Coordinate Geometry

The ratio in which the line segment joining  $P\left(x_{1,}y_1\right)$  and  $Q\left(x_{2,}y_2\right)$  is divided by x-axis is.......

•  $y_1\ :\ y_2$  

•  $-y_1\ :\ y_2$  

•  $x_1\ :\ x_2$  

•  $-x_1\ :\ x_2$  

If the points A(x,2) , B(-3,4) and C(7,-5) are collinear then find value of x

• -63

• -62

• -61

• -60

Do the points (3,2), (2,3), (-2,-3) form a triangle?

• YES

• NO

The distance of a point from the y-axis is called its x-coordinate, or abscissa

• TRUE

• FALSE

Name the type of quadrilateral formed by the points (-1,-2), (1,0), (-1,2) and (-3,0)

• General Quadrilateral

• Square

• Rectangle

• Rhombus

If A (5,3), B(11,-5) and P(12,y) are the vertices of a right triangle right angled at P, they y=?

• -2,4

• -2,-4

• 2,-4

• 2,4

The set of points which are at a constant distance of r units from a fixed point O is called a circle with centre O and radius=r units. State whether the given statement is true or false

• TRUE

• FALSE

The midpoint of the lines segment AB is P(0,4). If the coordinates of B are (-2,3), then the coordinates of A are

• (2,5)

• (-2,-5)

• (2,9)

• (-2,11)

If the distance between the points (4,p) and (1,0) is 5 then the value of p is

• 4 only

• $\pm4$

• -4

• 0

In what ratio does the x-axis divide the join of A(2,-3) and B(5,6)

• 2:3

• 3:5

• 1:2

• 2:1