CBSE Class 11 Mathematics Chapter 6 Linear Inequalities Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Linear Inequalities with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Linear Inequalities MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Linear Inequalities with Answers - Set - 3
Question 1:
If a + b + c > 0, then the roots of the equation 4ax2 + 3bx + 2c =0 are
(a) equal
(b) imaginary
(c) real
(d) None of these
Correct Answer – (C)
Question 2 :
The roots of ax2 + bx + c = 0, where a 0 and coefficients are real, non-real complex and a + c
b, then
(a) 4a + c > 2b
(b) 4a + c < 2b
(c) 4a + c = 2b
(d) None of the above
Correct Answer – (B)
Question 3 :
If aandb are rational andb is not a perfect square, then the quadratic equation with rational coefficients whose one root is
1 /a +√b , is
(a)x2 – 2ax + (a2-b) = 0
(b) (a2-b) x2 – 2ax + 1 =0
(c) (a2-b) x2 – 2bx + 1 =0
(d) None of the above
Correct Answer – (B)
Question 4 :
If the roots of the equation qx2 + px + = 0 are complex, where pand qare real, then the roots of the equation x2 – 4qx + p2 = 0 are
(a) real and unequal
(b) real and equal
(c) imaginary
(d) None of these
Correct Answer – (A)
Question 5 :
Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term coefficient of x2 correctly as 6 and 1 respectively the correct roots are
(a) 3, 2
(b) 3, 2
(c) 6, 1
(d) 6, 1
Correct Answer – (A)
MCQ Class 10 Mathematics Linear Inequalities with Answers
Question 6 :
The number of real solutions of the equation
|x2 + 4x + 3| + 2x + 5 = 0 are
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – (B)
Question 7 :
If (2x2 – 3x +1) (2x2 + 5x+ 1) = 9x2 , then equation has
(a) four real roots
(b) two real and two imaginary roots
(c) four imaginary roots
(d) None of the above
Correct Answer – (A)
Question 8 :
The number of values of the triplet (a, b, c) for which, acos2x + bsin2x +C = 0 is satisfied by all real x, is
(a) 0
(b) 2
(c) 3
(d) infinite
Correct Answer – (D)
Question 9 :
If the roots of the equationx x2 + 2ax + b = 0 are real and distinct and they differ by atmost 2m, then b lies in the interval
(a) (a2 – m2 , a2 )
(b) [a2 – m2 , a2 )
(c) (a2 , m2 + a2 )
(d) None of the above
Correct Answer – (B)
Question 10 :
If one root of the equation x2 + px + 12 = 0 is 4, while the equation x + px + q = 0 has equal roots, then the value of qis
(a) 49/4
(b) 4/49
(c) 4
(d) None of these
Correct Answer – (A)
- NCERT Solutions Class 11 Mathematics Linear Inequalities : Exercise 6.1
- NCERT Solutions Class 11 Mathematics Linear Inequalities : Exercise 6.2
- NCERT Solutions Class 11 Mathematics Linear Inequalities : Exercise 6.3
- NCERT Solutions Class 11 Mathematics Linear Inequalities : Exercise 6 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
