25+ Coordinate Geometry MCQs Class 10 2021-22 | MCQ Questions for Class 10 Maths Coordinate Geometry with Answers

 

Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 7 of Class 10 Maths NCERT. You will read Coordinate Geometry MCQs for Term-1 Board Exams 2021-22.

Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked. 

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Coordinate Geometry MCQs |MCQ Questions for Class 10 Maths Coordinate Geometry with Answers:-

1. AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is:

(a) 5
(b) 3
(c) √34
(d) 4

Answer: (c) √34

2.  If the distance between the points (4, p) and (1, 0) is 5, then the value of p is:

(a) 4 only                                                       
(b) ± 4
(c) – 4 only                                                     
(d) 0

Answer: (b) ± 4

3. If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:

(a) 2
(b) -2
(c) 1
(d) -1

Answer: (a) 2

4. If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is:

(a) -63
(b) 63
(c) 60
(d) -60

Answer: (a) -63

5. If A(0, 3), B(5, 0) and C(-5, 0) are the vertices of ∆ABC, then the triangle is:

(a) Right-angled
(b) Isosceles
(c) Scalene
(d) Equilateral

Answer: (b) Isosceles

6. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are:

(a) (3, 3)
(b) (- 3, 3)
(c) (3, – 3)
(d) (-3,-3)

Answer: (b) (- 3, 3)

7. What will be the point of y-axis which will be equidistant from the points (-1, 0) and (3, 9)?

(a) (5, `\frac{89}{15}`)
(b) (1, `\frac{89}{18}`)
(c) (16, `\frac{89}{16}`)
(d) (0, `\frac{89}{18}`)

Answer: (d) (0, `\frac{89}{18}`)

8. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then:

(a) 2a = b
(b) a = -b
(c) a = 2b
(d) a= b

Answer: (a) 2a = b

9. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is:

(a) 0
(b) 9
(c) 5
(d) 7

Answer: (a) 0

10. The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the:

(a) I quadrant                                               
(b) II quadrant
(c) III quadrant                                             
(d) IV quadrant

Answer: (d) IV quadrant

11. Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis:

(a) 1 : 3
(b) 2 : 7
(c) 4 : 7
(d) 6 : 7

Answer: (c) 4 : 7

12. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is:

(a) -7 or -1
(b) -7 or 1
(c) 7 or 1
(d) 7 or -1

Answer: (d) 7 or -1

13. The area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is:

(a) 12 sq.units
(b) 24 sq.units
(c) 30 sq.units
(d) 32 sq.units

Answer: (b) 24 sq.units

14. If A(-6,7) and B(-1,-5) are two given points then the distance 2AB is:

(a) 13
(b) 26
(c) 169
(d) 238

Answer: (b) 26

15. In what ratio is the line segment joining the points A(2, 4) and B(6, 5) divided by the y-axis?

(a) 2:1 (internally)
(b) 2:1 (externally)
(c) 3:1 (internally)
(d) 3:1 (externally)

Answer: (d) 3:1 (externally)

16. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio:

(a) 3 : 4
(b) 3 : 2
(c) 2 : 3
(d) 4 : 3

Answer: (a) 3 : 4

17. If the segment joining the points (a, b) and (c, d) subtends a right angle at the origin, then:

(a) ac – bd = 0
(b) ac + bd = 0
(c) ab + cd = 0
(d) ab – cd= 0

Answer: (b) ac + bd = 0

18. The coordinates of the ends of the diameter AB of a circle are A (-4, 7) and B(4, 7). What will be the coordinates of the center of the circle?

(a) (0, -8)
(b) (0, 8)
(c) (0, 7)
(d) (0, -7)

Answer: (c) (0, 7)

19. The perimeter of the triangle with vertices (0,4), (0,0) and (3,0) is:

(a) 7 + √5
(b) 5
(c) 10
(d) 12

Answer: (d) 12

20. Three points A (X₁, Y₁), B (X₂, Y₂) and C (X₃, Y₃) are collinear only when `\frac{1}{2}` {X₁ (,Y₂ – Y₃ ) + X₂ (Y₃ – Y₁ ) + X₃ (Y₁ – Y₂ ) } = 0.

(a) False
(b) True

Answer: (b) True

21. Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is:

(a) (10, 2)
(b) (-10,2)
(c) (10,-2)
(d) (-10,-2)

Answer: (c) (10,-2)

22.  A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid - point of PQ, then the coordinates of P and Q are, respectively:

(a) (0, – 5) and (2, 0)                                     
(b) (0, 10) and (– 4, 0)
(c) (0, 4) and (– 10, 0)                                   
(d) (0, – 10) and (4, 0)

Answer: (d) (0, – 10) and (4, 0)

23. If the points A (a, 0), B (0, b) and C (c, 0) are collinear then a = -c.

(a) False
(b) True

Answer: (a) False

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

(a) (a + b + c)² 
(b) 0 
(c) a + b + c 
(d) ab

Answer: (b) 0

25. If (a, 0) , (0, b) and (x, y) are collinear, then:

(a) ay + bx = ab
(b) ax + by = 1
(c) ax – by = ab
(d) ay – bx = 1

Answer: (a) ay + bx = ab

26. The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is:

(a) (0, 1)
(b) (0, -1)
(c) (-1, 0)
(d) (1, 0)

Answer: (b) (0, -1)

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

(a) (0, 0) 
(b) (0, 2) 
(c) (2, 0) 
(d) (–2, 0)

Answer: (a) (0, 0)

28. The points (k + 1, 1), (2k + 1, 3) and (2k + 2, 2k) are collinear if:

(a) k = -1, 2
(b) k=`\(\frac{1}{2}\)`, 2
(c) k = 2, 1
(d) k = `–\(\frac{1}{2}\)`, 2

So guys here comes end. In this article, I shared 25+ Coordinate Geometry MCQs of CBSE Class 10 Maths MCQs 2021-22. 

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