Question 2 :
The points which trisect the line segment joining the points $$(0,0)$$ and $$(9,12)$$ are

Question 3 :
The point at which the two coordinate axes meet is called the

Question 4 :
The distance between the points (sin x, cos x) and (cos x -sin x) is

Question 5 :
<br/>Let $$\mathrm{P}(\mathrm{x}_{1},\mathrm{y}_{1})\mathrm{b}\mathrm{e}$$ any point on the cartesian plane then match the following lists:<br/>&#160;<br/><table class="table table-bordered"><tbody><tr><td>&#160;LIST - I &#160; &#160;</td><td>&#160;LIST - II</td></tr><tr><td>&#160;$$\mathrm{A})$$ The distance from&#160;$$\mathrm{P}$$ to X-axis</td><td>1) $$0$$</td></tr><tr><td>&#160;$$\mathrm{B})$$ The distance from&#160;$$\mathrm{P}$$ to Y-axis</td><td>2) $$|\mathrm{y}_{1}|$$</td></tr><tr><td>&#160;$$\mathrm{C})$$ The distance from&#160;$$\mathrm{P}$$ to origin is&#160;</td><td>&#160;3) $$\sqrt{x_{1}^{2}+y_{1}^{2}}$$&#160;</td></tr><tr><td>&#160;</td><td>4)$$ |x_{1}|$$&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160;</td></tr></tbody></table>

Question 6 :
The coordinates of $$A, B$$ and $$C$$ are $$(5, 5), (2, 1)$$ and $$(0, k)$$ respectively. The value of $$k$$ that makes $$\overline {AB} + \overline {BC}$$ as small as possible is

Question 7 :
Find the co-ordinates of the mid point of a point that divides AB in the ratio 3 : 2.

Question 9 :
A line is of length $$10$$ m and one end is $$(2,-3)$$, the $$x$$ - co-ordinate of the other is $$8$$, then its $$y$$- coordinate is:

Question 10 :
In what ratio, does $$P(4, 6)$$ divide the join of $$A(-2, 3)$$ and $$B(6, 7)$$

Question 12 :
Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0

Question 13 :
$$A=\left(2,-1\right), B=\left(4,3\right)$$. If $$AB$$ is extended to $$C$$ such that $$AB=BC$$, then $$C=$$

Question 14 :
If $$A$$ and $$B$$ are the points $$(-3,4)$$ and $$(2,1)$$, then the co-ordinates of the point $$C$$ on $$AB$$ produced such that $$AC=2BC$$ are&#160;

Question 15 :
How far is the line 3x - 4y + 15 = 0 from the origin?