## Linear Inequalities Quiz-2

Mathematics is an important subject in JEE ADVANCED and other engineering exams. In any engineering enterance exam, Mathematics carries weightage of 33% of questions. In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. With focused practice good marks can be fetched from this section. These questions are very important in achieving your success in JEE and Other Engineering Exams.

Q1. If a>0, then least value of (a3+a2+a+1)2 is
•  64a2
•  16a4
•  16a3
•  None of these
Solution
Q2.If l,m,n be the three positive roots of the equation x3-ax2+bx–48=0, then the minimum value of (1/l)+(2⁄m)+(3⁄n) equals
•  1
•  2
•  3/2
•  5/2
Solution
Q3.  If a,b,c, ∈R^+, then the minimum value of a(b2+c2)+b(c2+a2)+c(a2+b2) is equal to
•  abc
•  2abc
•  3abc
•  6abc
Solution

Q4. If ab2c3,a2b3c4,a3b4c5 are in A.P.(a,b,c> 0), then the minimum value of a+b+c is
•  1
•  3
•  5
•  9
Solution

Q5.Minimum value of (b+c)∕a+(c+b)∕b+(a+b)∕c (for real positive numbers a,b,c) is
•  1
•  2
•  4
•  6
Solution
Q6. If a,b,c,R2, then bc(b+c)+ac(a+c)+ab(a+b) is always
•  ≤1/2(a+b+c)
•  ≥1/3 √abc
• ≤1/3(a+b+c)
•  ≥1/3 √abc
Solution

Q7.If a,b,c are positive real numbers such that b+c-a,c+a-b and a+b-c are positive, then (b+c-a)(c+a-b)(a+b-c)- abc is
•  Positive
•  Negative
•  Non-Positive
•  Non-Negative
Solution

Q8.The minimum value of P=bcx+cay+abz, when xyz=abc, is
•  3abc
•  6abc
•  abc
•  4abc
Solution
Q9.If a,b,c,d∈R+ and a,b,c,d are in H.P., then
•  a+d>b+c
•  a+b>c+d
•  a+c>b+d
•  None of these
Solution
Q10. If the product of n positive is nn, then their sum is
•  a positive integer
•  Divisible by n
•  Equal to n+1/n
• Never less than n2
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Linear Inequalities-Quiz-2
Linear Inequalities-Quiz-2