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GRE FREE Mock Exam for Students
What is a value of y if the points (1, 4), (3, y), and (4, -y) are collinear
(a) 2
(b) -2
(c) 3
(d) 4
(e) None of these
Option b – -2
The intercepts made by the line 3x-2y-6=0 with the axis respectively are
(a) 2, -3
(b) 3, 2
(c) 2, 3
(d) -2,3
(e) None of these
Option a – 2, -3
The equation of the line passing through the point (1, 1) and also perpendicular to the line 3x + 4y-5=0 is
(a) 3x + 4y-7=0
(b) 3x+4y+7=0
(c) 4x – 3y + 1 = 0
(d) 4x-3y-1=0
(e) None of these
Option d – 4x-3y-1=0
The length of the perpendicular PQ drawn from the point P (-3, 1) on the straight line AQB 7x -24y – 15 = 0 is
(a) 1/5
(b) 10
(c) 12/5
(d) 14
(e) None of these
Option c – 12/5
What point on the x-axis is equidistant from the point (7, 6) and (3, 4)?
(a) (0, 3)
(b) (3, 0)
(c) (0,4)
(d) (-4, 0)
(e) None of these
Option b – (3, 0)
AB is the diameter of a circle whose center is O. If the coordinates of A are (2, 6) and the coordinates of B are (6, 2), find the coordinates of O.
(a) (4,4)
(b) (4,-4)
(c) (2,-2)
(d) (0, 0)
(e) None of these
Option a – (4,4)
The vertices of a triangle are (2, 1), (2, 5), and (5, 1). The area of the triangle is :
(a) 12
(b) 10
(c) 8
(d) 69
(e) None of these
Option d – 69
The area of a circle whose center is at (0, 0) is 167. The circle does not pass through which of the following points
(a) (4,4)
(b) (0,4)
(c) (4,0)
(d) (-4, 0)
(e) None of these
Option a – (4,4)
The distance between points (2, -3) and (2, 2) is
(a) 2
(b) 3
(c) 4
(d) 5
(e) None of these
Option d – 5
The coordinates of a point situated on the y-axis at a distance of 6 units from the x-axis are:
(a) (0, 6)
(b) (6, 0)
(c) (6, 6)
(d) (-6, 6)
(e) None of these
Option a – (0, 6)
The coordinates of a point in the 3rd and 4th quadrant at a distance of 4 units from the x-axis but lying on the y-axis is :
(a) (0,4)
(b) (-4,0)
(c) (0, -4)
(d) (4, -4)
(e) None of these
Option c – (0, -4)
The points A (0, 6), B(5, 3), and C(3, 1) are the vertices of a triangle which is :
(a) isosceles
(b) right-angled
(c) equilateral
(d) Scalene
(e) None of these
Option a – isosceles
In which quadrant does (-4, 3) lie?
(a) I
(b) II
(c) III
(d) IV
(e) Any quadrant
Option b – II
The number of squares possible if 2 vertices are (1, 0) and (2, 0)?
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of these
Option c – 3
The equation of tangent to the circle x² + y² = 25 at the point (-3,-4) is :
(a) 3x +4y + 25 = 0
(b) 3x + 4y -25=0
(c) 4x + 3y + 25 = 0
(d) 4x + 3y – 25= 0
(e) None of these
Option a – 3x +4y + 25 = 0
In the equation of a circle, the coordinates of the end points of diameter are (3, 4) and (-3, 4) is?
(a) x² + y² +25=0
(b) x²+y² = 16
(c) x² + y² = 25
(d) x² + y² = 64
(e) None of these
Option d – x² + y² = 64
Let A(3, 4), B(4, 4) and C(4, 5) be three points. The angle between AB and AC is:
(a) 30°
(b) 60°
(c) 45°
(d) 90°
(e) None of these
Option c – 45°
The length of the perpendicular from the point (4, 1) to the line 3x – 4y + 12 = 0, is
(a) 4
(b) 4/3
(c) 3
(d) 1
(e) None of these
Option a – 4
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