Vector Equation for Straight Line

Q. The median AD of the $\Delta ABC$ is bisected at E, BE meets AC in F, then AF: AC is equal to

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

Q. Prove that two lines perpendicular to the same line are parallel to each other.

Q.

The equation of a line passing through the points 3i + 4j and i + 2j can be given by $\overrightarrow{r}=(1+2\lambda )i+(2+2\lambda )j.Here\lambda ϵIR$

1. True

2. False

Q. BD and EG are parallel lines. Find the angle marked x in the ​
picture below.

1. 52°
2. 48°
3. 58°
4. 132°

Q. The medians of a triangle meet at $(1,1)$ and two of its vertices are $(2,5)$ and $(4,6)$.
Then the third vertex of the triangle is ..........

1. $(-3,-8)$
2. $(3,8)$
3. $(3,5)$
4. $(0,-3)$

Q.

Vector equation of a straight line passing through a point given by position vector $\overline{a}$ parallel to $\overline{b}$ be is given by $\overline{r}=\overline{a}-\lambda \overline{b},where\overline{r}$ , where $\overline{r}$ is r position vector of a general point on the line and $\lambda ϵIR$

1. True

2. False

Q.

Find Equation of a straight line which passes through the points given by position vectors $\overline{a}and\overline{b}$ .

1. 

2. 

3. 

4. 

Q. BD and EG are parallel lines. Find the angle marked x in the ​
picture below.

1. 132°
2. 58°
3. 52°
4. 48°