CAT Coordinate geometry Questions

Coordinate geometry describes shapes using points and equations. Distances, slopes and midpoints translate geometric relationships into algebra that can be checked on a coordinate sketch.

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Key concepts

Distance and midpoint
Slope and equations of lines
Parallel and perpendicular lines

CAT coordinate geometry practice questions

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Practise Free Tests on InsideIIM

Common mistakes

Dividing by zero when finding the slope of a vertical line.
Reversing the ratio in a section formula.

Practical solving approaches

Plot a rough sketch and label the coordinates.
Choose equations that reflect the required relationship and handle vertical lines separately.

Coordinate geometry FAQs

Does every line have a numerical slope?: No. A vertical line has undefined slope and is written as x equal to a constant.

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CAT coordinate geometry practice questions

Question 1Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

If the abscissa of the point of intersection of the lines 4x + 5y = 20 and y = mx + 3 is an integer, then the number of positive integral values for m are:

Question 2Multiple choiceEASY

Select the correct alternative from the given choices

Find the number of points with integer coordinates that are at a distance of less than 5 units from the point (1, 2) on the x-y
plane.

CAT Coordinate geometry Questions

Coordinate geometry describes shapes using points and equations. Distances, slopes and midpoints translate geometric relationships into algebra that can be checked on a coordinate sketch.

2 free practice questions

Key concepts

Distance and midpoint
Slope and equations of lines
Parallel and perpendicular lines

CAT coordinate geometry practice questions

Question 1Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

If the abscissa of the point of intersection of the lines 4x + 5y = 20 and y = mx + 3 is an integer, then the number of positive integral values for m are:

Question 2Multiple choiceEASY

Select the correct alternative from the given choices

Find the number of points with integer coordinates that are at a distance of less than 5 units from the point (1, 2) on the x-y
plane.

Practise Free Tests on InsideIIM

Common mistakes

Dividing by zero when finding the slope of a vertical line.
Reversing the ratio in a section formula.

Practical solving approaches

Plot a rough sketch and label the coordinates.
Choose equations that reflect the required relationship and handle vertical lines separately.

Coordinate geometry FAQs

Does every line have a numerical slope?: No. A vertical line has undefined slope and is written as x equal to a constant.

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CAT Coordinate geometry Questions

Key concepts

CAT coordinate geometry practice questions

Common mistakes

Practical solving approaches

Coordinate geometry FAQs

CAT Coordinate geometry Questions

Key concepts

CAT coordinate geometry practice questions

Common mistakes

Practical solving approaches

Coordinate geometry FAQs

More Geometry practice

CAT Coordinate geometry Questions

Key concepts

CAT coordinate geometry practice questions

Common mistakes

Practical solving approaches

Coordinate geometry FAQs

CAT Coordinate geometry Questions

Key concepts

CAT coordinate geometry practice questions

Common mistakes

Practical solving approaches

Coordinate geometry FAQs

More Geometry practice