Test Details

Coordinate Geometry

Oct 27, 7:00 AM

60 minutes

Nov 07, 9:00 PM

25.0 marks

MCQ

25 questions

ajay prajapati

Msc Bed

Class Details

Mathematics

Science

Class 10

Mathematics

Science

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Question Text

Question 2 :
If a point $$P\left(\displaystyle\frac{23}{5}, \frac{33}{5}\right)$$ divides line AB joining two points $$A(3, 5)$$ and $$B(x, y)$$ internally in ratio of $$2:3$$, then the values of x and y will be.

Question 3 :
The line $$x+y=4$$ divides the line joining the points $$(-1,1)$$ and $$(5,7)$$ in the ratio

Question 5 :
Given the points $$A(-3, 7)$$ and $$B(5, -9)$$, determine the coordinates of point P on directed line segment that partitions in the ratio $$\dfrac{1}{4}$$.

Question 6 :
Slope of the line $$AB$$ is $$-\dfrac {4}{3}$$. Co-ordinates of points $$A$$ and $$B$$ are $$(x, -5)$$ and $$(-5, 3)$$ respectively. What is the value of $$x$$

Question 7 :
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 8 :
$$A=\left(2,-1\right), B=\left(4,3\right)$$. If $$AB$$ is extended to $$C$$ such that $$AB=BC$$, then $$C=$$

Question 9 :
The coordinates of $$A$$ and $$B$$ are $$(1, 2) $$ and $$(2, 3)$$. Find the coordinates of $$R $$, so that $$A-R-B$$  and   $$\displaystyle \frac{AR}{RB} = \frac{4}{3}$$.<br/>

Question 10 :
The ratio in which the line joining the points $$(3, 4)$$ and $$(5, 6)$$ is divided by $$x-$$axis :

Question 11 :
Find the distance from the point (5, -3) to the line 7x - 4y - 28 = 0

Question 12 :
If the points (1,1) (2,3) and (5,-1) form a right triangle, then the hypotenuse is of length

Question 13 :
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 14 :
Harmonic conjugate of the point $$C(5, 1)$$ with respect to the point $$A(2, 10)$$ and $$B(6, -2)$$ is?

Question 15 :
The vertices of a triangle are $$(-2,0) ,(2,3)$$ and  $$(1, -3)$$ , then the type of the triangle is 

Question 16 :
$$P$$ is the point $$(-5,3)$$ and $$Q$$ is the point $$(-5,m)$$. If the length of the straight line $$PQ$$ is $$8$$ units, then the possible value of $$m$$ is:

Question 18 :
If A(x,0), B(-4,6), and C(14, -2) form an isosceles triangle with AB=AC, then x=

Question 19 :
A point R (2,-5) divides the line segment joining the point A (-3,5) and B (4,-9) , then the ratio is

Question 20 :
How far is the line 3x - 4y + 15 = 0 from the origin?

Question 22 :
Find the value of $$x$$ if the distance between the points $$(2, -11)$$ and $$(x, -3)$$ is $$10$$ units.

Question 23 :
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 

Question 24 :
A pair of numerical coordinates is required to specify each point in a ......... plane.

Question 25 :
An isosceles triangle has vertices at (4,0), (-4,0), and (0,8) The length of the equal sides is

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