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Coordinate Geometry

Nov 13, 4:00 PM

90 minutes

Nov 13, 5:30 PM

30.0 marks

MCQ

30 questions

Umesh yadav

" we don't teach , we train"

Class Details

Maths

10th

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Question Text

Question 2 :
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 3 :
$$P$$ 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 4 :
The coordinates of the midpointof a line segment joining$$P ( 5,7 )$$ and Q $$( - 3,3 )$$ are

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

Question 6 :
Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0

Question 9 :
The points which trisect the line segment joining the points $$(0,0)$$ and $$(9,12)$$ are

Question 10 :
The points $$(-2, -1), (1, 0),(4, 3),$$ and $$(1, 2)$$ are the vertices

Question 11 :
$$M(2, 6)$$ is the midpoint of $$\overline {AB}$$. If $$A$$ has coordinates $$(10, 12)$$, the coordinates of $$B$$ are

Question 13 :
A pair of numerical coordinates is required to specify each point in a ......... plane.

Question 14 :
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 15 :
Find the value of $$x$$ if the distance between the points $$(2, -11)$$ and $$(x, -3)$$ is $$10$$ units.

Question 16 :
The ratio in which the line joining the points $$(3, 4)$$ and $$(5, 6)$$ is divided by $$x-$$axis :

Question 17 :
Which of the following points is not 10 units from the origin ?

Question 18 :
A rectangular hyperbola whose cente is C is cut by any circle of radius r in four point P, Q, R, S. The value of$$CP^{2}+CQ^{2}+CR^{2}+CS^{2}$$ is equal to :

Question 19 :
In what ratio, does $$P(4, 6)$$ divide the join of $$A(-2, 3)$$ and $$B(6, 7)$$

Question 20 :
Given the points $$A(-1,3)$$ and $$B(4,9)$$.Find the co-ordinates of the mid-point of $$AB$$

Question 21 :
Distance between the points $$(2,-3)$$ and $$(5,a)$$ is $$5$$. Hence the value of $$a=$$............

Question 22 :
If Q$$\displaystyle \left ( \frac{a}{3},4 \right )$$ is the mid-point of the line segment joining the points A(-6,5) and B(-2,3), then the value of 'a' is

Question 23 :
Find the co-ordinates of the mid point of a point that divides AB in the ratio 3 : 2.

Question 24 :
If the distance between the points $$(4, p)$$ and $$(1, 0)$$ is $$5$$, then the value of $$p$$ is:<br/>

Question 25 :
A line is of length $$10$$ m and one end is $$(2,-3)$$, the $$x$$ - co-ordinate of the other is $$8$$, then its $$y$$- coordinate is:

Question 26 :
If $$P \left( \dfrac{a}{3}, 4\right)$$ is the mid-point of the line segment joining the points $$Q ( 6, 5) $$  and $$R( 2, 3)$$, then the value of $$a$$ is <br/>

Question 27 :
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 28 :
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 29 :
The coordinates of $$A, B$$ and $$C$$ are $$(5, 5), (2, 1)$$ and $$(0, k)$$ respectively. The value of $$k$$ that makes $$\overline {AB} + \overline {BC}$$ as small as possible is

Question 30 :
If a point $$C$$ be the mid-point of a line segment $$AB$$, then $$AC = BC = (...) AB$$.

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