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**Questions**hide

## 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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