Test Details

Coordinate Geometry

Jan 09, 8:00 PM

90 minutes

Jan 09, 9:30 PM

50.0 marks

MCQ

25 questions

Arvind singh chauhan

“I am a positive person who has an enthusiastic outlook on life. I love my job and I get a great sense of achievement from seeing my students develop and grow as individuals. If I can have a positive impact on their future, I feel I am doing my job well.

Class Details

maths

class 10th

maths

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Question Text

Question 1 :
What can be the values of y for which the distance between the points P $\left(2, – 3\right)$ and Q $\left(10, y\right)$ is 10 units ?

Question 2 :
The points (4, 5), (7, 6) and (6, 3) are collinear. State true or false.

Question 3 :
Find the value of m if the points (5, 1), (–2, –3) and (8, 2m) are collinear.

Question 4 :
If the point A (2, – 4) is equidistant from P (3, 8) and Q (–10, y), find distance PQ.

Question 5 :
Find the ratio in which the y-axis divides the line segment joining the points $\left(5, – 6\right)$ and $\left(–1, – 4\right)$.

Question 6 :
The centre of a circle is (2a, a – 7). Find the values of a if the circle passes through the point (11, –9) and has diameter 10$\sqrt 2$ units.

Question 7 :
Find the value of a, if the distance between the points A (–3, –14) and B (a, –5) is 9 units.

Question 8 :
Point P (0, 2) is the point of intersection of y–axis and perpendicular bisector of line segment joining the points A (–1, 1) and B (3, 3). State true or false.

Question 9 :
ABCD is a rectangle formed by the points A $\left(–1, –1\right)$, B $\left(– 1, 4\right)$, C $\left(5, 4\right)$ and D $\left(5, – 1\right)$. P, Q,R and S are the mid-points of AB, BC, CD and DA respectively. Name the type of quadrilateral.

Question 10 :
Find the point of intersection in which the y-axis divides the line segment joining the points $\left(5, – 6\right)$ and $\left(–1, – 4\right)$.

Question 11 :
Name the type of quadrilateral formed by the points $\left(4, 5\right)$, $\left(7, 6\right)$, $\left(4, 3\right)$ and $\left(1, 2\right)$

Question 12 :
The point which lies on the perpendicular bisector of the line segment joining the points A (–2, –5) and B (2, 5) is :

Question 13 :
Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A $\left(2, – 2\right)$ and B $\left(– 7, 4\right)$.

Question 14 :
What is the ratio in which the line $2x + y – 4 = 0$ divides the line segment joining the points A $\left(2, – 2\right)$ and B $\left(3, 7\right)$

Question 15 :
Find the area of the quadrilateral whose vertices, taken in order, are $\left(– 4, – 2\right)$, $\left(– 3, – 5\right)$, $\left(3, – 2\right)$ and $\left(2, 3\right)$.

Question 16 :
The distance of the point P (2, 3) from the x-axis is :

Question 17 :
What are the coordinates of the mid-point of the line segment joining the points P ($x_1,y_1$) and Q ($x_2,y_2$) ?

Question 18 :
Find the ratio of the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are $\left(0, –1\right)$, $\left(2, 1\right)$ and $\left(0, 3\right)$ to the area of the triangle whose vertices are $\left(0, –1\right)$, $\left(2, 1\right)$ and $\left(0, 3\right)$.

Question 19 :
Name the type of quadrilateral formed by the points $\left(–3, 5\right)$, $\left(3, 1\right)$, $\left(0, 3\right)$ and $\left(–1, – 4\right)$.

Question 20 :
Find the distance between the following pair of points: (2,3) , (4,1).

Question 21 :
Find a relation between x and y such that the point $\left(x, y\right)$ is equidistant from the point $\left(3, 6\right)$ and $\left(– 3, 4\right)$.

Question 22 :
The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is :

Question 23 :
If A $\left(–5, 7\right)$, B $\left(– 4, –5\right)$, C $\left(–1, –6\right)$ and D $\left(4, 5\right)$ are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

Question 24 :
Find the value of ‘k’, for which the points $\left(7, -2\right)$, $\left(5, 1\right)$ and $\left(3, k\right)$ are collinear

Question 25 :
Do the points $\left(3,2\right)$ , $\left(2,3\right)$ , $\left(-2,-3\right)$ form a triangle ?

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