Chap-7 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

Free Online Discussion for MCQs                Previous   Next     
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 7 : Coordinate Geometry            Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018
Revision

1a. This study of coordinate geometry was initially developed by

a)      René Déscartes

b)      Galileo

c)      Newton

d)     Einstein

2a. The x-axis and y-axis divide xy-plane into

a)      One quadrant

b)      Two quadrants

c)      Three quadrants

d)     Four quadrants

3a. The shortest distance of a point from x-axis is known as

a)      x- coordinate

b)      y-coordinate

c)      z-coordinate

d)     None

4a. The x and y coordinates of a point are called as

a)      Ordinate & Abscissa respectively

b)      Abscissa & Ordinate respectively

c)      Ordinate & Co-ordinate respectively

d)     Co-ordinate & Ordinate respectively

5a. Which of the following points is equidistant from both x and y axes.

a)      (-2, 2)

b)      (2, 2)

c)      (-2, -2)

d)     All of the above

6a. In which coordinate the point (-2,-15) lies

a)      I Quadrant

b)      II Quadrant

c)      III Quadrant

d)     IV Quadrant

7a.  The point (-3, 5) lies

a)      on the right of y-axis and above the x-axis

b)      on the right of y-axis and below the x-axis

c)      on the left of y-axis and above the x-axis

d)     on the left of y-axis and below the x-axis

8a. Choose the incorrect option

a)      The point lies on left of y-axis if its abscissa is negative

b)      The point lies on right of y-axis if its abscissa is positive

c)      The point lies above the x-axis if its ordinate is negative

d)     The point lies above the x-axis if its ordinate is positive

9a. The point (-5, 0) lies on

a)      x-axis

b)      y-axis

c)      above x-axis

d)     below x-axis

10a. The point which lies on both x and y axes is

a)      (0, 0)

b)      (1, 0)

c)      (0, 1)

d)     (1, 1)

11a. Which of the following has zero distance from x- axis?

a)      (0, 0)

b)      (1, 0)

c)      (-1, 0)

d)     All of the above

12a. Fill in the blanks

The coordinates of a point on the x-axis are of the form _____ and that of the point on the y-axis are _____.

a)      (0 , x) , (0, y)

b)      (x , 0) , (y, 0)

c)      (x , y) , (y, x)

d)     (x , 0) , (0, y)

1. The distance between two points (a, 2a) and (3a,-5a) is

      a) a√53 

      b) 2a√35  

      c) 3a√53 

      d) 5a√53

2. The distance of a point (a, 3a) from the origin is

a) √10a

b) √10a

c) √8a

d) √8a

3. Find a relation between x and y such that the point (x, y) is equidistant from the points (1, 2) and (2, 1).

a)      x + y =1

b)      x - y =1

c)      y =x

d)     y=-x

4. Find the equation of perpendicular bisector of AB where A = (1, 2) and B = (-1, -2)

a)      x +y = 0

b)      3x + 8y = 0

c)      x +y = 1

d)     3x + 8y = 1

5. Find a point on the y-axis which is equidistant from the points A (3, 2) and B (– 1, 5)

a)      (0,13/6)

b)      (0,-13/6)

c)      (0, 5/6)

d)     (0, -5/6)

6. Find the intersection point of x-axis and the perpendicular bisector of line joining the points (2, 3) and (3, 1)

a)      (0, 1.5)

b)      (0, -1.5)

c)      (1.5, 0)

d)     (-1.5, 0)

7. Find the value of x such that distance between (2, 1) and (x, 3) is 2

a)      0

b)      1

c)      2

d)     4

8. If (2, 3) is equidistant from (2, –2) and (x,1), Find the value of x.

a)      -2,

b)      6

c)      Both a & b

d)     None

9. The coordinates of the point P(x, y) which divides the line segment joining the points A (x₁, y₁) and B(x₂, y₂), internally, in the ratio m₁: m₂ are

a)      (m₁x₂+m₂x₁)/ (m₁+m₂), (m₁y₂+m₂y₁)/ (m₁+m₂)

b)      (m₁x₁+m₂y₁)/ (m₁+m₂), (m₁x₁+m₂y₂)/ (m₁+m₂)

c)      (m₁x₁-m₂x₂)/ (m₁+m₂), (m₁y₁-m₂y₂)/ (m₁+m₂)

d)     (m₁y₁-m₂y₁)/ (m₁+m₂), (m₁x₁-m₂y₂)/ (m₁+m₂)

10. The coordinates of the point P(x, y) which divides the line segment joining the points A (x₁, y₁) and B(x₂, y₂), internally, in the ratio k₁: 1 are

a)      (kx₁+x₂)/ (k+1), (ky₁+y₂)/ (k+1)

b)      (kx₂+x₁)/ (k+1), (ky₂+y₁)/ (k+1)

c)      (kx₁+x₂)/ (k-1), (ky₁+y₂)/ (k-1)

d)     (kx₂+x₁)/ (k-1), (ky₂+y₁)/ (k-1)

11. Find the coordinates of the point which divides the line segment joining the points (0, – 3) and (8, 0) in the ratio 3: 1 internally.

a)      (3/4, -4/3)

b)      (-3/4, 4/3)

c)      (6, -3/4)

d)     (6, 4/3)

12. The midpoint of a line segment joining the points (-2, 3) and (6,-7) is

a)      (1,1)

b)      (-1,1)

c)      (-2 ,2)

d)     (2,-2)

13. The coordinates of P and Q are (2, 5) and (6, 7) respectively, find the coordinate of point R on PQ such that QR = 2PR

a)      (-3,6)

b)      (3,6)

c)      (6,3)

d)     (6,-3)

14. Find the ratio in which the x-axis divides the line segment joining the points (2, – 3) and (–2, 5).

a)      3:5

b)      5:3

c)      4:3

d)     3:4

15. Find the coordinates of the point where y-axis intersect the line segment joining the points (2, – 3) and (–2, 5).

a)      (0,4)

b)      (0,-4)

c)      (4,0)

d)     (-4,0)

16. If the points A(6, 1), B(8, 2), C(9, 4) and D(x, y) are the vertices of a parallelogram, taken in order, Find x and y.

a)      x=2 & y=5

b)      x=5 & y=2

c)      x=7 & y=3

d)     x=3 & y=7

17. Find the ratio in which the line segment joining the points (2, 1) and (5, 7) is divided by (4,5).

a)      2:1

b)      2:3

c)      3:4

d)     1:4

18. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (4, 3) and B is (6, 1).

a)      (-2,-5)

b)      (-2,3)

c)      (2,5)

d)     (2,2)

19. If A and B are (– 2, – 3) and (5, 3), respectively, find the coordinates of P such that

AB = (6/5) BP and P lies on the line segment AB.

a)      (-5,-2)

b)      (-5/6, -2)

c)      (5/6, 2)

d)     (5, 2)

20. Find the coordinate of the point P such that AP is one-fourth of the line segment joining A (– 3, 2) and B (5, 2) into four equal parts.

a)      (2,3/4)

b)      (3,3/4)

c)      (-3/4,2)

d)     (0,3/5)

21. Find the area of a rhombus if its vertices are (0, 0), (4, 1), 5, 5) and (1, 4) taken in order

a)      10 unit.sq

b)      15 unit.sq

c)      20 unit.sq

d)     25 unit.sq

22. Find the area of a triangle whose vertices are (0, 0), (– 3, 4) and (4, 3).

     a) 7

     b) √7

     c) √5

     d) √5

23. Find the area of triangle formed whose vertices are (-3, 5), (0, 4) and (3, 3).

a)     0

b)    1

c)     2

d)    4

24. Find the value of k foe which the points (-2, 4), (-1,-2) and (0, k) Line segment.

a)     0

b)    1

c)     2

d)    4

25. Find the area of the triangle formed by joining the mid-points of the sides of the triangle 

hose vertices are (2, 4), (6, -6) and   (-2, -4).

a) √3

b) 2√3

c) √2

d) 2√2

Previous   Next  
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15

 # Students are welcome to discuss online, the above mention MCQs.

The discussion is free for all,appearing in XI/Dip.Engg. Entrance -2018

Office:Silver Plaza, Opposite Kabir Colony , Anoop Shaher Road, Jamalpur Aligarh-202002, U.P-India

Contact Number: +91-9045756384,9548040225.

e-mail id : qacademyaligarh@gmail.com