Straight Lines

Q.

If the point (2, a) lies on the line 2x-y=3 then 'a' is equal to

1. 3

2. 1

3. 2

4. 4

Q. What is the slope of the line passing through the points (0, –4) and ( –6, 2)?

1. -1

Q. Find the value of K so that the point (3, K) lies on the line represented by the equation 2x-3y=5

Q.

Find the value of A so that the point (3, A) lies on the line represented by 2x-3y+5=0 .

Q.

The value of k if (2, 3) lies on 2x=3y-k.

Q. Find the slopes $m_1$ and $m_2$ of the straight lines $y=3x-2$ and $x+3y+5=0$
Calculate $m_1\cdot m_2$
What do you perceive?

Q.

Line L passes through the points (4, -5) and (3, 7). Find the slope of any line perpendicular to line L.

1. 12

2. -1/2

3. 1/12

4. - (1/12)

Q.

Write four solutions for the given equation:
$x=6y$

Q.

Which of the following is a solution to 3x+4y = 38 ?

1. 6, 5

2. 2, 19

3. 3, 12

4. 3, 4

Q.

Find the equation of the straight lines each passing through the point (6, -2) and whose sum of the intercept is 5.

Q.

Does the line 3x - 5y = 6 bisect the join of (5, -2) and (-1, 2) ?

Q. Find the value of p if the line passing through the points (3, p) and (2, 7) is parallel to the line passing through the points (-1, 4) and (0, 6).

1. 7
2. 8
3. 9
4. 10

Q.

The equation of the horizontal line passing through the point (4, -7) is

1. y-7=0

2. y+7=0

3. y-4=0

4. y+4=0

Q. Using the section formula, show that the points
A(1, 0), B(5, 3), C(2, 7) and D(-2, 4) are vertices of a parallelogram taken in order.

Q. $$\begin{gathered} 3x-5y-19=0, \\ -7x+3y+1=0. \end{gathered}$$

Q. If [1, p/3] is the midpoint of the line segment joining the points [2, 0] and [0, 2/9] then show that the line 5x + 3y + 2 = 0 passes through the point [-1 , 3p]

Q.

The line, represented by the equation 3x - 8y = 2, passes through the point (k, 5), the value of k is:

1. 10

2. 12

3. 14

4. 16

Q. If the point (2, k) lies on the line 2x + 4y = 8, then the value of k = .

1. 1
2. -1
3. 2
4. -2

Q.

State, true or false :

(i) the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point (2, 3).

(ii) the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point (4, -6).

(iii) the point (8, 7) lies on the line y - 7 = 0

(iv) the point (-3, 0) lies on the line x + 3 = 0

(v) if the point (2, a) lies on the line 2x - y = 3, then a = 5.

Q. If the point (-2, k) lies on the line given by the equation 3x + 4y = 5, then the value of k = .

1. $\frac{11}{4}$
2. -$\frac{11}{4}$
3. $\frac{4}{11}$
4. -$\frac{4}{11}$

Q.

Which of the following points does not lie on the line 2x + 4y = 8?

1. (0, 2)

2. (4, 0)

3. (2, 1)

4. (3, 4)

Q. Question 14
The perpendicular bisector of a line segment joining points A(1, 5) and B(4, 6) cuts Y-axis at
(A) (0, 13)
(B) (0, –13)
(C) (0, 12)
(D) (13, 0)

Q. If the point (2, k) lies on the line 2x + 4y = 8, then find the value of k.

1. 1

Q.

The point (b, a) lies on the straight line ax + by – ab = 0. State whether true or false.

1. True

2. False

Q. If $4x+5y=23$ passes through the point $(2,a)$, then the value of $a$ is

1. 1
2. 2
3. 3
4. 4

Q. If a straight line y = 2x +k passes through the point (1, 2), then the value of k is equal to

1. 0
2. 1
3. 2
4. 3

Q.

Which is a solution of the linear equation 3x + 4y = 2?

1. (2, 2)

2. (2, -1)

3. (2, 1)

4. (-2, 1)

Q.

The midpoint of the line segment A(2a, 4) and B(-2, 3b) is C(1, 2a+1). Find the values of a and b.

Q.

The value of x, for which the points (x, -1), (2, 1) and (4, 5) lie on a line is

1. zero

2. 1

3. 3

4. 2

Q. If a line passes through the points (2, 5) and (-1, -1), equation of the line is .

1. $3x-2y+1=0$
2. $2x-y-1=0$
3. $2x-y+1=0$