Algebra (Mathematics Chapterwise Solved Papers for Teaching) (Part-6)

Theory of Equation and Inequations

Total Questions: 50

11. If sum of two roots of equation is š“Ā³-3š“Ā²-4š“ + 12 = 0 is zero. Then all the roots of the equations- [TGT 1999]

Correct Answer: (c) 2, -2, 3
Solution:

12. Solve the following equation? [TGT 1999]

Correct Answer: (b) -2/a
Solution:

13. The domain of the function f(š“)= (1/š“) will be: [TGT 1999]

Correct Answer: (b) Decreasing
Solution:

14. Solve the following equation? [PGT 2011]

Correct Answer: (d) -(3/7)
Solution:

15. If a is a root of equation š“Ā³+2š“Ā²+gš“+1 = 0, then 1/Ī± will also be a root of this equation, when the value of g is- [PGT 2013]

Correct Answer: (d) 2
Solution:

16. Solve the following equation? [PGT 2010]

Correct Answer: (c) zero
Solution:

17. If the roots of the equation yĀ²-āˆš2y+āˆš3=0 are Ī± and Ī² then Ī±ā“+Ī²ā“ will be equal to [PGT 2010]

Correct Answer: (b) 10-8āˆš3
Solution:

18. H.C.F. of š“Ā²+2š“-8 and š“Ā²+š“-12 will be [PGT 2010]

Correct Answer: (c) š“+4
Solution:

19. It the roots of the quadratic equation š“Ā²+pš“+q = 0 are tan30Ā° and tan15Ā°, respectively, then the value of 2+q- p is [PGT 2009]

Correct Answer: (b) 3
Solution:


20. Solve the following equation? [PGT 2009]


Correct Answer: (a)
Solution: