# Class 10 Coordinate geometry maths Chapter 7 mcqs

Class 10 maths Coordinate Geometry – Here are some multiple choice questions (mcqs) for class 10 maths chapter 7 coordinate geometry for the best preparation for the exams. All the questions are important for the students whether they have taken basic or standard maths. All questions have been prepared for the best preparation by our expert team. Objective type questions are the part of the term 1 board exam 2021-22.

CBSE introduced the new pattern for board examination for the session of 2021-22. Term 1 exam of MCQ questions. And term 2 exam of subjective exams.

## Class 10 Coordinate Geometry – MATHS

Ch-7 Co-ordinate geometry

TERM –1

(40 mcqs)

1. 1. √2 times the distance between (0,5) and (-5,0) is ___
2. (a) 10 (b) 8 (c) 17 (d) 14
3. 2. In which quadrant does the point (-3,5) lie?
4. (a) I (b) II (c) III (d) IV
1. 3. If Q(a/3 , -4) is the midpoint of the segment joining the points P(6,-5) and R(2,-3) then the value of ‘a’ is
2. (a) 12 (b) -6 (c) -12 (d) -4
1. 4. The coordinated of the point which is reflection of point  (-3,5) in X axis are
2. (a) (3,5) (b) (3,-5) (c) (-3,-5) (d) (-3,5)
1. 5. The distance of the point (2,11) from the X axis is
2. (a) 11 units (b) 2 units (c) 13 units (d) 12 units
1. 6. Two vertices of a triangle re (-3,5) and (7,-4). If th centroid is (2,-1) then the third vertex is
2. (a) (2,4) (b) (-2,4) (c) (2,-4) (d) (-2,-4)
1. 7. Find the value of a so that the point (3,a) lies on the line represented by
2. 2x-3y=5.
3. (a) 1/3 (b) 1/5 (c) ¼ (d)1/6
1. 8. The point of intersection of the coordinate axes is
2. (a) X axis (b) Y axis (c) Origin (d) (1,2)
1. 9. In the given figure P(5,-3) and Q(3,y) are the points of trisection of the line segment joining A(4,7) and B(1,-5). Then y equals
2. (a) 2 (b) 4 (c) -4 (d) -5/2
1. 10. If the points P(x,y) is a equidistant from L (5,1) and M (-1,5) , the the relation between x and y is
2. (a) 3x=2y (b) x=y (c) 2x=3y (d) 3x=6y
1. 11. The coordinates of one of the points of trisection of  the line segment joining the points P (7,-2) and Q(1,-5) are
2. (a) (-13/3 , -1/3) (b) (3,5) (c) (-13/3 , -3) (d) (-5,-3)
• 12. The distance between points P (2,-3) and Q(10,y) is 10 then the value of y is
• (a) 3,-9 (b) 2,7 (c) 1,3 (d) 3,9
• 13.If p (a/3 , 4) is the midpoint of the line joining the points Q(-6,5) and R (2,3)then the value of a is
• (a) -4 (b) -12 (c) 12 (d) -6
1. 14. The graph of x2 + 1 = 0
2. (a) Intersecting X axis at two points (b) Touches X axis at a point
3. (c) Neither touches nor intersect X-axis (d) either touches or intersect X-axis
1. 15. If the points C(k,4) divides the join of points A(2,6) and B(5,1) in the ratio 1:3 then the value of k is
2. (a) 11 (b) 29/4 (c) 11/4 (d)9/4
1. 17. If a point is on y axis whose coordinate is 3 and Q is a point (-5,2) then the distance PQ is___ units –
2. (a) √26 (square root of 26) (b) √24 (square root of 24)
3. (c) 4 (d) √65 (square root of 65)

18. The centre of the circle (2a, a-7). If the circle passes through the point (1, -9) and has diameter 10√2  units then the value of a is –

(a) 9 (b) – √3 (c) +√3 (d) 3, -3

1. 19. The ration in which the segment joining the points (1,-30 and (4,5) is divide by x axis is –
2. (a) 3:5 (b) 5:3 (c) 4:7 (d) 7:4
1. 20. The x coordinate of a point P is twice its y coordinate. if p is equidistant from Q(1,-3) and R(-3,0) then the coordinate of P are
2. (a) (1/5 , 1/10) (b) (14 , 7) (c) (18 , 9) (d) (10,5)

#### Important questions for term 1 mcqs

1. 21. The pair of equations x=a and y-=b graphically represents lines, which are –
2. (a) Parallel (b) Intersecting at (b,a) (c) Coincident (d) Intersecting at (a,b)
1. 23. If the points A(4,3) and B(x,5) are on circle with centre O (2,3) then the value of x is
2. (a) 5 (b) 6 (c) 2 (d) 4
1. 24. If A=(a2,2a) and B=(1/a2 , -2/a) and S=(1,0) , then   1/SA + 1/SB  is equal to
2. (a) 2 (b) ½ (c) 1 (d) 1/3
1. 25. The distance of point (-12,5) from the origin is___units –
2. (a) 12 (b) 5 (c) 13 (d) 169
1. 26. The distance between point (x,5) and (3,2 ) is 5 , then value of x is
2. (a) -7 or -1 (b) -7 or 1 (c) 7 or 1 (d) 7 or -1
1. 27. If 5x – 3y + 2k=0 is the median of the triangle whose vertices are at points A(-1,3) and B(0,4) and c(-5,2) then value of k is
2. (a) 19 (b) 9.5 (c) 20.5 (d) 21.5
1. 28. If the point (x,y) is equidistant from (2,1) and(1,-2) then
2. (a) x+3y=0 (b) 3x+y=0 (c) x+2y=0 (d) 3x+2y=0
1. 29. The ration in which x axis divides the line segment joining A(3,6) and B (12,-3) is
2. (a) 2:1 (b) 1:2 (c) -2:1 (d) 1:-2
• 30. If A(5,3) and B(11,-5) and P (12,y) are the vertices of right angled triangle at P then y is equal to
• (a) -2 or 4 (b) -2 or -4 (c) 2 or -4 (d) 2 or 4
1. 31. The perimeter of triangle formed by (0,0) (2,0) (0,2) is_____ units –
2. (a) 1 – 2√2 (b) 2√2 + 1 (c) 4 + √2 (d) 4 + 2√2
1. 32. The ratio in which (6,8) and (-3,10) line segment is divided by (-1,6) is
2. (a) 2:3 (b) 2:5 (c) 7:2 (d) 2:7
1. 33. If P(-2,5) and Q(3,2) are two points . the coordinates of the point R and PQ such that PR=3QR are
2. (a) R(4/3 , 3) (b) R(7/4 , 11/4) (c) R(1/3 , 7) (d) None of these
3. 34. If (0,0) (3,3) and (3,p) are the vertices of equilateral triangle then p is –
4. (a) -√3 (b) √3 (c) 3 (d) -3
1.  35. If C(-2,1) is the midpoint joining the line segment A(-6,p) and B (2,p+6) then p is
2. (a) 2 (b) -2 (c) 0 (d) 4
1. 36. If four vertices of a parallelogram taken in order (-3,-1) , (a,b) ,(3,3) and (4,3) then a:b is equal to
2. (a) 1:4 (b) 4:1 (c) 1:2 (d) 2:1
1. 37. The points which divides joining the line segment the points (7,-6) and (3,4) in the ration 1:2 internally lies in the ___ quadrant
2. (a) I (b) II (c) III (d) IV
1. 38. If the point P(k,0) divides the line segment joining the points A(2,-2) and B(-7,4) in the ratio 1:2 then the value of k is –
2. (a) 1 (b) 2 (c) -2 (d) -1

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