Maths (2)

Maths (2)

• 1.
  PARADISE PUBLIC SCHOOL& COLLEGE UMERKOT A Brand Name for Quality Education Pre-Engineering Mathematics Khalid Hussain Note: Tick the Correct Answer: 1. The roots of the equation ax2 + bn + c = O are complex if b2 − 4ac is ________________. (a) Negative (b) Positive (c) Zero (d) Perfect square 2. If 4 𝑥 = 2 then the valueof x is ___________. (a) − 1 2 (b) 1 2 (c) 2 (d) −2 3. If the sumof two positivenumber is 21 and the sumof their squares 261 then the number are (a) 11 and 10 (b) 6 and 15 (c) 14 and 7 (d) 16 and 5 4. If one root of the equation 𝑥2 + 1 = 0 is “i” then the other root is __________. (a) – i (b) −1 (c) 𝑙2 (d) 𝑖 + 1 5. 𝑤 + 𝑤2 is equal to _________. (a) −1 (b) 1 (c) O (d) 2 6. The Quadratic Equation with roots 2 − √3 and 2 + √3 is. (a) 𝑥2 + 4𝑥 + 1 = 0 (b) 𝑥2 − 4𝑥 + 1 = 0 (c) 𝑥2 − 6𝑥 + 6 = 0 (d) 𝑥2 − 6𝑥 − 6 = 0 7. If 𝑎𝑛 − 2 = 3𝑛 − 11, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 5th term is __________. (a) 4 (b) 7 (c) 10 (d) 13 8. a,ar, ar2 ,ar3 __________ 𝑎𝑟 𝑛−1 is known as the slandered form of a/an (a) A.P (b) G.P (c) H.P (d) A.G.S 9. The next term of the sequence 7,9,12 ……………. is _________. (a) 16 (b) 15 (c) 14 (d) 18 10. The sequence 3, 6, 12 ________ is_________. (a) A.P (b) G.P (c) H.P (d) Infinite 11. The common difference of A.P 17,13,9 …………. is equal to __________. (a) 4 (b) −4 (c) 30 (d) 15 12. The common ratio of G.P 2,4,8 ………. Is (a) 2 (b) 3 (c) 4 (d) 15 13. The product of the roots of the equation 5x2 − x + 2 = 0 is (a) 5 2 (b) − 5 2 (c) 2 5 (d) 2 14. For what valueof K will the equation 𝑛2 − 𝐾𝑛 + 4 = 0 have sum of root equal to product of roots. (a) 3 (b) −2 (c) −4 (d) 4 15. The common ration “r” is also abtained in G. P is. (a) 𝑇𝑖 + 𝑇2 (b) 𝑇2 −𝑇1 (c) 𝑇𝑖 /𝑇2 (d) 𝑇2/𝑇1 16. If the nth term of an A.P is 1 2 (3 − 𝑛) then firstthree terms are (a) 3,2,1 (b) 1,2,3 (c) 1,2,1 (d) 1, 1 2 ,0 17. Sum of series 3 + 6 + 12 +……… to 6th terms. (a) 100 (b) 189 (c) 891 (d) N.O.T 18. The nth term of series 1 + (1 + 2) + (1 + 2 + 3) + is (a) 𝑛 2 (n+1) (b) 𝑛( 𝑛 + 1) (c) ∝ (d) None of these 19. How many terms of the series -8-6-4 ……..make the sum 90. (a) 20 (b) 40 (c) 60 (d) 15 20. The AM between (a + b) and (a − b) is __________. (a) 2𝑎 (b) 2b (c) 𝑎 (d) None of these 21. The nth term of GP is ____________. (a) Tn = arn +1 (b) Tn = arn −1 (c) Tn = a + (n − 1) (d) Tn = a − (n+1) d 22. If 𝑑 = 3, 𝑛 = 12 and 𝑇𝑛 = 26 in A.P what is valueof a (a) 2 (b) −2 (c) −7 (d) None of these 23. 3 1 8 and 7 4 5 are two number their A.M is (a) 437 30 (b) 500 800 (c) 437 80 (d) None of these 24. The given progression 4,3, 9 4 …… is __________ (a) A.P (b) G.P (c) H.P (d) N.O.T 25. If the 7th term of an A.P is 14 and 12th term is 24 Find the firstterm and common difference. (a) 2 and 2 (b) 3 and 2 (c) 4 and 3 (d) 6 and 5