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Q1 Solve 24x < 100, when (i) x is a natural number. (ii) x is an integer. Ans: Our experts will give the answer soon.
Chapter 6 Linear Inequalities
We are familiar with equations, which we get when a polynomial equates to some constant. But when this equals sign replaced with greater than or less than sign, we get inequalities. Not only in maths, it has some real life applications like how many products should be produced for maximisation of profit and comparison of heights of two persons, etc. This chapter consists of linear inequalities, algebraic solution of linear inequalities in one variable and their representation on number line, Graphical solution of linear inequalities and system of linear inequalities in two variables.
Download pdf of NCERT Solutions for Class Mathematics Chapter 6 Linear Inequalities
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Exercise 1
Popular Questions of Class 11 Mathematics
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
Find the sum to n terms of the series 3 × 8 + 6 × 11 + 9 × 14 +…
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are
. - Q:-
The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.
- Q:-
The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.
- Q:-
Find the sum to n terms of the series whose nth term is given by n (n + 1) (n + 4).
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:-
Find the sum to n terms in the geometric progression x3, x5, x7 ... (if x ≠ ±1)
- Q:-
A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
- Q:-
Three coins are tossed. Describe
(i) Two events which are mutually exclusive.
(ii) Three events which are mutually exclusive and exhaustive.
(iii) Two events, which are not mutually exclusive.
(iv) Two events which are mutually exclusive but not exhaustive.
(v) Three events which are mutually exclusive but not exhaustive.
- NCERT Chapter