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The domain function of the function f given by f(x) = x³ + 2x² – 4x + 5/ x² -2x – 3 is
Choice (c) is correct. The function f is defined for all values of x except when x² - 2x - 3 = 0 x² - 2x - 3 = 0 ⇒ x² + x -3x - 3 = 0 ⇒ x(x +1) -3(x +1) = 0 (x + 1) (x - 3) = 0 ⇒ x =-1 or x = 3 Hence, the domain of the function is the set of all real numbers except x = 3 or x = -1. Domain of funcRead more
Choice (c) is correct. The function f is defined for all values of x except when x² – 2x – 3 = 0
x² – 2x – 3 = 0 ⇒ x² + x -3x – 3 = 0 ⇒ x(x +1) -3(x +1) = 0
(x + 1) (x – 3) = 0 ⇒ x =-1 or x = 3
Hence, the domain of the function is the set of all real numbers except x = 3 or x = -1. Domain of function f = R – {-1, 3}
This question related to Chapter 2 maths Class 11th NCERT. From the Chapter 2: Relations and Functions. Give answer according to your understanding.
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Relation R is defined as R = {(x + 1, x + 5) : x ∈ (0, 1, 2, 3, 4, 5) : x ∈ (0, 1, 2, 3, 4, 5, )}. The domain of the relation R is
Choice (d) is correct. Since, R = {(x + 1, x + 5) : x ∈ (0, 1, 2, 3, 4, 5)} R = {(1, 5), (2, 6), (3, 7), (4, 8), (5, 9), (6, 10)} Domain (R) = {1, 2, 3, 4, 5, 6} This question related to Chapter 2 maths Class 11th NCERT. From the Chapter 2: Relations and Functions. Give answer according to your undRead more
Choice (d) is correct.
Since, R = {(x + 1, x + 5) : x ∈ (0, 1, 2, 3, 4, 5)}
R = {(1, 5), (2, 6), (3, 7), (4, 8), (5, 9), (6, 10)}
Domain (R) = {1, 2, 3, 4, 5, 6}
This question related to Chapter 2 maths Class 11th NCERT. From the Chapter 2: Relations and Functions. Give answer according to your understanding.
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Given set A = {2, 3, 4, 5, 6} and set B = {0, 1, 2, 3}. A relation R from set A to set B defined as R = {(x, y): x+y =8} is
Choice (a) is correct. A relation R from set A to set B is given by R = {(x, y) : x + y = 8}. x ∈ A and y ∈ B such that x + y = 8 6 ∈ A and 2 ∈ B such that 6 + 2 = 8 ⇒ (6, 2) ∈ R and 5 ∈ A and 3 ∈ B such that 5 + 3 = 8 ⇒ (5, 3) ∈ R and there is no other pair. This question related to Chapter 2 mRead more
Choice (a) is correct.
A relation R from set A to set B is given by R = {(x, y) : x + y = 8}.
x ∈ A and y ∈ B such that x + y = 8
6 ∈ A and 2 ∈ B such that 6 + 2 = 8 ⇒ (6, 2) ∈ R
and 5 ∈ A and 3 ∈ B such that 5 + 3 = 8 ⇒ (5, 3) ∈ R
and there is no other pair.
This question related to Chapter 2 maths Class 11th NCERT. From the Chapter 2: Relations and Functions. Give answer according to your understanding.
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If a set A contains 3 elements, then its power set contains
Choice (b) is correct. The set of all subsets of a set A is called power set of A and is denoted by P(A). If a set A has 3 elements, then number of its subsets is 2³. Hence, the power set of the set A has 8 elements. This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. SetRead more
Choice (b) is correct. The set of all subsets of a set A is called power set of A and is denoted by P(A). If a set A has 3 elements, then number of its subsets is 2³. Hence, the power set of the set A has 8 elements.
This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.
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The equations of x-axis in space are
The x-axis in three-dimensional space consists of all points where the y and z coordinates are zero. Therefore, the equations of the x-axis are: y = 0 and z = 0 In parametric form, the x-axis can be represented as: x = t, y = 0, and z = 0, where t is a parameter. So, the correct answer is: α Click hRead more
The x-axis in three-dimensional space consists of all points where the y and z coordinates are zero. Therefore, the equations of the x-axis are:
y = 0 and z = 0
In parametric form, the x-axis can be represented as:
x = t, y = 0, and z = 0, where t is a parameter.
So, the correct answer is: α
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