Class 11 Mathematics - Chapter Sets NCERT Solutions | Let A = {1, 2, 3, 4, 5, 6}. Insert the a
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:
(i) 5__A
(ii) 8__A
(iii) 0__A
(iv) 4__A
(v) 2__A
(vi) 10__A
(i) 5 ∈ A
(ii) 8 ∉ A
(iii) 0 ∉ A
(iv) 4 ∈ A
(v) 2 ∈ A
(vi) 10 ∉ A
More Questions From Class 11 Mathematics - Chapter Sets
- 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:- Write the following sets in the set-builder form:
(i) (3, 6, 9, 12)
(ii) {2, 4, 8, 16, 32}
(iii) {5, 25, 125, 625}
(iv) {2, 4, 6 upto infinity}
(v) {1, 4, 9, upto 100}
Popular Questions of Class 11 Mathematics
- Q:-
Solve 24x < 100, when
(i) x is a natural number. (ii) x is an integer. - Q:-
Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
- Q:-
A point is on the x-axis. What are its y-coordinates and z-coordinates?
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
Find the equation of the circle with centre (0, 2) and radius 2
- Q:-
Describe the sample space for the indicated experiment: A coin is tossed three times.
- Q:-
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
- Q:- Write the first five terms of the sequences whose nth term is an=n(n+2)
- Q:-
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
- Q:-
The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
Describe the sample space for the indicated experiment: A coin is tossed four times.
- Q:-
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
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Describe the sample space for the indicated experiment: A die is thrown two times.
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Find the sum to n terms of the series
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A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
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The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
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If the pth, qth and rth terms of a G.P. are a, b and c, respectively. Prove that aq-rbr-pcp-q=1
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If the first and the nth term of a G.P. are a ad b, respectively, and if P is the product of n terms, prove that P2 = (ab)n.
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Find the sum to n terms of the series 3 × 8 + 6 × 11 + 9 × 14 +…
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Find the derivative of x2 – 2 at x = 10.
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