

MCQOPTIONS
This section includes 49 Mcqs, each offering curated multiple-choice questions to sharpen your VITEEE knowledge and support exam preparation. Choose a topic below to get started.
1. |
The equation of the line through (-3, -5) parallel to 7x + 2y – 4 = 0 is |
A. | 7x + 2y + 31 = 0 |
B. | 7x – 2y + 30 = 0 |
C. | 7x – 2y – 4 = 0 |
D. | 2x + 7y + 30 = 0 |
Answer» B. 7x – 2y + 30 = 0 | |
2. |
Which of the following lines is parallel to the line 3x – 2y + 6 = 0? |
A. | 3x + 2y – 12 = 0 |
B. | 4x – 9y = 6 |
C. | 12x + 18y = 15 |
D. | 15 x – 10y – 9 = 0 |
Answer» E. | |
3. |
Find the equation of the perpendicular bisector of the line joining (5, 0) and (-7, 3). |
A. | 8x + 2y + 11 = 0 |
B. | 8x – 2y + 11 = 0 |
C. | 8x – y + 11 = 0 |
D. | 8x + y + 11 = 0 |
Answer» C. 8x – y + 11 = 0 | |
4. |
Find the equation of the line through point (3, 1) and is perpendicular to the line x + 5y +5 = o. |
A. | 5x – 2y = 14 |
B. | 5x – y = 14 |
C. | 2x – 5y = 14 |
D. | 2x + 5y = 14 |
Answer» C. 2x – 5y = 14 | |
5. |
What is the equation of the line that passes thru (4, 0) and is parallel to the line x – y – 2 = 0? |
A. | x – y + 4 = 0 |
B. | x + y + 4 = 0 |
C. | x – y – 4 = 0 |
D. | x – y = 0 |
Answer» D. x – y = 0 | |
6. |
A line through (-5, 2) and (1, -4) is perpendicular to the line through (x, -7) and (8, 7). Find the x. |
A. | -4 |
B. | -5 |
C. | -6 |
D. | -19/3 |
Answer» D. -19/3 | |
7. |
The line 2x – 3y + 2 = 0 is perpendicular to another line L1 of unknown equation. Find the slope of L1. |
A. | 3/2 |
B. | -3/2 |
C. | 2/3 |
D. | -2/3 |
Answer» C. 2/3 | |
8. |
Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0. |
A. | 5 |
B. | 4 |
C. | 3 |
D. | 2 |
Answer» D. 2 | |
9. |
Find the equation of the line if the x-intercept and y-intercept are -2 and 4, respectively. |
A. | y – 2x – 4 = 0 |
B. | y + 2x – 4 = 0 |
C. | y – 2x + 4 = 0 |
D. | y + 2x + 4 = 0 |
Answer» C. y – 2x + 4 = 0 | |
10. |
Find the equation of the line passing through the origin and with a slope of 6? |
A. | y – 6x = 0 |
B. | y = -6 |
C. | x + y = -6 |
D. | 6x + y = 0 |
Answer» B. y = -6 | |
11. |
A line with an inclination of 45º passes through (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6? |
A. | 6 |
B. | 7 |
C. | 8 |
D. | 9 |
Answer» D. 9 | |
12. |
The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is, |
A. | 3x + 2y = 12 |
B. | 2x – 3y = 12 |
C. | 3x – 2y = 12 |
D. | 2x – 3y = 12 |
Answer» D. 2x – 3y = 12 | |
13. |
If the points (-2, 3), (x, y) and (-3, 5) lie on a straight line, then the equation of the line is _______. |
A. | x – 2y – 1 = 0 |
B. | 2x + y – 1 = 0 |
C. | x + 2y – 1 = 0 |
D. | 2x + y + 1 = 0 |
Answer» E. | |
14. |
Find the equation of the straight line with a slope of 3 and a y-intercept of 1. |
A. | 3x + y – 1 = 0 |
B. | 3x – y + 1 = 0 |
C. | x + 3y + 1 = 0 |
D. | x – 3y – 1 = 0 |
Answer» C. x + 3y + 1 = 0 | |
15. |
What is the x-intercept of the line passing through (1, 4) and (4, 1)? |
A. | 4.5 |
B. | 5 |
C. | 4 |
D. | 6 |
Answer» C. 4 | |
16. |
A line passes thru (1, -3) and (-4, 2. Write the equation of the line in slope-intercept form. |
A. | y – 4 = x |
B. | y = -x – 2 |
C. | y = x – 4 |
D. | y – 2 = x |
Answer» C. y = x – 4 | |
17. |
Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle. |
A. | 3 |
B. | 4 |
C. | 5 |
D. | 6 |
Answer» C. 5 | |
18. |
In a Cartesian coordinates, the vertices of a triangle are defined by the following points: (-2, 0) and (3, 3). What is the area? |
A. | 8 sq. units |
B. | 9 sq. units |
C. | 10 sq. units |
D. | 11 sq. units |
Answer» C. 10 sq. units | |
19. |
What is the slope of the line 3x + 2y + 1 = 0? |
A. | 3/2 |
B. | 2/3 |
C. | -3/2 |
D. | -2/3 |
Answer» D. -2/3 | |
20. |
Find the slope of the line defined by y – x = 5. |
A. | 1 |
B. | 1/4 |
C. | -1/2 |
D. | 5 + x |
Answer» B. 1/4 | |
21. |
What is the length of the line with a slope of 4/3 from a point (6, 4) to the y-axis? |
A. | 10 |
B. | 25 |
C. | 50 |
D. | 75 |
Answer» B. 25 | |
22. |
Find the distance between the given lines 4x – 3y = 12 and 4x – 3y = -8. |
A. | 3 |
B. | 4 |
C. | 5 |
D. | 6 |
Answer» C. 5 | |
23. |
The distance from a point (1, 3) to the line 4x + 3y + 12 = 0 is |
A. | 4 units |
B. | 5 units |
C. | 6 units |
D. | 7 units |
Answer» C. 6 units | |
24. |
Determine the distance from (5, 10) to the line x – y = 0. |
A. | 3.33 |
B. | 3.54 |
C. | 4.23 |
D. | 5.45 |
Answer» C. 4.23 | |
25. |
The distance from the point (2, 1) to the line 4x – 3y + 5 = 0 is? |
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Answer» C. 3 | |
26. |
The two points on the lines 2x = 3y + 4 = 0 which are at a distance 2 from the line 3x + 4y – 6 = 0 are? |
A. | (-5, 1) and (-5, 2) |
B. | (64, -44) and (4, -4) |
C. | (8, 8) and (12, 12) |
D. | (44, -64) and (-4, 4) |
Answer» C. (8, 8) and (12, 12) | |
27. |
Find the distance of the line 3x + 4y = 5 from the origin. |
A. | 4 |
B. | 3 |
C. | 2 |
D. | 1 |
Answer» E. | |
28. |
What is the acute angle between the lines y = 3x + 2 and y = 4x + 9? |
A. | 4.4º |
B. | 28.3º |
C. | 5.2º |
D. | 18.6º |
Answer» B. 28.3º | |
29. |
Find the angle between the lines 3x + 2y = 6 and x + y = 6. |
A. | 12º 20’ |
B. | 11º 19’ |
C. | 14º 25 |
D. | 13º 06’ |
Answer» C. 14º 25 | |
30. |
Find the angle formed by the lines 2x + y – 8 = 0 and x + 3y + 4 = 0. |
A. | 30º |
B. | 35º |
C. | 45º |
D. | 60º |
Answer» D. 60º | |
31. |
Find the inclination of the line passing through (-5, 3) and (10, 7). |
A. | 14.73 |
B. | 14.93 |
C. | 14.83 |
D. | 14.63 |
Answer» C. 14.83 | |
32. |
If the slope of the line connecting the origin and point P is ¾, find the abscissa of P if its ordinate is 6. |
A. | 2 |
B. | 6 |
C. | 7 |
D. | 8 |
Answer» E. | |
33. |
The points (a, 1), (b, 2) and (c, 3) are collinear. Which of the following is true? |
A. | c – b = c – a |
B. | c – b = b – a |
C. | c – a = a – b |
D. | c – a = b – a |
Answer» C. c – a = a – b | |
34. |
The segment from (-1, 4) to (2, -2) is extended three times its own length. The terminal point is |
A. | (11, -24) |
B. | (-11, -20) |
C. | (11, -18) |
D. | (11, -20) |
Answer» E. | |
35. |
Determine the coordinates of the point which is three-fifths of the way from the point (2, -5) to the point (-3, 5). |
A. | (-1, 1) |
B. | (-2, -1) |
C. | (-1, -2) |
D. | (1, -1) |
Answer» B. (-2, -1) | |
36. |
If (-2, -4) is the midpoint of (6, -7) and (x, y), then the values of x and y are |
A. | x = 2, y = 1 |
B. | x = -10, y = -1 |
C. | x = 10, y = -1 |
D. | x = -8, y = -1 |
Answer» C. x = 10, y = -1 | |
37. |
The line segment connecting (x, 6) and (9, y) is bisected by the point (7, 3). Find the values of x and y. |
A. | 14, 6 |
B. | 33, 12 |
C. | 5, 0 |
D. | 14, 6 |
Answer» D. 14, 6 | |
38. |
Find the coordinate of a point equidistant from (1, -6), (5, -6) and (6, -1). |
A. | (2, -2) |
B. | (3, -2) |
C. | (3, -3) |
D. | (2, -3) |
Answer» D. (2, -3) | |
39. |
If the distance between points (3, y) and (8, 7) is 13, then y is equal to |
A. | 5 or –5 |
B. | 5 or 19 |
C. | 19 |
D. | –5 or 19 |
Answer» E. | |
40. |
Find the distance between A (4, –3) and B (–2, 5). |
A. | 11 |
B. | 9 |
C. | 10 |
D. | 8 |
Answer» D. 8 | |
41. |
The linear distance between –4 and 17 on the number line is |
A. | 13 |
B. | 21 |
C. | –17 |
D. | –13 |
Answer» C. –17 | |
42. |
Which point lies above x-axis? |
A. | (-1, 2) |
B. | (2, 0) |
C. | (-1,-5) |
D. | (0,-3) |
Answer» B. (2, 0) | |
43. |
Which point lies in IV quadrant? |
A. | (-3,-4) |
B. | (2,-4) |
C. | (-2, 3) |
D. | (0, 1) |
Answer» C. (-2, 3) | |
44. |
Which point lies on the left of y-axis? |
A. | (2, 0) |
B. | (-2,-4) |
C. | (5, 2) |
D. | (3, 6) |
Answer» C. (5, 2) | |
45. |
Which line is parallel to y=x-2? |
A. | y=2x+1 |
B. | 2y=2x-6 |
C. | 2y=x+7 |
D. | y=3x+1 |
Answer» C. 2y=x+7 | |
46. |
Which point lies to the right of y-axis? |
A. | (0, 3) |
B. | (-2,-1) |
C. | (3, 5) |
D. | (-3,-2) |
Answer» D. (-3,-2) | |
47. |
Which point lies on y-axis? |
A. | (1, 3) |
B. | (0, 3) |
C. | (5, 2) |
D. | (-2,-3) |
Answer» C. (5, 2) | |
48. |
Which point lies on x-axis? |
A. | (3, 2) |
B. | (-3, 2) |
C. | (2, 0) |
D. | (-1,-2) |
Answer» D. (-1,-2) | |
49. |
Which graph is parallel to x-axis? |
A. | y=x+1 |
B. | y=2 |
C. | x=3 |
D. | x=2y |
Answer» C. x=3 | |