MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Differential Calculus knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In an polar curve r=f ( ) what is the relation between & the coordinates (x,y)? |
| A. | tan u2061 = ( frac{x}{y} ) |
| B. | (1+sin u2061 ) = ( frac{y}{x} ) |
| C. | (1+sec<sup>2</sup> ) = ( frac{y^2}{x^2} ) |
| D. | (1+cos u2061 ) = ( frac{x}{y} ) |
| Answer» D. (1+cos u2061 ) = ( frac{x}{y} ) | |
| 2. |
Polar equations of the circle for the given coordinate (x,y) which satisfies the equation given by (x-a)2+(y-b)2=r2 where (a,b) is the coordinates of the centre of the circle &r is the radius. |
| A. | x = r cos u2061 , y = r sin u2061 |
| B. | x = a+ r cos u2061 , y = b + r sin u2061 |
| C. | y = a+r cos u2061 , x = b + r sin u2061 |
| D. | x = r sin u2061 , y = r cos u2061 |
| Answer» C. y = a+r cos u2061 , x = b + r sin u2061 | |
| 3. |
The length of the perpendicular from the pole to the tangent at the point = ( frac{ }{2} ) on the curve. r=a sec2( ( frac{ }{2} )) is _____ |
| A. | (p = frac{2a}{ sqrt{3}} ) |
| B. | (p = frac{4a}{ sqrt{3}} ) |
| C. | (p = 2a sqrt{2} ) |
| D. | p = 4a |
| Answer» D. p = 4a | |
| 4. |
The pedal Equation of the polar curve rn=an cos n is given by ______ |
| A. | r<sup>n</sup>=pa<sup>n</sup> |
| B. | r<sup>n-1</sup>=pa<sup>n</sup> |
| C. | r<sup>n+1</sup>=pa<sup>n+1</sup> |
| D. | r<sup>n+1</sup>=pa<sup>n</sup> |
| Answer» E. | |
| 5. |
One among the following is the correct explanation of pedal equation of an polar curve, r=f ( ), p=r sin( ) (where p is the length of the perpendicular from the pole to the tangent & is the angle made by tangent to the curve with vector drawn to curve from pole)is _______ |
| A. | It is expressed in terms of p & only |
| B. | It is expressed in terms of p & only |
| C. | It is expressed in terms of r & only |
| D. | It is expressed in terms of p& r only |
| Answer» E. | |
| 6. |
Angle of intersection between two polar curves given by r=a(1+sin ) & r=a(1-sin ) is given by ________ |
| A. | ( frac{ }{4} ) |
| B. | ( frac{ }{2} ) |
| C. | |
| D. | 0 |
| Answer» C. | |
| 7. |
The angle between Radius vector r=a(1-cos )and tangent to the curve is given by _______ |
| A. | = ( frac{ }{2} ) |
| B. | = |
| C. | = (- frac{ }{2} ) |
| D. | =0 |
| Answer» B. = | |