Coordinate Geometry

CBSE Class 10 Mathematics · every board question from this chapter, 2025–2025 · 16 of them repeated across years

• The distance of the point (4,0) from x -axis is:2025
• The mid-point of the line segment joining the points P(-4,5) and Q(4,6) lies on:2025asked 2×
• The perimeter of the triangle formed by the vertices (0, 0), (2,0) and (0,2) is:2025
• The distance of a point A from x -axis is 3 units. Which of the following cannot be coordinates of the point A?2025
• The distance of the point A(-3, -4) from x -axis is2025
• The coordinates of the end points of a diameter of a circle are (5, -2) and (5, 2). The length of the radius of the circle is:2025asked 3×
• The distance of which of the following points from origin is less than 5 units?2025
• The equation of a line parallel to y -axis and at a distance of 5 units to the right of y -axis is:2025
• The points (- 5, 0), (5, 0) and (0, 4) are the vertices of a triangle which is a/an:2025asked 2×
• In the figure given below, points P, Q, R divides the line segment AB in four equal parts. The point Q divides PB in the ratio2025
• The point P divides the line segment AB in the ratio 3: 1 as shown below: The value of (AB)/(PB) is2025
• The line represented by x/4+y/6=1, intersects x -axis and y -axis respectively at P and Q. The coordinates of the mid-point of…2025asked 2×
• Two of the vertices of Δ PQR are P(-1,5) and Q(5,2). The coordinates of a point which divides PQ in the ratio 2: 1 are:2025asked 3×
• The distance of point (a, -b) from x -axis is2025
• The distance of point P(1,-1) from x -axis is:2025
• The distance of point P(3 a, 4 a) from y -axis is2025
• If the mid-point of the line segment joining the points (a, 4) and (2, 2b) is ( 2,6 ), then the value of ( a+b ) is given by:2025
• In the following figure, P and Q are points of trisection of line segment AB: the value of (AB)/(PB)=2025
• AOBC is a rectangle whose three vertices are A (0,2), O (0,0) and B (4,0). The square of the length of its diagonal is equal to:2025asked 2×
• The equation of a line parallel to the x-axis and at a distance of 3 units below x-axis is:2025asked 2×
• The coordinates of the end points of the line segment AB are A(-2, -2) and B(2,-4). P is the point on AB such that BP=4/7 AB.…2025asked 3×
• Find the coordinates of the point C which lies on the line AB produced such that AC=2 BC, where coordinates of points A and B are…2025asked 3×
• Prove that abscissa of a point P which is equidistant from points with coordinates A(7, 1) and B(3, 5) is 2 more than its…2025asked 3×
• Find the length of the median through the vertex B of ABC with vertices A(9, -2), B(-3, 7) and C(-1, 10).2025
• If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and x+y-10=0, find the value of k. OR Find…2025asked 3×
• If (a, b) is the mid-point of the line segment joining the points A(10, - 6) and B(k, 4) and a-2 b=18, then find the value of k.2025
• Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also find the point of…2025asked 3×
• P(x, y), Q(-2,-3) and R(2,3) are the vertices of a right triangle PQR right angled at P. Find the relationship between x and y.…2025asked 3×
• If the mid-point of the line segment joining the points A(3,4) and B(k, 6) is P(x, y) and x+y-10=0, then find the value of k.2025asked 2×
• Find a relation between x and y such that P(x, y) is equidistant from the points A(3, 5) and B(7, 1). Hence, write the…2025asked 3×
• If the points A(6,1), B(p, 2), C(9,4) and D(7, q) are the vertices of a parallelogram ABCD, then find the values of p and q.…2025asked 3×

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