Coordinate Geometry
28 solved questions from Class 10 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Find the distance between the points A(3, -2) and B(-1, 4). easy MCQ 1 mark Distance formula
- 2 The points A(1,2), B(5,6) and C(k, 14) are vertices of a triangle. medium 4 marks Collinearity and area of triangle using determinant
- 3 Find the coordinates of the point that divides the line segment joining P(2,3) and Q(8, -1) in the ratio 3:2 internally. easy 2 marks Section formula (internal)
- 4 Find the equation of the line that passes through the point (4, -3) and is parallel to the line 2x - 5y + 7 = 0. medium 3 marks Equation of a line – parallelism
- 5 A line L passes through the point A(3, -2) and is perpendicular to the line 4x + 3y - 7 = 0. hard 5 marks Perpendicular lines and foot of a perpendicular (using formula)
- 6 Find the equation of the line that passes through the points (2,5) and (-1,-4). Write the equation in the form ax+by+c=0. easy 2 marks Equation of line through two points
- 7 Find the distance between the points A(-3,2) and B(4,-1). Give your answer in simplest radical form. easy 2 marks Distance formula
- 8 Find the equation of the line that passes through the point (6,-2) and is parallel to the line joining the points (1,1) and (4,7). Write the final equation in the form ax+by+c=0. medium 3 marks Equation of a line parallel to a given line
- 9 Which of the following is the correct equation of the line that passes through the point (3,-1) and is parallel to the line 2x - y + 5 = 0? Write the equation in the form ax+by+c=0. medium MCQ 2 marks Equation of a line parallel to a given line
- 10 Find the distance between the points P(1,-2) and Q(7,4). Give your answer in simplest radical form. easy 1 mark Distance formula
- 11 Find the coordinates of the point that divides the line segment joining A(-2,5) and B(6,-3) in the ratio 4:1 internally. medium 2 marks Section formula (internal division)
- 12 The points A(k,2), B(4,k+1) and C(6,5) are collinear. Which of the following is the larger possible value of k? hard MCQ 3 marks Collinearity using equal slopes
- 13 The vertices of a triangle are P(1,2), Q(5,8) and R(k, k^2). If the area of the triangle is 12 square units, find all possible values of k. hard 5 marks Area of triangle using determinant
- 14 What is the sum of all interior angles of a triangle? medium MCQ Angle Sum Property
- 15 What is the sum of interior angles of a quadrilateral? medium MCQ Polygon Angles
- 16 In a right triangle with legs 3 cm and 4 cm, find hypotenuse length. medium MCQ Pythagoras Theorem
- 17 How many tangents can be drawn to a circle from an external point? medium MCQ Tangents to Circle
- 18 What is the angle between a tangent and the radius at the point of contact? medium MCQ Tangent Properties
- 19 Two triangles are similar if their corresponding sides are in ____. medium MCQ Similar Triangles
- 20 Find the perimeter of a square with side length 6 cm. medium MCQ Perimeter of Square
- 21 What is the formula for area of a circle with radius r? medium MCQ Area of Circle
- 22 If diameter of a circle is 14 cm, what is its radius? medium MCQ Circle Definitions
- 23 State Pythagoras Theorem for a right-angled triangle. medium MCQ Pythagoras Theorem
- 24 What is the domain, range, or fundamental theorem introduced in 'Coordinate Geometry' (Class 10 Mathematics)? medium MCQ Functions & Theorems
- 25 What is the derivative or integral formula associated with 'Coordinate Geometry'? medium MCQ Calculus & Formulae
- 26 How do you find the solution set or optimum value in 'Coordinate Geometry'? medium MCQ Problem Solving & Optimization
- 27 Find the distance between the points P(2,3) and Q(-1,7) in simplest radical form. easy 1 mark Distance formula
- 28 Find the equation of the line that passes through the point (4,5) and is perpendicular to the line 3x-4y+2=0. Then find its point of intersection with the line 2x+y-7=0. medium 3 marks Equation of perpendicular line