Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Equation of parabola which is symmetric about y-axis with vertex (0, 0) and pass through (6, 3).

A. y<sup>2</sup>=6x
B. x<sup>2</sup>=12y
C. y<sup>2</sup>=12x
D. x<sup>2</sup>=6y
Answer» C. y<sup>2</sup>=12x
Discussion
2.

Equation of parabola which is symmetric about x-axis with vertex (0, 0) and pass through (3, 6).

A. y<sup>2</sup>=6x
B. x<sup>2</sup>=12y
C. y<sup>2</sup>=12x
D. x<sup>2</sup>=6y
Answer» D. x<sup>2</sup>=6y
Discussion
3.

If vertex is at (1, 2) and focus (2, 0) then find the equation of the parabola.

A. y<sup>2</sup>-8x+4y+12=0
B. y<sup>2</sup>-8x-4y-12=0
C. y<sup>2</sup>-8x-4y+12=0
D. y<sup>2</sup>+8x+4y+12=0
Answer» D. y<sup>2</sup>+8x+4y+12=0
Discussion
4.

If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola.

A. x<sup>2</sup>+y<sup>2</sup>+2xy-4x-16y+54=0
B. x<sup>2</sup>+y<sup>2</sup>+2xy+4x-16y+54=0
C. x<sup>2</sup>+y<sup>2</sup>+2xy+4x+16y+54=0
D. x<sup>2</sup>+y<sup>2</sup>+2xy-4x+16y+54=0
Answer» B. x<sup>2</sup>+y<sup>2</sup>+2xy+4x-16y+54=0
Discussion
5.

Find the length of latus rectum of the parabola y2=40x.

A. 4 units
B. 10 units
C. 40 units
D. 80 units
Answer» D. 80 units
Discussion
6.

Find the equation of axis of the parabola x2=24y.

A. x=0
B. x=6
C. y=6
D. y=0
Answer» B. x=6
Discussion
7.

Find the equation of axis of the parabola y2=24x.

A. x=0
B. x=6
C. y=6
D. y=0
Answer» E.
Discussion
8.

Find the vertex of the parabola y2=4ax.

A. (0, 4)
B. (0, 0)
C. (4, 0)
D. (0, -4)
Answer» C. (4, 0)
Discussion
9.

Find the equation of directrix of parabola x2=-100y.

A. x=25
B. x=-25
C. y=-25
D. y=25
Answer» E.
Discussion
10.

Find the equation of directrix of parabola x2=100y.

A. x=25
B. x=-25
C. y=-25
D. y=25
Answer» D. y=25
Discussion