Test Details

Coordinate Geometry

Dec 03, 1:00 PM

60 minutes

Dec 03, 2:00 PM

45.0 marks

MCQ

20 questions

Sheeja N

P. G, B.Ed in Maths

Class Details

English

Mathematics

Class 10

English

Mathematics

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Question Text

Question 1 :
The coordinates of the point of intersection of X-axis and Y-axis is( 0,0) State true or false.

Question 3 :
The points $(-2, -1), (1, 0),(4, 3),$ and $(1, 2)$ are the vertices

Question 4 :
Given the points $A(-1,3)$ and $B(4,9)$.Find the co-ordinates of the mid-point of $AB$

Question 5 :
A(2,6) and B(1,7) are two vertices of a triangle ABC and the centroid is (5,7) The coordinates of C are

Question 6 :
Point $P$ divide a line segment $AB$ in the ratio $5:6$ where $A(0,0)$ and $B(11,0)$. Find the coordinate of the point $P$:

Question 7 :
The coordinates of the third vertex of an equilateral triangle whose two vertices are at $(3, 4), (-2 3)$ are ______.

Question 8 :
The point P divides the line segment joining the points $\displaystyle A\left ( 2,1 \right )$ and $\displaystyle B\left ( 5,-8\right )$ such that $ \frac{AP}{AB}=\frac{1}{3}$ If P lies on the line $\displaystyle 2x+y+k=0$ then the value of k is-

Question 9 :
Find the coordinates of the point $P$ which divides line segment $QR$ internally in the ratio $m:n$ in the following example: $Q \equiv (6, -5), R \equiv (-10, 2)$ and $m:n = 3:4$

Question 10 :
The ratio by which the line $2x + 5y - 7 = 0$ divides the straight line joining the points $(-4, 7) $ and $(6, -5)$ is

Question 11 :
If P(x, y) is any point on the line joining thepoints (a, 0) and (0, b) then the value of$\displaystyle \frac{x}{a} + \frac{y}{b}$

Question 12 :
State whether the following statements are true or false . Justify your answer. Point $ A(-6 , 10) , B(-4 , 6) $ and $ C(3 , -8) $ are collinear such that $ AB = \dfrac{2}{9} AC $ .

Question 13 :
In what ratio does the point $\begin{pmatrix} \dfrac { 1 }{ 2 },\dfrac { -3 }{ 2 } \end{pmatrix}$ divide the line segment joining the points $(3,5)$ and $(-7,9)$?

Question 14 :
The ratio in which the line $3x+y=9$ divides the line sequent joining the points $(1,3)$ and $(2,7)$ is given by

Question 15 :
If the coordinates of opposite vertices of a square are $(1,3)$ and $(6,0)$, the length if a side od a square is

Question 16 :
If the line $2x+y=k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ ,then $k$ equals:

Question 17 :
If $P \left( \dfrac{a}{3},\dfrac{b}{2} \right)$ is the mid-point of the line segment joining $A(-4,3)$ and $B(-2,4)$ then $(a,b)$ is 

Question 18 :
If $(-6, -4), (3, 5), (-2, 1)$ are the vertices of a parallelogram, then remaining vertex can be

Question 19 :
The vertices of a triangle are $A(3,4)$, $B(7,2)$ and $C(-2, -5)$. Find the length of the median through the vertex A.

Question 20 :
Find the point on the x-axis which is equidistant from the points $(-2,5)$ and $(2, -3)$. Hence find the area of the triangle formed by these points

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