Coordinate Geometry
28 solved questions from Class 9 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 What is the sum of all interior angles of a triangle? medium MCQ Angle Sum Property
- 2 What is the sum of interior angles of a quadrilateral? medium MCQ Polygon Angles
- 3 In a right triangle with legs 3 cm and 4 cm, find hypotenuse length. medium MCQ Pythagoras Theorem
- 4 How many tangents can be drawn to a circle from an external point? medium MCQ Tangents to Circle
- 5 What is the angle between a tangent and the radius at the point of contact? medium MCQ Tangent Properties
- 6 Two triangles are similar if their corresponding sides are in ____. medium MCQ Similar Triangles
- 7 Find the perimeter of a square with side length 6 cm. medium MCQ Perimeter of Square
- 8 What is the formula for area of a circle with radius r? medium MCQ Area of Circle
- 9 If diameter of a circle is 14 cm, what is its radius? medium MCQ Circle Definitions
- 10 State Pythagoras Theorem for a right-angled triangle. medium MCQ Pythagoras Theorem
- 11 What is the domain, range, or fundamental theorem introduced in 'Coordinate Geometry' (Class 9 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Coordinate Geometry'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Coordinate Geometry'? medium MCQ Problem Solving & Optimization
- 14 Which of the following is the equation of the line passing through the points (2,3) and (5,11)? easy MCQ 2 marks Equation of a straight line through two points
- 15 If the diameter of a circle is 18 cm, what is its radius? easy 2 marks Diameter–radius relationship
- 16 Find the distance between points P(-1,4) and Q(7,-2). medium 3 marks Distance formula
- 17 Find the perpendicular distance of the point (0,5) from the line 3x-4y=12. medium 2 marks Distance from point to line.
- 18 The line L1 passes through the point (0,2) and has slope –3. Find its intersection point with the line 2x+3y=5. medium MCQ 2 marks Intersection of two lines.
- 19 Find the equation of the straight line passing through the points A(1,4) and B(5,8). easy 1 mark Slope and line equation.
- 20 A circle has its diameter with endpoints at (2,3) and (8,7). Find the equation of the circle and then determine the length of a tangent drawn from the external point (10,10) to this circle. hard 5 marks Circle radius, centre, tangent length.
- 21 Find the equation of the line that is perpendicular to 3x+4y=12 and passes through the point (2,-1). medium 3 marks perpendicular line equation
- 22 Find the distance between the points P(1,2) and Q(4,6). easy 2 marks distance between points
- 23 Find the perpendicular distance between the parallel lines 3x-4y=12 and 3x-4y=24. hard 4 marks distance between parallel lines
- 24 A circle has centre at (3,-2) and passes through the point (8,1). Find the equation of the circle and then determine the length of a tangent drawn from the external point (5,5) to this circle. hard 5 marks circle equation and tangent length
- 25 Find the perpendicular distance of the point (5,−3) from the line 2x+3y=6. medium MCQ 1 mark Distance from point to line
- 26 Find the distance between the points A(2,3) and B(9,7). easy 1 mark Distance between points
- 27 A circle has centre (1,−4) and radius 5. Find its equation and the length of a tangent drawn from the point (6,2) to this circle. medium 2 marks Circle equation & tangent length
- 28 A line passes through the point (0,3) and is parallel to the line 4x−5y=10. Find its intersection point with the line y=−2x+7. hard 3 marks Parallel lines & intersection