for equation nx2-m=0 and px2 + q = 0 is mp = qn a) True b) False 10. If x-y = t and x2 + y2 = t2, then relation free from t is xy = 2 a) False b) True 11. If x/c + c/x = 2a and x/c | c/x = 3b, then relation free from x is 4a2 | 9b2 = 4 a) False b) True 12. The eliminant by eliminating 'x' for equation x | pq = 0 and x/n = m is pq+ nm = 0 a) False b) True 13. If x | 1/x = 3a and x2 + 1/x2 = b2 then relation free from x is b2 | 9a2 = 2 a) False b) True 14. If x + 1/x = n and x2 + 1/x2= m2 then independent relation of x is n2 = m2 + 2 a) True b) False 15. Independent relation of 't' for equations at = x and 2at = y is x = y a) True b) False 16. If x + a = 0 and b/x = c then relation independent of x is b + ac = 0 a) False b) True 17. If x/a + a/x = 7 then x2/a2 + a2/x2 = 49 a) False b) True 18. Eliminating t from x + t = 6 and y | t = 7 we get x + y = 1 a) False b) True 19. Elimination means to eliminate a certain variable a) True b) False 20. After doing elimination process, the equation obtained is always quadratic . a) False b) True

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