The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

(a)

0 sq. units

(b)

25 sq. units

(c)

5 sq. units

(d)

none of these

The straight line given by the equation x = 11 is

(a)

parallel to X axis

(b)

parallel to Y axis

(c)

passing through the origin

(d)

passing through the point (0,11)

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)

The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is

(a)

–1

(b)

1

(c)

\(\frac13\)

(d)

-8

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

Consider four straight lines
(i) l₁ : 3y = 4x + 5
(ii) l₂ : 4y = 3x - 1
(iii) l₃ : 4y + 3x =7
(iv) l₄ : 4x + 3y = 2
Which of the following statement is true?

(a)

l₁ and l₂ are perpendicular

(b)

l₁ and l₄ are parallel

(c)

l₂ and l₄ are perpendicular

(d)

l₂ and l₃ are parallel

When proving that a quadrilateral is a trapezium, it is necessary to show

(a)

Two sides are parallel

(b)

Two parallel and two non-parallel sides

(c)

Opposite sides are parallel

(d)

All sides are of equal length

(2, 1) is the point of intersection of two lines.

(a)

x - y - 3 = 0; 3x - y - 7 = 0

(b)

x + y = 3; 3x + y = 7

(c)

3x + y = 3; x + y = 7

(d)

x + 3y - 3 = 0; x - y - 7 = 0

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

Find the equation of the line passing the point which is parallel to the y axis (5, 3) is ____________

(a)

y = 5

(b)

y = 3

(c)

x = 5

(d)

x = 3

Find the value of P, given that the line  \(\frac { y }{ 2 } =x-p\) passes through the point (-4, 4) is ____________

(a)

-4

(b)

-6

(c)

0

(d)

8

Find the value of 'a' if the lines 7y = ax + 4 and 2y = 3 - x are parallel

(a)

\(\frac { 7 }{ 2 } \)

(b)

\(-\frac { 2 }{ 7 } \)

(c)

\(\frac { 2 }{ 7 } \)

(d)

\(-\frac { 7 }{ 2 } \)

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

(a)

3x+5y+15 = 0

(b)

3x+5y-20 = 0

(c)

2x+7y-20 = 0

(d)

4x+3y-15 = 0

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)