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FREE GRE Practice exam Online for Students
Find the value of k for which the lines 2x + 3y + 7 = 0 and 27x + ky + 25 = 0 are perpendicular
a) 9
b) -16
c) -12
d) -18
e) None of these
Option d – -18
Determine the equation of the line passing through the origin and perpendicular to 3x – 2y + 1 = 0
a) 3x – 2y = 0
b) 2x – 3y = 0
c) 2x – 3y – 1 = 0
d) 2x – 5y + 1 = 0
e) None of these
Option a – 3x – 2y = 0
Find the equation of the line parallel to the y-axis that passes through the point (3, 7)
a) x = 3
b) y = -7
c) y = -7x
d) y = 3x
e) None of these
Option a – x = 3
Identify the relationship between the lines x – 2y = 7 and 4y – 2x = 13
a) Parallel
b) Perpendicular
c) Coincident
d) Intersecting
e) None of these
Option a – Parallel
The line 3x – 7y = 10 meets the y-axis at
a) (10/3, 0)
b) (0, -10/7)
c) (0, 10/3)
d) (-10/7, 0)
e) None of these
Option b – (0, -10/7)
Find the slope of the line 2x + 3y + 5 = 0
a) 2
b) 3
c) 3/2
d) -2/3
e) None of these
Option d – -2/3
Determine the equation of the line passing through points A(0, -4) and B(-6, 2)
a) x + y + 4 = 0
b) x + y – 4 = 0
c) x – y + 4 = 0
d) y – x + 4 = 0
e) None of these
Option a – x + y + 4 = 0
In triangle ABC, vertices are A(2, 5), B(-4, 9), and C(-2, -1). Find the equation of median AD
a) x + 5y – 23 = 0
b) x – 5y – 4 = 0
c) x – 5y + 23 = 0
d) x – 5y + 4 = 0
e) None of these
Option c – x – 5y + 23 = 0
Write the equation of a line with slope 4 passing through the point (5, -7)
a) y = 4x – 35
b) 4y = x – 35
c) y = 4x – 27
d) y = 4x + 27
e) None of these
Option c – y = 4x – 27
Find the number of intersection points between the circle x² + y² = 16 and the line x + y = 16
a) 1
b) 2
c) More than 2
d) No point
e) None of these
Option d – No point
Determine the distance of the point (4, -3) from the origin
a) 1 unit
b) 7 units
c) 5 units
d) 3 units
e) None of these
Option c – 5 units
The coordinates of the centroid of a triangle with vertices A(-2, 2), B(-1, -3), and C(5, 7) are
a) (2/3, 2)
b) (2, 6)
c) (1, 3)
d) (2/3, 3)
e) None of these
Option a – (2/3, 2)
Two vertices of triangle ABC are A(-1, 4) and B(5, 2), and the centroid is (0, 3). Find the coordinates of vertex C
a) (4, 3)
b) (4, 15)
c) (-4, -15)
d) (-15, 4)
e) None of these
Option c – (-4, -15)
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