Concurrent Lines

Q. Which of the them are closed figures?

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

Q.

Question 3: Use the figure to name :

(a) Two pairs of intersecting lines

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Q.

Question 2: Draw a rough diagram to illustrate the following:
(i) Closed curve

Q. Which of the following is a ray?

1. 
2. 
3. 
4. 

Q. Define concurrent lines

Q.

Use the figure to name: (a) Line containing point $ \text{E}$. (b) Line passing through $ \text{A}$. (c) Line on which $ \text{O}$ lies (d) Two pairs of intersecting lines.

Q. How many lines can be drawn through three non-collinear poins?

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

Q. How many points are there in the intersection of two distinct lines?

Q. The line L given by $\frac{x}{5}+\frac{y}{b}=1$ passes through the point $(13,32)$. The line K is parallel to L and has the equation $\frac{x}{c}+\frac{y}{3}=1$. Then the distance between L and K is?

Q.

The condition for two sets A and B to be disjoint is:

1. A ∪ B = ∅

2. A ∩ B = ∅

3. A - B = ∅

4. B - A = ∅

Q. If the lines $(a-b-c)x+2ay+2a=0,2bx+(b-c-a)y+2b=0$ and $(2c+1)x+2cy+c-a-b=0$ are concurrent, then find $a+b+c$

Q. Define
Concurrent liens and intersection lines

Q. The four lines with equations $x+2y-3=0,3x+4y-7=0,2x+3y-4=0,4x+5y-6=0$

1. have three lines which are concurrent
2. are all concurrent
3. do not enclose a quadrilateral
4. have two lines that pass through $(1,1)$

Q.

Which of the below are concurrent lines?

1. 

2. 

3. 

4. 

Q.

What is the name of the point of intersection of more than two lines ?

Q. If the line $ax+by+c=0$ is normal to the $xy+5=0$, then a and b have

1. same sign
2. opposite sign
3. Cannot be discussed
4. None of these

Q. Concurrent lines pass through same _______.

1. point
2. line
3. ray
4. vertex

Q. Lines p, q and r are concurrent. Also line p, s and t are concurrent. Is it always true that the lines q, r and s will be concurrent?

Q. The set of lines $ax+by+c=0$ where $a+2b+3c=0$ are concurrent at the point:

1. $(\frac{1}{3},\frac{2}{3})$
2. $(3,\frac{2}{3})$
3. $(1,1)$
4. $(2,3)$

Q. Consider the given figure and answer the question is it closed?

Q. The set of lines $ax+by+c=0$, where $3a+2b+4c=0$ is concurrent at the point:

1. $(\frac{3}{4},\frac{1}{2})$
2. $(\frac{1}{2},\frac{1}{2})$
3. $(0,10)$
4. $\left(1.1\right)$

Q.

Use the figure to name:

(a) Line containing point E.

(b) Line passing through point A.

(c) Two pairs of intersecting lines.

Q. Consider the lines given by
$L_1:x+3y-5=0$
$L_2:3x-ky-1=0$
$L_3:5x+2y-12=0$

Match the Statements / Expressions in List 1 with the Statements / Expressions in List 2 and indicate your answer by darkening the appropriate bubbles in the $4\times 4$ matrix given in the $ORS.$

Q. Three or more lines are said to be concurrent if they pass through the:

1. none
2. same line
3. same point
4. same plane

Q. For what value of k, the system of equations will represent the coincident lines $x+5y-7=0$ and $4x+20y+k=0$?

1. $28$
2. $-28$
3. $-26$
4. None of these

Q. State true or false, if false, give the correct statement:
Concurrent lines always meet at the same point.

1. True
2. False