Explore topic-wise MCQs in Curve Tracing.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Curve Tracing knowledge and support exam preparation. Choose a topic below to get started.

1.

Vertical asymptotes are parallel to both x and y axes.

A. True
B. False
Answer» C.
Discussion
2.

What is the value of the given limit, ( lim_{x to 0} frac{25}{x} )?

A. 25
B. 0
C. ( frac{1}{2} )
D. ( frac{3}{2} )
Answer» B. 0
Discussion
3.

Which of the following is not correct regarding Folium of Descartes?

A. The equation is third degree in both x and y
B. Its asymptote is given by x+y+a=0
C. It is symmetrical about y = x
D. It forms a loop in the second quadrant
Answer» E.
Discussion
4.

At the point where ( frac{dy}{dx}= , ) the tangent is parallel to y axis.

A. False
B. True
Answer» C.
Discussion
5.

What are the tangents to the curve y2=4ax at the origin?

A. x=0
B. x=0, y=0
C. y=0
D. x=y
Answer» B. x=0, y=0
Discussion
6.

The polar coordinates of strophoid is given by (r=f( ) sqrt{(f( )cos -a)^2+(f( )sin -b)^2}. )

A. False
B. True
Answer» C.
Discussion
7.

Which of the following represents the correct cartesian equation for Lemniscate of Bernoulli?

A. (x<sup>2</sup>+y<sup>2</sup>)<sup>2</sup>=2a<sup>2</sup> (x<sup>2</sup>-y<sup>2</sup>)
B. (x<sup>2</sup>+y)<sup>2</sup>=2a<sup>2</sup> (x<sup>2</sup>-y<sup>2</sup>)
C. (x<sup>2</sup>+y<sup>2</sup>)<sup>2</sup>=2(x<sup>2</sup>-y<sup>2</sup>)
D. (x<sup>2</sup>+y<sup>2</sup>)<sup>2</sup>=a<sup>2</sup> (x<sup>2</sup>-y<sup>2</sup>)
Answer» B. (x<sup>2</sup>+y)<sup>2</sup>=2a<sup>2</sup> (x<sup>2</sup>-y<sup>2</sup>)
Discussion
8.

Which of the following represents the polar equation of Cissoid of Diocles?

A. r=2a*tan *sin
B. r=a*tan *sin
C. r=a*tan *cos
D. r=2ax*tan *sin
Answer» B. r=a*tan *sin
Discussion
9.

In geometry, the folium of Descartes is an algebraic curve defined by the equationx3+y3+3xy=0.

A. True
B. False
Answer» C.
Discussion