Free Printable S4 Equations of Straight Lines 2

1.

Find the equation of the straight line with the slope of -1 passing through A(-2, -5).

a)

$y=-x+3$

b)

$y=-x+7$

c)

$y=-x-3$

d)

$y=-x-7$

2.

Find the equation of the straight line with the y-intercept of 5 passing through A(-1, 7).

a)

$y=-7x+5$

b)

$y=5x+12$

c)

$y=-2x+5$

d)

$y=-\frac{7}{6}x+\frac{35}{6}$

3.

Straight line $-5x+ky-1=0$ passes through A(1, -2). Find the value of k.

a)

-3

b)

-2

c)

2

d)

3

4.

Two points A(-2, 4) and B(-6, 2) are given. P is the mid-point of line segment AB. Find the equation of the straight line with the slope of -2 passing through P.

a)

$y=-2x-5$

b)

$y=-2x$

c)

$y=-2x+7$

d)

$y=-2x+11$

5.

It is given that the x-intercept and y-intercept of straight line L are 3 and 5 respectively. If L passes through P(k, 10), find the value of k.

a)

$-\frac{35}{3}$

b)

$-3$

c)

$6$

d)

$\frac{35}{3}$

6.

Find the x-intercept of straight line $3x-7y+21=0$ .

a)

$-7$

b)

$-\frac{3}{7}$

c)

$\frac{7}{3}$

d)

$3$

7.

The y-intercept of straight line $3x-6y+5k=0$ is -2. Find the value of k.

a)

$\frac{12}{5}$

b)

$\frac{6}{5}$

c)

$-\frac{6}{5}$

d)

$-\frac{12}{5}$

8.

If $4x+3y-12=0$ cuts the x-axis and y-axis at P and Q respectively, find the perimeter of $\Delta$ OPQ .

a)

6

b)

8

c)

9

d)

12

9.

Straight lines L1 $4x-3y+5=0$ , L2 $4x+3y-2=0$ and L3 $3x-4y=0$    are given. Which of the following is / are correct?
     I.   L1 // L2
     II.  L1 $\perp$   L2
     III. L2 $\perp$ L3

a)

I only

b)

II only

c)

III only

d)

None of the above

10.

Find the equation of the straight line which passes through (-4, 5) and is parallel to straight line $2x-3y-4=0$ .

a)

$3x+2y+2=0$

b)

$3x-2y-22=0$

c)

$2x+3y-7=0$

d)

$2x-3y+23=0$

11.

If straight lines $3x-4y+7=0$ and $2kx+\left(2k-1\right)y-2=0$ are perpendicular to each other, then k =

a)

$\frac{3}{14}$ .

b)

$\frac{1}{2}$ .

c)

2.

d)

$\frac{14}{3}$ .

12.

Find the equation of straight line L in the figure.

a)

$x-2y+2=0$

b)

$x+2y+2=0$

c)

$2x-y+4=0$

d)

$2x+y+4=0$

13.

Two points A(-1, -4) and B(3, -6) are given. The equation of the perpendicular bisector of AB is

a)

$y=-2x-3$ .

b)

$y=2x-7$ .

c)

$y=-\frac{1}{2}x-\frac{9}{2}$ .

d)

$y=\frac{1}{2}x-\frac{11}{2}$ .

14.

Find the coordinates of the point of intersection of straight lines $3x-4y+6=0$ and $2x-3y+5=0$ .

a)

(-2, 3)

b)

(-3, 2)

c)

(2, 3)

d)

(3, 2)

15.

Find the area of $\Delta$ ABC in the figure.

a)

9

b)

18

c)

$\frac{16}{3}$

d)

$\frac{32}{3}$

16.

Challengling Question:
In the figure, the equation of the straight line is $x+ay+b=0$ .
Which of the following must be correct?

I.    a > 0

II.   b < 0

III. ab > 0

a)

I only

b)

II only

c)

I and III only

d)

II and III only

S4 Equations of Straight Lines 2

Total questions: 16

Worksheet time: 1hrs 20mins

Similar Resources on Wayground