Question 1 :
$A=\left(2,-1\right), B=\left(4,3\right)$. If $AB$ is extended to $C$ such that $AB=BC$, then $C=$
Question 2 :
If (-2, -4) is the midpoint of (6, -7) and (x, y) then the values of x and y are
Question 3 :
The vertices P, Q, R, and S of a parallelogram are at (3,-5), (-5,-4), (7,10) and (15,9) respectively The length of the diagonal PR is
Question 4 :
The coordinates of points $P(-2, 2), Q(3, 2) $ and $R(3, -2)$ are the vertices of a rectangle $PQRS$`. What are the coordinates of S? <br/>
Question 5 :
Determine the distance from (5, 10) to the line x - y = 0
Question 7 :
The mid-point of the line segment joining $( 2a, 4)$ and $(-2, 2b)$ is $(1, 2a + 1 )$. The values of $a$ and $b$ are
Question 8 :
If the points (1,1) (2,3) and (5,-1) form a right triangle, then the hypotenuse is of length
Question 9 :
Which of the following are the co-ordinates of the centre of the circle that passes through $P(6, 6), Q(3, 7)$ and $R(3, 3)$?
Question 10 :
If the mid-point between the points $(a+ b, a- b)$ and $(-a, b)$ lies on the line $ax + by = k$, what is k equal to?
Question 11 :
If $(x,y)$ is equidistant from $(a+b, b-a)$ and $(a-b, a+b)$, then
Question 12 :
The points $(-4,-4), (-1,-2)$ and $(x,-8)$ are the vertices of a right triangle with the right angle at $(-1,-2)$. Find the value of $x$.
Question 13 :
If the distances of $P(x,y)$ from $A(-1,5)$ and $B(5,1)$ are equal, then
Question 14 :
Assertion: Three points $A(x_{1}, y_{1})$, $B(x_{2}, y_{2})$ and $C(x_{3}, y_{3})$ are collinear if $x_{1}+x_{2}+x_{3}=y_{1}+y_{2}+y_{3}.$
Reason: The points $A(x, -x)$, $B(7, -5)$, $C(-5, 3)$ are collinear if $x=1$.
Question 15 :
The points $(-2, 1), (0, 3), (2, 1)$ and $(0, -1)$ are the vertices of a ________.<br/>
Question 16 :
<div>State true or false</div>Points $( -2 , -1 ) , (1 , 0 ) , ( 4 , 3)$ and $( 1 , 2)$ are the vertex of the parallelogram
Question 17 :
The equation of a line which is equidistant from the lines $y=8$ and $y=-2$ is
Question 18 :
If the length of the line AB, joining $A(4, 1)$ and $B(3, a)$ is $\sqrt{10}$, then the value of $'a'$ is
Question 19 :
The equation of a line which is equidistant from the lines $x=-2$ and$x=6$ is
Question 20 :
If $A = (2, -3, 1), B = (3, -4, 6)$ and $C$ is a point of trisection of $AB$, then ${C}_{{y}}=$<br/>