Class 10 Mathematics — Coordinate Geometry
10 MCQ Tests × 10 Questions = 100 Questions
Practice quiz prepared from the uploaded Coordinate Geometry MCQ material.
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Test 1
Class 10 Mathematics — Coordinate Geometry
Q1.If P(a/2, 4) is the midpoint of A(-6, 5) and B(-2, 3), then a is:
Q2.For A(3,1), B(5,p), C(7,-5) to be collinear, p is:
Q3.The point dividing A(2,-5) and B(5,2) in the ratio 2:3 lies in quadrant:
Useful resource: Ravi Test Papers
Q4.The x-axis divides A(3,6) and B(-12,-3) in the ratio:
Q5.P(k,0) divides A(2,-2) and B(-7,4) in ratio 1:2. Then k =
Q6.The distance between (m,-n) and (-m,n) is:
Useful resource: CBSE Class 10 Maths
Q7.If A(x,2), B(-3,-4), C(7,-5) are collinear, x is:
Q8.Reflection of (-3,5) in the x-axis is:
Q9.For A(0,1), B(2,k), C(4,-5) to be collinear, k is:
Useful resource: CBSE Class 10 Science
Q10.Midpoint of A(-5,2) and B(4,6) is:
Test 2
Class 10 Mathematics — Coordinate Geometry
Q1.The distance of (-3,4) from the x-axis is:
Q2.If A(-6,7) and B(-1,-5), then AB is:
Q3.Point dividing A(1,3), B(4,6) in ratio 2:1 is:
Useful resource: CBSE Class 10 English
Q4.The centre of the circle whose diameter endpoints are (-6,3) and (6,4) is:
Q5.Distance of (5,12) from the y-axis is:
Q6.A(-1,0), B(3,1), C(2,2), D(-2,1) form a:
Useful resource: CBSE Class 10 Social Science
Q7.A point on the x-axis equidistant from (7,6) and (-3,4) is:
Q8.If P(2,4) lies on a circle with centre C(5,8), its radius is:
Q9.For square vertices (0,-1),(2,1),(0,3),(-2,1), its side is:
Useful resource: CBSE Class 10 All Subjects
Q10.If P(x,y) is equidistant from A(5,1) and B(-1,5), then:
Test 3
Class 10 Mathematics — Coordinate Geometry
Q1.The y-axis divides P(-4,2) and Q(8,3) in the ratio:
Q2.Distance between (a,b) and (-a,b) is:
Q3.Distance of (3,4) from the x-axis is:
Useful resource: Ravi Test Papers .in
Q4.Points (-4,0),(4,0),(0,3) form a:
Q5.If (a,0),(0,b),(1,1) are collinear, then:
Q6.Distance between (0,5) and (-5,0) is:
Useful resource: RAVI MATHS TUITION CENTRE YouTube
Q7.If (t,2t),(-2,6),(3,1) are collinear, t is:
Q8.The fourth vertex of parallelogram ABCD for A(-2,3), B(6,7), C(8,3) is:
Q9.If P(2,1) divides AB internally with A(4,2), B(8,4), then AP:PB is:
Useful resource: Ravi Test Papers
Q10.A point on x-axis with abscissa 5 and B(1,-3). AB is:
Test 4
Class 10 Mathematics — Coordinate Geometry
Q1.A segment has length 10; one endpoint is (2,-3), other has abscissa 10. Its ordinate can be:
Q2.The x-axis divides A(2,-3) and B(5,6) in ratio:
Q3.If a circle centred at origin passes through (0,√34), its radius is:
Useful resource: CBSE Class 10 Maths
Q4.Area of triangle with vertices (a,b+c),(b,c+a),(c,a+b) is:
Q5.Midpoint P(0,4) of AB; B(-2,3). A is:
Q6.If A(5,p), B(1,5), C(2,1), D(6,2) form a square, p is:
Useful resource: CBSE Class 10 Science
Q7.Point (0,2) is equidistant from (3,k) and (k,5). Then k is:
Q8.C(k,4) divides A(2,6), B(5,1) in ratio 2:3. k is:
Q9.Centroid of (7,x),(y,-6),(9,10) is (6,3). Then (x,y) is:
Useful resource: CBSE Class 10 English
Q10.If A(1,2), O(0,0), C(a,b) are collinear, then:
Test 5
Class 10 Mathematics — Coordinate Geometry
Q1.A triangle has vertices (-1,4),(5,2), and centroid (0,-3). Third vertex is:
Q2.A point on the perpendicular bisector of A(-2,-5), B(2,5) can be:
Q3.Distance of P(-6,8) from origin is:
Useful resource: CBSE Class 10 Social Science
Q4.Midpoint of (3p,4) and (-2,4) is (5,p). Then p is:
Q5.If A(4,9), B(2,3), C(6,5), the midpoint D of AB is:
Q6.For A(4,9), B(2,3), C(6,5), the median CD has length:
Useful resource: CBSE Class 10 All Subjects
Q7.The line 2x+y-4=0 divides A(2,-2), B(3,7) in ratio:
Q8.The quadrilateral with vertices (1,7),(4,2),(-1,1),(-4,4) is a:
Q9.If diameter endpoints are (2,3) and centre (-2,5), other endpoint is:
Useful resource: Ravi Test Papers .in
Q10.Centroid of A(-1,0), B(5,-2), C(8,2) is:
Test 6
Class 10 Mathematics — Coordinate Geometry
Q1.Centre of circle with diameter endpoints (-4,-3) and (2,7) is:
Q2.If a line divides A(2,-2), B(3,7) in ratio 2:9, its division point satisfies:
Q3.The centroid formula for vertices (x1,y1),(x2,y2),(x3,y3) gives x-coordinate:
Useful resource: RAVI MATHS TUITION CENTRE YouTube
Q4.The y-coordinate of the midpoint of (4,9) and (2,3) is:
Q5.If a point is equidistant from A(5,1) and B(-1,5), its locus satisfies:
Q6.Distance between A(4,0) and B(8,4) is:
Useful resource: Ravi Test Papers
Q7.Distance between (4,9) and (2,3) is:
Q8.A quadrilateral whose all four sides are equal and diagonals are equal is a:
Q9.If a point lies on the x-axis, its ordinate is:
Useful resource: CBSE Class 10 Maths
Q10.If a point lies on the y-axis, its abscissa is:
Test 7
Class 10 Mathematics — Coordinate Geometry
Q1.The distance of a point (x,y) from the x-axis is:
Q2.The distance of a point (x,y) from the y-axis is:
Q3.A point (−3,5) lies in quadrant:
Useful resource: CBSE Class 10 Science
Q4.A point (3,−5) lies in quadrant:
Q5.A point (−3,−5) lies in quadrant:
Q6.A point (3,5) lies in quadrant:
Useful resource: CBSE Class 10 English
Q7.Midpoint of A(2,6) and B(8,4) is:
Q8.The point dividing A(2,-5), B(5,2) in ratio 2:3 is:
Q9.Distance between (−6,8) and origin is:
Useful resource: CBSE Class 10 Social Science
Q10.If a circle has centre (0,0) and radius 5, a point on the circle satisfies:
Test 8
Class 10 Mathematics — Coordinate Geometry
Q1.If three points are collinear, the area of the triangle formed by them is:
Q2.For A(3,1), B(5,p), C(7,-5), collinearity gives p:
Q3.For A(x,2), B(-3,-4), C(7,-5), collinearity gives x:
Useful resource: CBSE Class 10 All Subjects
Q4.For A(0,1), B(2,k), C(4,-5), collinearity gives k:
Q5.For A(1,2), O(0,0), C(a,b), collinearity gives:
Q6.The area formula for coordinates uses a factor of:
Useful resource: Ravi Test Papers .in
Q7.If two points have the same y-coordinate, the segment joining them is:
Q8.If two points have the same x-coordinate, the segment joining them is:
Q9.A point on the x-axis has coordinates of the form:
Useful resource: RAVI MATHS TUITION CENTRE YouTube
Q10.A point on the y-axis has coordinates of the form:
Test 9
Class 10 Mathematics — Coordinate Geometry
Q1.For points P(-4,2), Q(8,3), the y-axis division ratio is:
Q2.For A(2,-2), B(-7,4), P(k,0) in ratio 1:2, k is:
Q3.The midpoint of diameter endpoints (-6,3) and (6,4) is:
Useful resource: Ravi Test Papers
Q4.The other end of a diameter with one end (2,3) and centre (-2,5) is:
Q5.A rectangle with B(4,0), C(4,3), D(0,3) has diagonal length:
Q6.The distance between (m,-n) and (-m,n) is:
Useful resource: CBSE Class 10 Maths
Q7.The distance between (a,b) and (-a,b) is:
Q8.The distance from (5,12) to y-axis is:
Q9.The distance from (-3,4) to x-axis is:
Useful resource: CBSE Class 10 Science
Q10.The point (0,0) is equidistant from the vertices of a right triangle when it is the midpoint of the:
Test 10
Class 10 Mathematics — Coordinate Geometry
Q1.The centroid of a triangle with vertices (7,5), (2,-6), (9,10) is:
Q2.If centroid is (6,3) for (7,x),(y,-6),(9,10), then x+y equals:
Q3.For triangle P(-3,4), Q(3,4), R(-2,-1), midpoint of PQ is:
Useful resource: CBSE Class 10 English
Q4.For the same P,Q,R, midpoint of RQ is:
Q5.For P(-3,4), Q(3,4), R(-2,-1), centroid is:
Q6.The centroid of the triangle formed by joining the midpoints of the sides of a triangle is:
Useful resource: CBSE Class 10 Social Science
Q7.If D is midpoint of AB, then AD:DB is:
Q8.If P is a trisection point nearer A, then AP:PB is:
Q9.The midpoint of (3,6) and (7,2) is:
Useful resource: CBSE Class 10 All Subjects
Q10.If a point divides AB internally in ratio 2:1, the section formula weights the endpoint A by:



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