Algebra (Mathematics Chapterwise Solved Papers for Teaching) (Part-4)

Theory of Equation and Inequations

Total Questions: 50

21. Solve the following equation? [UKPSC Lecturer (Mains) 2020]

Correct Answer: (b) (1, 3]
Solution:

22. Suppose that |3๐“|+|2y| โ‰ค1. Then the maximum value of 9๐“+ 4y is: [UKPSC Lecturer (Mains) 2020]

Correct Answer: (c) 3
Solution:Plot graph by taking these equation,

23. Solve the following equation? [Haryana PGT 2020]

Correct Answer: (d) 1/โˆš5
Solution:


24. What will be the value of ๐“ยณ+ yยณ + zยณ, if ๐“ + y + z =0? [DSSSB TGT 04-09-2021 Shift-I (Male)]

Correct Answer: (b) 3๐“yz
Solution:

25. Solve the following equation?

Correct Answer: (c) 64
Solution:

26. If |๐“+3| โ‰ฅ 10 then ๐“ is [UKPSC GIC 2018, JDD-75-PGT TIER-II X-15, 28.06.2015, DSSSB TGT (Section B) 28-12-2014, Section B PGT TIER-I 31.11.2014]

Correct Answer: (b) ๐“ โˆˆ (-โˆž, -13]โˆช[7, โˆž)
Solution:

27. Solve the following equation? [UKPSC Lecturer (Mains) 2020]

Correct Answer: (c) [2, โˆž)
Solution:

28. The solution set of inequality2หฃ+2ยนโปหฃ-3<0 in R is: [UKPSC Lecturer (Mains) 2020]

Correct Answer: (a) (0,1)
Solution:

29. Solution set of inequality 2 |๐“+1| > ๐“+ 4 [UKPSC Lecturer (Mains) 2020]

Correct Answer: (d) (-โˆž,-2)โˆช(2, โˆž)
Solution:

30. Solve the following equation? [UKPSC Lecturer (Mains) 2020]

Correct Answer: (d) (-โˆž,2]
Solution: