Question 1

Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain the same, but if the length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². Based on the information given above, answer the following question

Q1.The equations in terms of X and Y are

Accepted Answer

x –y = 50, 2x + y = 550

Answer

x –y = 50, 2x – y = 550

Answer

x +y = 50, 2x + y = 550

Answer

x +y = 50, 2x + y = 550

Question 2

Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain the same, but if the length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². Based on the information given above, answer the following question

Q1.The equations in terms of X and Y are

Q 2. Which of the following matrix equation is represented by the given information?

Accepted Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 3

Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain the same, but if the length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². Based on the information given above, answer the following question

Q1.The equations in terms of X and Y are

Q 3. The value of x (length of the rectangular field) is

Accepted Answer

200 m

Answer

320 m

Answer

150 m

Answer

400 m

Question 4

Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain the same, but if the length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². Based on the information given above, answer the following question

Q1.The equations in terms of X and Y are

Q 4. The value of y (breadth of rectangular field) is

Accepted Answer

150 m

Answer

200 m

Answer

430 m

Answer

350 m

Question 5

Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain the same, but if the length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m². Based on the information given above, answer the following question

Q1.The equations in terms of X and Y are

Q5.How much is the area of the rectangular field?

Accepted Answer

30000 sq m

Answer

30000 m

Answer

3000 m

Answer

60000 sq m.

Question 6

Raja purchases 3 pens, 2 pencils and 1 mathematics instrument box and pays ₹ 41 to the shopkeeper. His friends, Dayaand Anil purchases 2 pens, 1 pencil, 2 instrument boxes and 2 pens, 2 pencils and 2 mathematical instrument boxes respectively. Daya and Anil pays ₹ 29 and ₹ 44 respectively. Based on the above information answer the following

Q1.The cost of one pen is

Accepted Answer

₹ 2

Answer

₹ 10

Answer

₹ 15

Answer

₹ 5

Question 7

Raja purchases 3 pens, 2 pencils and 1 mathematics instrument box and pays ₹ 41 to the shopkeeper. His friends, Dayaand Anil purchases 2 pens, 1 pencil, 2 instrument boxes and 2 pens, 2 pencils and 2 mathematical instrument boxes respectively. Daya and Anil pays ₹ 29 and ₹ 44 respectively. Based on the above information answer the following

Q1.The cost of one pen is

Q2. The cost of one pen and one pencil is

Accepted Answer

₹ 17

Answer

₹ 5

Answer

₹ 10

Answer

₹ 15

Question 8

Raja purchases 3 pens, 2 pencils and 1 mathematics instrument box and pays ₹ 41 to the shopkeeper. His friends, Dayaand Anil purchases 2 pens, 1 pencil, 2 instrument boxes and 2 pens, 2 pencils and 2 mathematical instrument boxes respectively. Daya and Anil pays ₹ 29 and ₹ 44 respectively. Based on the above information answer the following

Q1.The cost of one pen is

Q3. The cost of one pen and one mathematical instrument box is

Accepted Answer

₹ 7

Answer

₹ 15

Answer

₹ 18

Answer

₹ 10

Question 9

Raja purchases 3 pens, 2 pencils and 1 mathematics instrument box and pays ₹ 41 to the shopkeeper. His friends, Dayaand Anil purchases 2 pens, 1 pencil, 2 instrument boxes and 2 pens, 2 pencils and 2 mathematical instrument boxes respectively. Daya and Anil pays ₹ 29 and ₹ 44 respectively. Based on the above information answer the following

Q1.The cost of one pen is

Q4.The cost of one pencil and one mathematical instrumental box is

Accepted Answer

₹ 20

Answer

₹ 10

Answer

₹ 5

Answer

₹ 15

Question 10

Raja purchases 3 pens, 2 pencils and 1 mathematics instrument box and pays ₹ 41 to the shopkeeper. His friends, Dayaand Anil purchases 2 pens, 1 pencil, 2 instrument boxes and 2 pens, 2 pencils and 2 mathematical instrument boxes respectively. Daya and Anil pays ₹ 29 and ₹ 44 respectively. Based on the above information answer the following

Q1.The cost of one pen is

Q5.The cost of one pen, one pencil and one mathematical instrumental box is

Accepted Answer

₹ 22

Answer

₹ 25

Answer

₹ 15

Answer

₹ 10

Question 11

CThree students in a group, studying the concept of the partial fraction, but they were confused while solving the question they didn’t have any idea to how to start the solution. One of the student tell them, for the integration by partial fraction, first, we must check we are dealing with polynomial and degree of the numerator is less than the degree of the denominator and proceed for partial fraction, if not, divide numerator by denominator and write it as $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ and proceed for partial fraction of $\frac{Remainder}{Deno\min ator}$ . Based on the above information, answer the following:

Q1.If the function is f (x) = $\frac{2}{\left(1-x\right)\left(1+x^2\right)}$ , the partial fraction of the given function in constant term A, B and C can be written

Accepted Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 12

Three students in a group, studying the concept of the partial fraction, but they were confused while solving the question they didn’t have any idea to how to start the solution. One of the student tell them, for the integration by partial fraction, first, we must check we are dealing with polynomial and degree of the numerator is less than the degree of the denominator and proceed for partial fraction, if not, divide numerator by denominator and write it as $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ and proceed for partial fraction of $\frac{Remainder}{Deno\min ator}$ . Based on the above information, answer the following:

Q2. The value of A is

Accepted Answer

1

Answer

3

Answer

0

Answer

2

Question 13

Three students in a group, studying the concept of the partial fraction, but they were confused while solving the question they didn’t have any idea to how to start the solution. One of the student tell them, for the integration by partial fraction, first, we must check we are dealing with polynomial and degree of the numerator is less than the degree of the denominator and proceed for partial fraction, if not, divide numerator by denominator and write it as $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ and proceed for partial fraction of $\frac{Remainder}{Deno\min ator}$ . Based on the above information, answer the following:

Q3.The value of B is

Accepted Answer

1

Answer

3

Answer

2

Answer

0

Question 14

Three students in a group, studying the concept of the partial fraction, but they were confused while solving the question they didn’t have any idea to how to start the solution. One of the student tell them, for the integration by partial fraction, first, we must check we are dealing with polynomial and degree of the numerator is less than the degree of the denominator and proceed for partial fraction, if not, divide numerator by denominator and write it as $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ and proceed for partial fraction of

$\frac{Remainder}{Deno\min ator}$ . Based on the above information, answer the following:

Q4.The value of C is

Accepted Answer

1

Answer

0

Answer

3

Answer

2

Question 15

Three students in a group, studying the concept of the partial fraction, but they were confused while solving the question they didn’t have any idea to how to start the solution. One of the student tell them, for the integration by partial fraction, first, we must check we are dealing with polynomial and degree of the numerator is less than the degree of the denominator and proceed for partial fraction, if not, divide numerator by denominator and write it as $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ and proceed for partial fraction of

$\frac{Remainder}{Deno\min ator}$ .Based on the above information, answer the following:

Q5.The integration of the function f(x) is

Accepted Answer

–log|1– x| + $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ log|1 + x²| + tan^–1 x+ C

Answer

–log|1– x| + $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ log|1 – x²| + tan^–1x + C

Answer

log|1– x| + $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ log|1 + x²| + tan^–1 x+ C

Answer

–log|1+ x²| + $\frac{Remainder}{Deno\min ator}$ log|1 – x²| + tan^–1 x+ C

Question 16

The definite integrals are used to calculate the area bounded by the simple curve of the given function within the given limit. The definite integral is given by $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ Based on the above information, answer the following:

Q1.If the definite integral is given by $\int_a^bf\left(x\right)dx$ then it can be written as

Accepted Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 17

The definite integrals are used to calculate the area bounded by the simple curve of the given function within the given limit. The definite integral is given by $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ Based on the above information, answer the following:

Q2.If a = b, then the value of the definite integral will be

Accepted Answer

0

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 18

The definite integrals are used to calculate the area bounded by the simple curve of the given function within the given limit. The definite integral is given by $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ .Based on the above information, answer the following:

Q3.If the function f (x) is an odd function and a = –b, then the value of definite integral will be

Accepted Answer

0

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 19

The definite integrals are used to calculate the area bounded by the simple curve of the given function within the given limit. The definite integral is given by $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ Based on the above information, answer the following:

Q4.If f (x) is an even function and a = –b, then the value of definite integral will be

Accepted Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

0

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Question 20

The definite integrals are used to calculate the area bounded by the simple curve of the given function within the given limit. The definite integral is given by $\frac{Numerator}{Deno\min ator}=Quotient+\frac{Remainder}{Deno\min ator\ }\mathrm{\ }$ Based on the above information, answer the following:

Q5.If a = 0, then the definite integral will be

Accepted Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Answer

$\left[_{2\ \ \ \ \ 1}^{1\ \ -1}\right]\left[_y^x\right]=\left[_{550}^{50}\right]$

Related quizzes

Related quizzes