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FREE GRE Practice Exam Online for Students
Find ‘k’ for which 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
Find the equation of a line that is passing through the origin and is also perpendicular to the line 3x – 2y + 1 = 0 s:
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
The equation of the line parallel to the y-axis and passing through (3, 7), is
a) x = 3
b) y = -7
c) y = -7x
d) y = 3x
e) None of these
Option a – x = 3
The lines whose equations are x – 2y = 7 and 4y – 2x = 13 are:
a) parallel
b) perpendicular
c) coincident
d) interaction
e) None of these
Option a – parallel
The line 3x – 7y= 10 meets the y-axis at the point :
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)
The slope of line 2x + 3y + 5 = 0 is
a) 2
b) 3
c) 3/2
d)-2/3
e) None of these
Option d – -2/3
The equation of a line passing through the points A(0, -4) and B(-6, 2) is :
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
A triangle ABC has vertices A (2, 5), B (-4, 9), and C (-2, -1). The equation of median AD is :
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
The equation of a line with slope 4 and passing through the point (5, -7) is
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
The number of points in which the circles x² + y² = 16 is intersected by the line x + y = 16 is
a) 1
b) 2
c) more than 2
d) No point
e) None of these
Option d – No point
The distance of the point (4, -3) from the origin is
a) 1 unit
b) 7 units
c) 5 units
d) 3 units
e) None of these
Option c – 5 units
The coordinates of the point of intersection of the medians 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 a triangle ABC are A(-1, 4) and B(5, 2) and its centroid is (0, 3). The coordinates of C are:
a) (4,3)
b) (4, 15)
c) (-4,-15)
d) (-15, 4)
e) None of these
Option c – (-4,-15)
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