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Dipti Andra

Asked: 3 years agoIn: Mathematics

The set of all limit point of a set S is called
1. subset
2. derived set
3. closed set
4. open set

Gauransh Merchant

Asked: 3 years agoIn: Mathematics

The angle between the lines \(\sqrt{3}x +y=1\) and \(x+\sqrt{3}y=1\) is
1. 30^o
2. 45^o
3. 60^o
4. none of these

Rachel Himanshu Barad

Asked: 3 years agoIn: Mathematics

Three forces P, Q, R are acting at a point in a plane. The angle between P and Q, Q and R are 150° and 120° respectively, then for equilibrium, forces P, Q, R are in the ratio
1. 1 ∶ 2 ∶ 3
2. 1 ∶ 2 ∶ √3
3. 3 ∶ 2 ∶ 1
4. √3 ∶ 2 ∶ 1

Rakhi Minhas

Asked: 3 years agoIn: Mathematics

A sequence (s_n) of real numbers is called a Cauchy sequence if
1. |sn + sk| < ε
2. |s_n – s_k| < ε
3. |sn – sk| > ε
4. |sn + sk| > ε

Kalpana Bhardwaj

Asked: 3 years agoIn: Mathematics

The necessary condition for a series \(\sum {{u_n}} \) to converge is that
1. \(\mathop {\lim }\limits_{n \to \infty } {u_n} \to 0\)
2. \(\mathop {\lim }\limits_{n \to \infty } {u_n} =1\)
3. \(\mathop {\lim }\limits_{n \to \infty } {u_n} = -1\)
4. None of these

Ananya Jha

Asked: 3 years agoIn: Mathematics

Consider the function\({\rm{\;f\;}}\left( {\rm{x}} \right) = {{\rm{x}}^2} – {\rm{x}} – 2\). The maximum value of f (x) in the closed interval [- 4, 4] is
1. 18
2. 10
3. 2
4. 4

Umesh Kadakia

Asked: 3 years agoIn: Mathematics

For what value of x are the points (1,5), (x,1) and (4,11) collinear?
1. 1
2. 2
3. 3
4. -1

Amrita Singh

Asked: 3 years agoIn: Mathematics

If the lines p(p² + 1)x – y + q = 0 and (p2 + 1)²x + (p2 + 1)y + 2q = 0 are perpendicula to the same line, then find the vaue of p will be,
1. 1
2. -1
3. 0
4. -2

Lalita Sahil Banik

Asked: 3 years agoIn: Mathematics

Every bounded sequence has a convergent subsequence. This is a statement of
1. Bolzano-Weierstrass Theorem
2. Cauchy Theorem
3. Taylor’s Theorem
4. None of these

Virat Mathur

Asked: 3 years agoIn: Mathematics

A function f defined on a closed interval [a, b] is said to be continuous at the end point if
1. it is continuous at the right at ‘a’
2. it is discontinuous at the right at ‘a’
3. the value of ‘a’ is zero
4. f(a) = f(b)

Load More Questions

The set of all limit point of a set S is called
1. subset
2. derived set
3. closed set
4. open set

The angle between the lines \(\sqrt{3}x +y=1\) and \(x+\sqrt{3}y=1\) is
1. 30^o
2. 45^o
3. 60^o
4. none of these

Three forces P, Q, R are acting at a point in a plane. The angle between P and Q, Q and R are 150° and 120° respectively, then for equilibrium, forces P, Q, R are in the ratio
1. 1 ∶ 2 ∶ 3
2. 1 ∶ 2 ∶ √3
3. 3 ∶ 2 ∶ 1
4. √3 ∶ 2 ∶ 1

A sequence (s_n) of real numbers is called a Cauchy sequence if
1. |sn + sk| < ε
2. |s_n – s_k| < ε
3. |sn – sk| > ε
4. |sn + sk| > ε

The necessary condition for a series \(\sum {{u_n}} \) to converge is that
1. \(\mathop {\lim }\limits_{n \to \infty } {u_n} \to 0\)
2. \(\mathop {\lim }\limits_{n \to \infty } {u_n} =1\)
3. \(\mathop {\lim }\limits_{n \to \infty } {u_n} = -1\)
4. None of these

Consider the function\({\rm{\;f\;}}\left( {\rm{x}} \right) = {{\rm{x}}^2} – {\rm{x}} – 2\). The maximum value of f (x) in the closed interval [- 4, 4] is
1. 18
2. 10
3. 2
4. 4

For what value of x are the points (1,5), (x,1) and (4,11) collinear?
1. 1
2. 2
3. 3
4. -1

If the lines p(p² + 1)x – y + q = 0 and (p2 + 1)²x + (p2 + 1)y + 2q = 0 are perpendicula to the same line, then find the vaue of p will be,
1. 1
2. -1
3. 0
4. -2

Every bounded sequence has a convergent subsequence. This is a statement of
1. Bolzano-Weierstrass Theorem
2. Cauchy Theorem
3. Taylor’s Theorem
4. None of these

A function f defined on a closed interval [a, b] is said to be continuous at the end point if
1. it is continuous at the right at ‘a’
2. it is discontinuous at the right at ‘a’
3. the value of ‘a’ is zero
4. f(a) = f(b)

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