MCQ Class 11 Mathematics Linear Inequalities with Answers

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.

Students who are searching for NCERT MCQ Questions for Class 11 Mathematics Linear Inequalities with Answers are compiled here to get good practice on all fundamentals. Know your preparation level on MCQ Questions for Class 11 Mathematics with Answers. You can also verify your answers from our provided MCQ Class 11 Mathematics Linear Inequalities with Answers. So, ace up your preparation with MCQ of Chapter 6 Mathematics Objective Questions.

MCQ Class 11 Mathematics Linear Inequalities with Answers - Set - 4

Question 1: 

If tan A and tan B are the roots of the quadratic equation x2 – px + q = 0, then the value of sin2 (A+B )is 
(a)  p2 / p2 + q2
(b) p2 / (p + q)2
(c) 1 – p/(1-q)2
(d) None of these

Correct Answer – (D)

Question 2 : 

If px2 + x+ 1 is a factor of the expression ax3 + bx + c , then   
(a)a2 + c2 = – ab
(b)a2 – c2 = – ab
(c)a2 – c2 =  ab
(d) None of these

Correct Answer – (C)

Question 3 : 

If the difference of the roots of the equation x2 – Px + 8 = 0 is 2, then the value of P is   
(a) ±4
(b) ±6
(c) ±5
(d) None of these

Correct Answer – (B)

Question 4 : 

If c <d, x2 + (c + d)x + cd <, 0 then x ε     
(a) (d,  c]
(b) (d,  c)
(c) R
(d) S

Correct Answer – (B)

Question 5 : 

If ax2+ bx2 + 6 = 0 does not have two distinct real roots, then the least value of 3a + b is 
(a) 2
(b)  2
(c) 1
(d)  1

Correct Answer – (B)

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Question 6 : 

If 2 + i√3 is a root of the equation x2 + px + q = 0, where p and q are real, then ( p, q) is equal to   
(a) ( 4, 7)
(b) (4,  7)
(c) (4, 7)
(d) ( 4, 7)

Correct Answer – (A)

Question 7 : 

If the sum of the squares of the roots of the equation x2-( a -2) x – (a +1)0 is least, then the value of a is   
(a) 1
(b) 1
(c) 2
(d) 2

Correct Answer – (B)

Question 8 : 

If x2 + ax + 1 is a factor of ax3 + bx + c  , then   
(a) b + a + a = a = c 2 0,
(b) b  a + a = a = c 2 0,
(c) b + a  a = a = 2 0, 0
(d) None of these

Correct Answer – (D)

Question 9 : 

The value of a for which2 2x2 – 2(2a+1)x + a(a+1) may have one root less than a and other root greater than a, is   
(a) 1<a<0
(b) a > 0 or a < 1
(c) a ≥ 0 (d) 1/2 < a < 0

Correct Answer – (B)

Question 10 : 

Conditions on a and b for whichx x2 -ax – b2 is less than zero for atleast one positive x, are   
(a) a > 3, b< 0
(b) a > 3, b> 0
(c) a, b εR
(d) None of these

Correct Answer – (C)

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