If f:X->Y is continuous and x is a limit point of subset A of X, is f(x) a limit point of f(A)?

If f:X->Y is continuous and x is a limit point of subset A of X, is f(x) a limit point of f(A)?
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And here’s me, thinking i was the only one who heard that rumour…
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If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many solutions Statement 3 : The equations satisfying the condition are parallel Which of the above statements are true ? e) S1 only f) S1 and S2 g) S1 and S3 h) S2 only Answer: (d) S2 o

Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many solutions ... statements are true ? e) S1 only f) S1 and S2 g) S1 and S3 h) S2 only Answer: (d) S2 o

Last Answer : h) S2 only

The value of x and y which satisfy the equations : √ e) x=1,y=0 f) x=0,y=0 g) x=1,y=1 h) x=0,y=1

Description : The value of x and y which satisfy the equations : √ e) x=1,y=0 f) x=0,y=0 g) x=1,y=1 h) x=0,y=1

Last Answer : f) x=0,y=0

The pair of equation x = 4 and y = 3 graphically represents lines which are e) Parallel f) Intersecting at ( 3,4) g) Coincident h) Intersecting at ( 4,3)

Description : The pair of equation x = 4 and y = 3 graphically represents lines which are e) Parallel f) Intersecting at ( 3,4) g) Coincident h) Intersecting at ( 4,3)

Last Answer : h) Intersecting at ( 4,3)

The coordinates of the points where 2x + 5y – 10 =0 meets y axis is e) (0 , 2) f) (0 , -2) g) (2 , 2) h) (-2 , -2)

Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is e) (0 , 2) f) (0 , -2) g) (2 , 2) h) (-2 , -2)

Last Answer : e) (0 , 2)

The point (-1,2) divides the line segment joining the points A(2,5) and B(x,y) in the ratio 3:4, then the value of x2 + y2 is : (a) 27 (b) 28 (c) 29 (d) 30

Description : The point (-1,2) divides the line segment joining the points A(2,5) and B(x,y) in the ratio 3:4, then the value of x2 + y2 is : (a) 27 (b) 28 (c) 29 (d) 30

Last Answer : (c) 29

The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16

Description : The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16

Last Answer : (a) 12

If α , β are the zeroes of f(x) = px 2 – 2x + 3p and α + β = αβ then the value of p is: (a) 1/3 (b) -2/3 (c) 2/3 (d) -1/3

Description : If α , β are the zeroes of f(x) = px 2 – 2x + 3p and α + β = αβ then the value of p is: (a) 1/3 (b) -2/3 (c) 2/3 (d) -1/3

Last Answer : (c) 2/3

In fig. given below, the number of zeroes of the polynomial f(x) is a) 1 (b) 2 (c) 3 (d) None

Description : In fig. given below, the number of zeroes of the polynomial f(x) is a) 1 (b) 2 (c) 3 (d) None

Last Answer : (c) 3

The distance of the point C from the y-axis is: (a) 2 units (b) 4 units (c) 8 units (d) 12 units

Description : The distance of the point C from the y-axis is: (a) 2 units (b) 4 units (c) 8 units (d) 12 units

Last Answer : (c) 8 units

H.C.F of two prime numbers is (a) 1 (b) 0 (c) 3 (d) 2

Description : H.C.F of two prime numbers is (a) 1 (b) 0 (c) 3 (d) 2

Last Answer : (a) 1

If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution

Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution

Last Answer : g) Infintely many solutions

One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be e) 4x + 6y = 18 f) 4x - 6y = - 18 g) -4x – 6y = 18 h) None of these

Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be e) 4x + 6y = 18 f) 4x - 6y = - 18 g) -4x – 6y = 18 h) None of these

Last Answer : f) 4x - 6y = - 18

What's the inverse function of y=1/x^3?

Description : What's the inverse function of y=1/x^3?

Last Answer : answer:It sounds like you use a graphical approach to find inverse functions. That is, you take the graph of the function and flip it over the diagonal line formed by the line y = x. Try this algebraic method: First, switch the x and the y in the equation. Then solve for your new y.

LCM of the given number ̳x‘ and ̳y‘ where y is a multiple of ̳x‘ is given by (a) x (b) y (c) xy (d) xy

Description : LCM of the given number ̳x‘ and ̳y‘ where y is a multiple of ̳x‘ is given by (a) x (b) y (c) xy (d) xy

Last Answer : (b) y

Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above

Description : Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above

Last Answer : (a) Intersects x-axis

The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Description : The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Last Answer : (c) 4 : 1

The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Description : The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Last Answer : d) x = 2 , y = 1

Find x and y , given that + = -1 , – = 4 (a) a and b (b) a and –b (c) -a and b (d) -a and –b

Description : Find x and y , given that + = -1 , – = 4 (a) a and b (b) a and –b (c) -a and b (d) -a and –b

Last Answer : (b) a and –b

What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Description : What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Last Answer : (a) 3,2

If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many solutions Statement 3 : The equations satisfying the condition are parallel Which of the above statements are true ? a) S1 only b) S1 and S2 c) S1 and S3 d) S2 only

Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many ... parallel Which of the above statements are true ? a) S1 only b) S1 and S2 c) S1 and S3 d) S2 only

Last Answer : d) S2 only

The value of x and y which satisfy the equations : √ a) x=1,y=0 b) x=0,y=0 c) x=1,y=1 d) x=0,y=1

Description : The value of x and y which satisfy the equations : √ a) x=1,y=0 b) x=0,y=0 c) x=1,y=1 d) x=0,y=1

Last Answer : b) x=0,y=0

The pair of equation x = 4 and y = 3 graphically represents lines which are a) Parallel b) Intersecting at ( 3,4) c) Coincident d) Intersecting at ( 4,3)

Description : The pair of equation x = 4 and y = 3 graphically represents lines which are a) Parallel b) Intersecting at ( 3,4) c) Coincident d) Intersecting at ( 4,3)

Last Answer : d) Intersecting at ( 4,3)

. The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Description : . The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4

Last Answer : (c) 4 : 1

The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Description : The pair of equations 3 x + y = 81 , 81 x – y = 3 has (a) no solution (b) unique solution (c) infinitely many solutions (d) x = 2 , y = 1

Last Answer : d) x = 2 , y = 1

Find x and y , given that + = -1 , – = 4 (a) a and b (b) a and –b (c) -a and b (d) -a and –b

Description : Find x and y , given that + = -1 , – = 4 (a) a and b (b) a and –b (c) -a and b (d) -a and –b

Last Answer : (b) a and –b

If a + b = 1 ,and the ordered pair (a, b) satisfies the equation 2x + y = , then it also satisfies (a) 2x + y (b) 3x + 4y = 3 (c) x + 2y = (d) 2x + 4y =

Description : If a + b = 1 ,and the ordered pair (a, b) satisfies the equation 2x + y = , then it also satisfies (a) 2x + y (b) 3x + 4y = 3 (c) x + 2y = (d) 2x + 4y =

Last Answer : (c) x + 2y =

What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Description : What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2

Last Answer : (a) 3,2

If (x, y) is a solution of the following pair of linear equations in two variables, then the value of expression (√ is: x + 2y = 4 and 3x - y = 5 (a) 2 (b) 3 (c) 4 (d) √

Description : If (x, y) is a solution of the following pair of linear equations in two variables, then the value of expression (√ is: x + 2y = 4 and 3x - y = 5 (a) 2 (b) 3 (c) 4 (d) √2

Last Answer : (a) 2

The coordinates of the vertices of region bounded by lines 3x - y = 5; x+ 2y = 4 and Y-axis are: (a) A(2,0); B(5,0) and C(1,2) (b) A(2,0); B(-5,0) and C(1,2) (c) A(0,2); B(0,-5) and C(2,1) (d) A(0,2); B(0,5) and C(2,1)

Description : The coordinates of the vertices of region bounded by lines 3x - y = 5; x+ 2y = 4 and Y-axis are: (a) A(2,0); B(5,0) and C(1,2) (b) A(2,0); B(-5,0) and C(1,2) (c) A(0,2); B(0,-5) and C(2,1) (d) A(0,2); B(0,5) and C(2,1)

Last Answer : (c) A(0,2); B(0,-5) and C(2,1)

"Ravi is 10 years older than Rehan. Five years ago, one-seventh of Ravi's age was equal to one-fifth of Rehan's age." If Rehan's age be 'x' years and Ravi's age be 'y' years, which of the following pair of linear equations is describing it algebraically? (a) x - y = 10 and 7x - 5y + 10 = 0 (b) y -x = 10 and 5y -7x + 10 = 0 (c) x + y = 10 and 7x + 5y - 10 = 0 (d) x - y = -10 and 7y - 5x + 10 = 0

Description : "Ravi is 10 years older than Rehan. Five years ago, one-seventh of Ravi's age was equal to one-fifth of Rehan's age." If Rehan's age be 'x' years and Ravi's age be 'y' years, which of the following pair of linear equations is ... y = 10 and 7x + 5y - 10 = 0 (d) x - y = -10 and 7y - 5x + 10 = 0

Last Answer : (b) y -x = 10 and 5y -7x + 10 = 0

The area of the triangular region, in the following figure, bounded by the lines 2x-y=1 and x+2y=13 and Y-axis is (a) 11.25 sq.units (b) 9.75 sq.units (c) 16.25 sq,units (d) 18.75 sq.units

Description : The area of the triangular region, in the following figure, bounded by the lines 2x-y=1 and x+2y=13 and Y-axis is (a) 11.25 sq.units (b) 9.75 sq.units (c) 16.25 sq,units (d) 18.75 sq.units

Last Answer : (a) 11.25 sq.units

A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.

Description : Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.

Last Answer : Answer: x = 3/2 or -3 and y = 3 or -3/2.

If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6

Description : If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6

Last Answer : (b)8

Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet address c) Subnet mask - A 32 bit combination used to describe which portion of an address refers to the subset and which part refers to the host d) Interface - A network connection e) None of These f) All of the Above

Description : Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet address c) ... to the host d) Interface - A network connection e) None of These f) All of the Above

Last Answer : f) All of the Above

The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)

Description : The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)

Last Answer : (c) (2/3, 0)

The coordinates of the point X are: (a) ( - 3,3) (b) (3, - 3) (c) (3,3) (d) (-3,-3)

Description : The coordinates of the point X are: (a) ( - 3,3) (b) (3, - 3) (c) (3,3) (d) (-3,-3)

Last Answer : (c) (3,3)

Reflexivity property says that X Y is true if Y is …………………. A) Subset of X B) Null set of X C) Super set of Y D) Subset of Y

Description : Reflexivity property says that X Y is true if Y is …………………. A) Subset of X B) Null set of X C) Super set of Y D) Subset of Y

Last Answer : A) Subset of X

Neutrinos are a subset of which of the following categories? w) photons x) leptons y) mesons z) baryons

Description : Neutrinos are a subset of which of the following categories? w) photons x) leptons y) mesons z) baryons

Last Answer : ANSWER: X -- LEPTONS

How do I express this equation in terms of Y?

Description : How do I express this equation in terms of Y?

Last Answer : This will become a quadratic equation once you clear Y from the denominator of the rightmost fraction. You can solve it using the quadratic formula.

The coordinates of the points where 2x + 5y – 10 =0 meets y axis is a) (0 , 2) b) (0 , -2) c) (2 , 2) d) (-2 , -2)

Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is a) (0 , 2) b) (0 , -2) c) (2 , 2) d) (-2 , -2)

Last Answer : a) (0 , 2)

The pair of equations y=0 and y=-7 has (a)one solution (b)two solutions (c)no solution (d)infinitely many solutions

Description : The pair of equations y=0 and y=-7 has (a)one solution (b)two solutions (c)no solution (d)infinitely many solutions

Last Answer : (c)no solution

If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10

Description : If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10

Last Answer : (b)12

What's the function to show how much percent must you go up to the same point if you went down 1%, 2%, etc?

Description : What's the function to show how much percent must you go up to the same point if you went down 1%, 2%, etc?

Last Answer : answer:Hmm. An interesting question. Let's do the math out. Let W = the original Whole amount Let X = the percentage to remove (expressed in % form). Then the new amount N = W - (X * W)= W * (1 - X). Let Y = the ... X = 50% ; Y = 100% X = 75% ; Y = 300% X = 99% ; Y = 9900% X = 100% Y = [undefined]

There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ? (a) 36 minutes (b) 18 minutes (c) 6 minutes (d) They will not meet

Description : There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same ... will they meet ? (a) 36 minutes (b) 18 minutes (c) 6 minutes (d) They will not meet

Last Answer : (a) 36 minutes

O is a point on side PQ of a APQR such that PO = QO = RO, then (a) RS2 = PR × QR (b) PR2 + QR2 = PQ2 (c) QR2 = QO2 + RO2 (d) PO2 + RO2 = PR2

Description : O is a point on side PQ of a APQR such that PO = QO = RO, then (a) RS2 = PR × QR (b) PR2 + QR2 = PQ2 (c) QR2 = QO2 + RO2 (d) PO2 + RO2 = PR2

Last Answer : (b) PR2 + QR2 = PQ2

If b = 4 units ,the coordinates of point A on the side PQ which divides PQ internally in the ratio 1: 3 are: (a) (1,0) (b) (3,3) (c) (3,0) (d) (1,1)

Description : If b = 4 units ,the coordinates of point A on the side PQ which divides PQ internally in the ratio 1: 3 are: (a) (1,0) (b) (3,3) (c) (3,0) (d) (1,1)

Last Answer : (a) (1,0)

The coordinates of point A , where AB is the diameter of a circle whose centre is (1,3) and B is (5,4),are: (a) (-3,2) (b) (4,-9) (c) (2,-3) (d) (1/2,-2)

Description : The coordinates of point A , where AB is the diameter of a circle whose centre is (1,3) and B is (5,4),are: (a) (-3,2) (b) (4,-9) (c) (2,-3) (d) (1/2,-2)

Last Answer : (a) (-3,2)

A (5,-1) , B (-3,-2) and C (-1,8) are the vertices of ∆ ABC . The median from A meets BC at D ,then the coordinates of the point D are: (a) (-4,6) (b) (2,7/2) (c) (1,-3/2) (d) (-2,3)

Description : A (5,-1) , B (-3,-2) and C (-1,8) are the vertices of ∆ ABC . The median from A meets BC at D ,then the coordinates of the point D are: (a) (-4,6) (b) (2,7/2) (c) (1,-3/2) (d) (-2,3)

Last Answer : (d) (-2,3)

Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)

Description : Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)

Last Answer : (c) (0,5)