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Arts (English Medium) इयत्ता ११ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(i) 0.1 0.01 0.05 0.03 0.01 0.2 0.6
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(ii)
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

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Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(iii) 0.7 0.06 0.05 0.04 0.03 0.2 0.1
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(iv)
\[\frac{1}{14}\]
\[\frac{2}{14}\]
\[\frac{3}{14}\]
\[\frac{4}{14}\]
\[\frac{5}{14}\]
\[\frac{6}{14}\]
\[\frac{15}{14}\]
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

In a single throw of three dice, find the probability of getting the same number on all the three dice.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that: all 10 are defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that all 10 are good

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability thatat least one is defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that none is defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Two dice are thrown together. The probability that neither they show equal digits nor the sum of their digits is 9 will be

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Find the equation of the ellipse whose centre is (−2, 3) and whose semi-axis are 3 and 2 when major axis is (i) parallel to x-axis (ii) parallel to y-axis.

[10] Conic Sections
Chapter: [10] Conic Sections
Concept: undefined >> undefined

Find the equation of an ellipse, the distance between the foci is 8 units and the distance between the directrices is 18 units.

[10] Conic Sections
Chapter: [10] Conic Sections
Concept: undefined >> undefined

Find the equation of an ellipse whose vertices are (0, ± 10) and eccentricity e = \[\frac{4}{5}\] 

[10] Conic Sections
Chapter: [10] Conic Sections
Concept: undefined >> undefined

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

All the students who study Mathematics study English, but some students who study English do not study Mathematics.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

There is no student who studies both Mathematics and English.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Not all students study Mathematics, but every students studying English studies Mathematics.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let U be the set of all boys and girls in a school, G be the set of all girls in the school, B be the set of all boys in the school, and S be the set of all students in the school who take swimming. Some, but not all, students in the school take swimming. Draw a Venn diagram showing one of the possible interrelationship among sets U, G, B and S.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

If for real values of x, cosθ = `x + 1/x`, then ______.

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the derivative of 2x4 + x.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined
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