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Coordinate Geometry — Mathematics Questions & Practice

Practise 40 Coordinate Geometry questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Coordinate Geometry — with answers

Try each question first, then open the answer. Explanations are included.

1. Find the distance between points (3,4) and (0,0).

A4
B4.5
C5
D5.5

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Answer: C

Distance=√(3²+4²)=√(9+16)=√25=5.

2. Find the distance between points (2,3) and (5,7).

A4
B4.5
C5
D5.5

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Answer: C

Distance=√[(5-2)²+(7-3)²]=√(9+16)=√25=5.

3. Find the slope of the line passing through points (1,2) and (3,6).

A1
B1.5
C2
D2.5

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Answer: C

Slope=(6-2)/(3-1)=4/2=2.

4. Find the area of a triangle with vertices at (0,0), (4,0) and (0,3).

A5
B5.5
C6
D6.5

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Answer: C

Area=(1/2)×base×height=(1/2)×4×3=6.

5. What is the slope of a line perpendicular to a line with slope 2?

A2
B-2
C1/2
D-1/2

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Answer: D

The slope of a line perpendicular to a line with slope m is -1/m. So -1/2.

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Coordinate Geometry — Mathematics Questions & Practice

Practice questions on Coordinate Geometry — with answers

1. Find the distance between points (3,4) and (0,0).

2. Find the distance between points (2,3) and (5,7).

3. Find the slope of the line passing through points (1,2) and (3,6).

4. Find the area of a triangle with vertices at (0,0), (4,0) and (0,3).

5. What is the slope of a line perpendicular to a line with slope 2?

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