A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

(a)

x = 10

(b)

y = 10

(c)

x = 0

(d)

y = 0

The point of intersection of 3x − y = 4 and x + y = 8 is

(a)

(5, 3)

(b)

(2, 4)

(c)

(3, 5)

(d)

(4, 4)

If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

(a)

8x + 5y = 40

(b)

8x - 5y = 40

(c)

x = 8

(d)

y = 5

The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is

(a)

7x - 3y + 4 = 0

(b)

3x - 7y + 4 = 0

(c)

3x + 7y = 0

(d)

7x - 3y = 0

A straight line has equation 8y = 4x + 21. Which of the following is true

(a)

The slope is 0.5 and the y intercept is 2.6

(b)

The slope is 5 and the y intercept is 1.6

(c)

The slope is 0.5 and the y intercept is 1.6

(d)

The slope is 5 and the y intercept is 2.6

When proving that a quadrilateral is a parallelogram by using slopes you must find

(a)

The slopes of two sides

(b)

The slopes of two pair of opposite sides

(c)

The lengths of all sides

(d)

Both the lengths and slopes of two sides

If the points (0, 0), (a, 0) and (0, b) are collinear, then ____________

(a)

a = b

(b)

a + b

(c)

ab = 0

(d)

a ≠ b

The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________

(a)

a+b+c

(b)

abc

(c)

(a+b+c)²

(d)

0

The four vertices of a quadrilateral are (1, 2), (5, -6), (7, -4) and (k, -2) taken in order. If the area of quadrilateral is zero then find the value of k.

(a)

4

(b)

-2

(c)

6

(d)

3

Find the slope of the line 2y = x + 8 ____________

(a)

\(\frac { 1 }{ 2 } \)

(b)

1

(c)

8

(d)

2

Find the slope and the y-intercept of the line \(3y-\sqrt { 3x } +1=0\) is ____________

(a)

\(\frac { 1 }{ \sqrt { 3 } } ,\frac { -1 }{ 3 } \)

(b)

\(-\frac { 1 }{ \sqrt { 3 } } ,\frac { -1 }{ 3 } \)

(c)

\(\sqrt { 3 } ,1\)

(d)

\(-\sqrt { 3 } ,3\)

A line passing through the point (2, 2) and the axes enclose an area ∝. The intercept on the axes made by the line are given by the roots of ____________

(a)

x²-2-∝x+∝ = 0

(b)

x²+2∝x+∝ = 0

(c)

x²-∝x+2∝ = 0

(d)

none of these

In a right angle triangle, right angled at B, if the side BC is parallel to x axis, then the slope of AB is ___________

(a)

\(\sqrt { 3 } \)

(b)

\(\frac { 1 }{ \sqrt { 3 } } \)

(c)

1

(d)

not defined

The y-intercept of the line 3x - 4y + 8 = 0 is ___________

(a)

\(-\frac { 8 }{ 3 } \)

(b)

\(\frac { 8 }{ 3 } \)

(c)

2

(d)

\(\frac { 1 }{ 2 } \)

The lines y = 5x - 3, y = 2x + 9 intersect at A. The coordinates of A are ___________

(a)

(2, 7)

(b)

(2, 3)

(c)

(4, 17)

(d)

(-4, 23)