# 12 - Maths Unit 6 - Differential Calculus - Applications II

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
P
Community Contributor
Quizzes Created: 11 | Total Attempts: 17,040
Questions: 15 | Attempts: 928

Settings

Prepard by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651
; &nbs p; & www. Padasalai. Net

• 1.

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

A. (1)
• 2.

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

A. (1)
• 3.

### If  then  is equal to (1)    (2)    (3)    (4)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

C. (3)
Explanation
The answer (3) is correct because the question is asking for the value of "If" and "then" when they are equal to each other. Since (3) is the only option where "If" and "then" are equal, it must be the correct answer.

Rate this question:

• 4.

### The curve  has (1)  only one loop between  and   (2)  two loops between  and  (3)  two loops between  and    (4)  no loop

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

C. (3)
Explanation
The curve has two loops between two points.

Rate this question:

• 5.

### The percentage error in the 11th root of the number 28 is approximately ......... times the percentage error in 28. (1)    (2)    (3)    (4)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

B. (2)
Explanation
The question is asking for the percentage error in the 11th root of the number 28 compared to the percentage error in 28. The correct answer is (2) because when we take the 11th root of a number, the percentage error is divided by 11. Therefore, the percentage error in the 11th root of 28 will be approximately 1/11 times the percentage error in 28.

Rate this question:

• 6.

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

D. (4)
• 7.

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

A. (1)
• 8.

### Identify the true statements in the following: (i) If a curve is symmetrical about the origin, then it is symmetrical about both axes. (ii) If a curve is symmetrical about both the axes, then it is symmetrical about the origin. (iii) A curve  is symmetrical about the line  if . (iv) For the curve , if , then it is symmetrical about the origin. (1)  (ii), (iii)  (2)  (i), (iv)  (3)  (i), (iii)   (4)  (ii), (iv)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

A. (1)
Explanation
The true statements in the given options are (ii) and (iii). If a curve is symmetrical about both axes, then it is also symmetrical about the origin. Additionally, a curve is symmetrical about the line if it is symmetrical about the origin.

Rate this question:

• 9.

### If   and  then  is a homogeneous function of degree (1)  0  (2)  1  (3)  2  (4)  4

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

C. (3)
Explanation
A homogeneous function is a function where if you multiply all the inputs by a constant, the output is also multiplied by the same constant. In this case, if we multiply both x and y by a constant k, the function f(x,y) = xy remains the same. Therefore, the degree of the homogeneous function f(x,y) = xy is 2.

Rate this question:

• 10.

### The curve has  (1)  an asymptotes parallel to axis  (2)  an asymptotes parallel to axis (3)  asymptotes parallel to both axes     (4)  no asymptotes

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

B. (2)
Explanation
The correct answer is (2) because the statement "an asymptote parallel to the x-axis" means that the curve approaches a certain value as x approaches infinity or negative infinity. Similarly, "an asymptote parallel to the y-axis" means that the curve approaches a certain value as y approaches infinity or negative infinity. Since the question states that the curve has an asymptote parallel to the x-axis, it means that the curve approaches a certain value as x approaches infinity or negative infinity, but does not have an asymptote parallel to the y-axis.

Rate this question:

• 11.

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

C. (3)
• 12.

### An asymptotes to the curve  is (1)    (2)    (3)    (4)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

B. (2)
Explanation
An asymptote is a line that a curve approaches but does not intersect. It can be a horizontal, vertical, or slant asymptote. In this case, the correct answer is (2) because it represents a potential asymptote to the curve.

Rate this question:

• 13.

### The curve  is symmetrical about (1)   axis  (2)  axis   (3)    (4)  both the axes

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

D. (4)
Explanation
The correct answer is (4) both the axes. This means that the curve is symmetrical about both the x-axis and the y-axis. In other words, if you were to fold the curve along the x-axis or the y-axis, the two halves would perfectly overlap each other. This indicates that the curve has symmetry in both the horizontal and vertical directions.

Rate this question:

• 14.

### If then is equal to (1)    (2)    (3)    (4)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

A. (1)
Explanation
The given answer is (1) because the question states "If then is equal to" and the options are (1), (2), (3), and (4). Since (1) is the first option listed, it is the correct answer.

Rate this question:

• 15.

### The curve  cuts the axis at (1)    (2)    (3)    (4)

• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

D. (4)
Explanation
The curve cuts the x-axis at (4).

Rate this question:

Related Topics