Point of Intersection

Q. How many points of intersection do parallel lines have?

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

Q.

Based on Playfair's axiom, for every line $\text{'}l\text{'}$ and every point $\text{'}P\text{'}$ not lying on $\text{'}l\text{'}$, there exists ____ line(s) passing through $\text{'}P\text{'}$ and parallel to $\text{'}l\text{'}$.

1. Two Distinct

2. Three Distinct

3. No

4. A unique

Q.

The line ax + by = ab makes intercepts on the x and y axis.

1. a and b

2. a and ab

3. b and a

4. b and ab

Q. In how many points two distinct lines can intersect?

Q. Point of intersection of two straight lines is the point at which

1. both the lines intersect each other
2. any one of the line intersects y - axis
3. None of the above
4. any one of the line intersects x-axis

Q. Label the points with the equation of line passing through it.

1. 3x - 2y =1
2. y = 2
3. 2x - 3y = -1
4. x + y = 1

Q.

The line y - x = 0, passes through the point ___.

1. (0, 3)

2. (-2, 2)

3. (2, 0)

4. (5, 5)

Q.

The midpoint of (2, 3) and (4, 5) lies on which of the following curves?

1. x^2+y^2=25

2. x+y=5

3. xy=15

4. None of these

Q.

The point of intersection of the line x = 4 and y = 3 is___

1. (4, 3)

2. (3, 4)

3. (-3, -4)

4. (-4, -3)

Q. For all sets P, Q and R. Is (P-Q) n (R-Q)=(P n R)- Q. Justify your answer.
{n= intersection}

Q. Label the points with the equation of line passing through it.

1. 3x - 2y =1
2. y = 2
3. 2x - 3y = -1
4. x + y = 1

Q.

A straight line can make two x-intercepts.

1. S1 and S2 are true

2. S1 and S2 are false

Q. Define the following terms:
(a) Parallel lines
(b) Intersecting lines
(c) Concurrent lines

Q. When two equations are solved graphically, the point of intersection of the two gives the solution of the two equations.

1. False
2. True