11th Business Maths Important 3 mark Question Paper

St. Britto Hr. Sec. School - Madurai

11th Business Maths Important 3 mark Question Paper-Aug 2020

Time : 1.30 Hours

Part - A

Generic 3 - Answer All Question

Find the elasticity of demand in terms of x for the demand law \(p={(a-bx)^{1\over 2}}.\) Also find the values of x when elasticity of demand is unity.

Find x if \(\frac { 1 }{ 6! } +\frac { 1 }{ 7! } =\frac { x }{ 8! } \).

If tan \(\alpha={{1}\over{7}},\sin\beta{{1}\over{\sqrt{10}}},\) Prove that \(\alpha+2\beta{{\pi}\over4{}}\) where \(0<\alpha<{{\pi}\over{2}}\) and \(0<\beta<{{\pi}\over{}2}.\)

Convert the following into the product of trigonometric functions
cos4\(\alpha\)-cos8\(\alpha\)

Resolve into Partial Fractions:\(\frac { x-4 }{ { x }^{ 2 }-3x+2 } \)

Find the term independent of x in the expansion of \({ \left( { 2 }x^{ 2 }+\frac { 1 }{ x } \right) }^{ 12 }\)

A person pays Rs 64,000 per annum for 12 years at the rate of 10% per year. Find the annuity [(1.1)¹²= 3.3184]

A man invest Rs 96,000 on Rs 100 shares at Rs 80. If the company pays him 18% dividend, find
(i) the number of shares he buys
(ii) his total dividend
(iii) his percentage return on the shares.

Separate the intervals in which the function x³ + 8x² + 5x - 2 is increasing or decreasing.

Prove that sin600o cos 390^o + cos 480^o sin 150^o = –1

Find the amount of 8% stock that will give an annual income of Rs.80

Calculate the correlation co-efficient from the following data:

X 12 9 8 10 11 13 7

Y 14 8 6 9 11 12 3

Naveen deposits Rs 250 at the beginning of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to atleast Rs 6390?[log(1.1278)=0.0523'log(1.005)=0.0022]

Solve : \(\frac { (2x+1)! }{ (x+2)! } .\frac { (x-1)! }{ (2x-1)! } =\frac { 3 }{ 5 } \)

If A=\(\begin{bmatrix} 3 & 7 \\ 2 & 5 \end{bmatrix}\)and B=\(\begin{bmatrix} 6 & 8 \\ 7 & 9 \end{bmatrix}\)then, verify that (AB)^-1=B^-1A^-1

Differentiate the following with respect to x. (x²-3x+2)(x+1)

Find \(\frac { dy }{ dx } \) for the following function x³+y³+3axy=1

A point moves so that it is always at a distance of 4 units from the point (3, -2)

The parabola y² = Kx passes through the point (4, -2) find its latus rectum and focus.

Solve: 2x+ 5y = 1 and 3x + 2y = 7 using matrix method.

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)^-16 = 0.2919]

Daily income (in Rs) of ten families of a particular place is given below. Find out GM
85, 70, 15, 75, 500, 8, 45, 250, 40, 36

In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 questions is Part I, Part II and Part III respectively. What is the number of possible combinations in which she can choose the questions?

Calculate the harmonic mean for the following data:

Size of items 50-60 60-70 70-80 80-90 90-100

No.of items 12 15 22 18 10

Bag I contains 3 red and 4 blue balls while another Bag II contains 5 red and 6 blue balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from second Bag.

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Size of items	50-60	60-70	70-80	80-90	90-100
No.of items	12	15	22	18	10

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11th Business Maths Important 3 mark Question Paper

St. Britto Hr. Sec. School - Madurai

11th Business Maths Important 3 mark Question Paper-Aug 2020

Part - A

Generic 3 - Answer All Question

Find the elasticity of demand in terms of x for the demand law \(p={(a-bx)^{1\over 2}}.\) Also find the values of x when elasticity of demand is unity.

Find x if \(\frac { 1 }{ 6! } +\frac { 1 }{ 7! } =\frac { x }{ 8! } \).

If tan \(\alpha={{1}\over{7}},\sin\beta{{1}\over{\sqrt{10}}},\) Prove that \(\alpha+2\beta{{\pi}\over4{}}\) where \(0<\alpha<{{\pi}\over{2}}\) and \(0<\beta<{{\pi}\over{}2}.\)

Convert the following into the product of trigonometric functions cos4\(\alpha\)-cos8\(\alpha\)

Resolve into Partial Fractions:\(\frac { x-4 }{ { x }^{ 2 }-3x+2 } \)

Find the term independent of x in the expansion of \({ \left( { 2 }x^{ 2 }+\frac { 1 }{ x } \right) }^{ 12 }\)

A person pays Rs 64,000 per annum for 12 years at the rate of 10% per year. Find the annuity [(1.1)12 = 3.3184]

A man invest Rs 96,000 on Rs 100 shares at Rs 80. If the company pays him 18% dividend, find (i) the number of shares he buys (ii) his total dividend (iii) his percentage return on the shares.

Separate the intervals in which the function x3 + 8x2 + 5x - 2 is increasing or decreasing.

Prove that sin600o cos 390o + cos 480o sin 150o = –1

Find the amount of 8% stock that will give an annual income of Rs.80

Calculate the correlation co-efficient from the following data: X 12 9 8 10 11 13 7 Y 14 8 6 9 11 12 3

Naveen deposits Rs 250 at the beginning of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to atleast Rs 6390?[log(1.1278)=0.0523'log(1.005)=0.0022]

Solve : \(\frac { (2x+1)! }{ (x+2)! } .\frac { (x-1)! }{ (2x-1)! } =\frac { 3 }{ 5 } \)

If A=\(\begin{bmatrix} 3 & 7 \\ 2 & 5 \end{bmatrix}\)and B=\(\begin{bmatrix} 6 & 8 \\ 7 & 9 \end{bmatrix}\)then, verify that (AB)-1=B-1A-1

Differentiate the following with respect to x. (x2-3x+2)(x+1)

Find \(\frac { dy }{ dx } \) for the following function x3+y3+3axy=1

A point moves so that it is always at a distance of 4 units from the point (3, -2)

The parabola y2 = Kx passes through the point (4, -2) find its latus rectum and focus.

Solve: 2x+ 5y = 1 and 3x + 2y = 7 using matrix method.

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)-16 = 0.2919]

Daily income (in Rs) of ten families of a particular place is given below. Find out GM 85, 70, 15, 75, 500, 8, 45, 250, 40, 36

In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 questions is Part I, Part II and Part III respectively. What is the number of possible combinations in which she can choose the questions?

Calculate the harmonic mean for the following data: Size of items 50-60 60-70 70-80 80-90 90-100 No.of items 12 15 22 18 10

Bag I contains 3 red and 4 blue balls while another Bag II contains 5 red and 6 blue balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from second Bag.

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Convert the following into the product of trigonometric functions
cos4\(\alpha\)-cos8\(\alpha\)

A person pays Rs 64,000 per annum for 12 years at the rate of 10% per year. Find the annuity [(1.1)¹²= 3.3184]

A man invest Rs 96,000 on Rs 100 shares at Rs 80. If the company pays him 18% dividend, find
(i) the number of shares he buys
(ii) his total dividend
(iii) his percentage return on the shares.

Separate the intervals in which the function x³ + 8x² + 5x - 2 is increasing or decreasing.

Prove that sin600o cos 390^o + cos 480^o sin 150^o = –1

Calculate the correlation co-efficient from the following data:

X 12 9 8 10 11 13 7

Y 14 8 6 9 11 12 3

If A=\(\begin{bmatrix} 3 & 7 \\ 2 & 5 \end{bmatrix}\)and B=\(\begin{bmatrix} 6 & 8 \\ 7 & 9 \end{bmatrix}\)then, verify that (AB)^-1=B^-1A^-1

Differentiate the following with respect to x. (x²-3x+2)(x+1)

Find \(\frac { dy }{ dx } \) for the following function x³+y³+3axy=1

The parabola y² = Kx passes through the point (4, -2) find its latus rectum and focus.

What is the present value of an annuity due of Rs 1,500 for 16 years at 8% per annum? [(1.08)^-16 = 0.2919]

Daily income (in Rs) of ten families of a particular place is given below. Find out GM
85, 70, 15, 75, 500, 8, 45, 250, 40, 36

Calculate the harmonic mean for the following data:

Size of items 50-60 60-70 70-80 80-90 90-100

No.of items 12 15 22 18 10