Computer Graphics MCQs with Answers
Practice important Computer Graphics MCQs with answers and explanations.
Chapter: 7
Q201:
What is the formula to find the foci of a hyperbola?
A. c² = a² - b²
B. c² = a² + b²
C. c² = b² - a²
D. c = √(a² + b²)
Correct Answer:
B
Chapter: 7
Q202:
The conjugate axis of a hyperbola joins
A. Vertices
B. Focus points
C. The points (h, k+b) and (h, k-b)
D. The center to the vertex
Correct Answer:
C
Chapter: 7
Q203:
The slopes of the asymptotes for a horizontal hyperbola are
A. b/a and -b/a
B. a/b and -a/b
C. 1 and -1
D. None of these
Correct Answer:
A
Chapter: 7
Q204:
What are the equations of asymptotes of a vertically oriented hyperbola?
A. y = k ± (a/b)(x - h)
B. y = k ± (b/a)(x - h)
C. y = ±a/b
D. x = h
Correct Answer:
B
Chapter: 7
Q205:
What does the xy term in the general conic equation represent?
A. Translation
B. Rotation
C. Scaling
D. Reflection
Correct Answer:
B
Chapter: 7
Q206:
The presence of an xy term in a conic section's equation causes
A. The conic to rotate
B. The conic to reflect
C. A change in conic type
D. No change at all
Correct Answer:
A
Chapter: 7
Q207:
In the equation of a rotated ellipse, the xy term causes
A. The ellipse to change to a hyperbola
B. The major axis to rotate
C. The foci to move apart
D. The graph to flip
Correct Answer:
B
Chapter: 7
Q208:
A parabola is the set of all points equidistant from a
A. Center and vertex
B. Focus and directrix
C. Focus and center
D. Vertex and center
Correct Answer:
B
Chapter: 7
Q209:
The axis of a parabola is the line that passes through
A. Center and vertex
B. Focus and directrix
C. Focus and vertex
D. Vertex only
Correct Answer:
C
Chapter: 7
Q210:
The graph of a parabola is similar to
A. One branch of a hyperbola
B. An ellipse
C. A line
D. A sine wave
Correct Answer:
A
Chapter: 7
Q211:
In the standard parabola equation y² = 4dx, what determines the direction of the parabola?
A. Value of d
B. Value of x
C. Sign of d
D. Slope of directrix
Correct Answer:
C
Chapter: 7
Q212:
The standard equation of a parabola with vertex (0,0) and vertical axis is
A. y² = 4dx
B. x² = 4dy
C. y² + x² = 1
D. x² - y² = 1
Correct Answer:
A
Chapter: 7
Q213:
The standard equation of a parabola with vertex (h, k) and horizontal axis is
A. (y-k)² = 4d(x-h)
B. (x-k)² = 4d(y-h)
C. (x-h)² = 4d(y-k)
D. (y-h)² = 4d(x-k)
Correct Answer:
D
Chapter: 7
Q214:
The value of 'd' in a parabola determines
A. Length of the conjugate axis
B. Distance between foci
C. Distance from vertex to focus
D. Length of major axis
Correct Answer:
C
Chapter: 7
Q215:
A parabola flips its direction if
A. d is positive
B. d is negative
C. d = 0
D. a = b
Correct Answer:
B
Chapter: 7
Q216:
The focus of a parabola lies
A. At the vertex
B. On the directrix
C. Inside the curve
D. Opposite the directrix
Correct Answer:
C
Chapter: 7
Q217:
The equation y = y0 + a(x - x0)² + b(x - x0) describes
A. A parabolic motion
B. A circular path
C. An ellipse
D. Rotated hyperbola
Correct Answer:
A
Chapter: 7
Q218:
Which force leads to parabolic motion in physics?
A. Electromagnetic
B. Nuclear
C. Gravitational
D. Magnetic
Correct Answer:
C
Chapter: 7
Q219:
The parametric equation for x in a parabolic motion is
A. x = x0 + v0*t
B. x = x0 + a*t²
C. x = x0 + b*t
D. y = y0 + a*t²
Correct Answer:
A
Chapter: 7
Q220:
Parabolas appear in real-life applications like
A. Bridges and domes
B. Satellite dishes
C. Projectile motion
D. All of these
Correct Answer:
D