### Math 10 Chapter 9 - Part C 1. From standard quadratic equations, variable is eliminated by cross multiplication method. a) True b) False 2. A variable may be eliminated by comparison or by substitution method. a) False b) True 3. If x/a + a/x = m and x3/a3 + a3/x3 = n, then relation free from x is m3 =n a) False b) True 4. If y = 2x and y = 2m then eliminant free from y is 2x = m a) True b) False 5. If y = 2/t and y = 1/2s then relation free from y is 4s = t a) True b) False 6. Eliminating 'm' from m2 + 1/m2 =x2 and m + 1/m = y we get x2 | y2 = 2 a) False b) True 7. Eliminating 'm' from m | z = 2 and m + y = 5 we get z + y = 3 a) False b) True 8. Eliminating 'x' from 1/x= 3m and x = 1/3n we get m = n a) False b) True 9. Eliminating t from y = 3t and yt = 1, we get a) y2 = 1 b) y2 = 3 c) y = 3 d) 1/y = 3 10. Eliminating t from x+t =2p and y | t = 4q a) x-y=2p+4q b) x+y = 2p + 4q c) x+y = p +4q d) x-y=2p-4q 11. The relation free from 'x' for equations x = 1/3n, x= m is a) 3m = n b) 3nm = 1 c) 3n = m d) nm = 3 12. Eliminating 'm' for equations m + x = 3c and m | y = 3d, we get a) x-y = 3c+3d b) x+ y = 3c + 3d c) x-y = 3c-3d d) x + y = 3c-3d 13. Eliminating 'm' from m3 = 4t and m = n/4 a) n3 = 256t b) n = 16t c) n3 = 16t d) n = 256t3 14. Eliminating 'z' from x-z = 3 and y + z = 5 a) x-y = 8 b) x + y = 8 c) x + y= 2 d) x � y = 2 15. From equations ax2 + bx + c = 0 and lx2 + mx + n = 0 'x' can be eliminated by the method of a) Application of Formula b) Substitution c) Cross Multiplication d) Comparison 16. If x + 1/x = a + b and x | 1/x = a-b eliminant is a) a2 =b2 b) ab = 1 c) a2 | b2 = 4 d) a2+b2 = 4 17. Eliminating x from x = a, 1/x = bwe get a) b/a = 1 b) ab = -1 c) ab = 1 d) a/b = 1 18. The relation free of t from the equations a + t = 3 and b | t = 5 a) a + b = 8 b) a � b = 8 c) ab = 8 d) a + b = 2 19. If x = 2m and y = 8m then a relation free from 'm' is a) 4y = x b) 4x = y c) x = y d) x + y = 4 20. If z = 7 and z + x = 9 then a relation independent of z is a) x = -2 b) x = -16 c) x =16 d) x = 2

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