WBJEE 2025 Coordinate Geometry Practice Questions with Solutions

Prateek Lakhera

Updated On: January 16, 2025 11:16 AM | WBJEE

WBJEE 2025 Coordinate Geometry practice questions with solutions are highly recommended if you want score 80+ marks in the Mathematics section. By regularly practising with WBJEE Coordinate Geometry sample questions, you can expect to 15-17 questions from this chapter. 
WBJEE 2025 Coordinate Geometry Practice Questions with Solutions

WBJEE 2025 Coordinate Geometry Practice Questions: Coordinate Geometry is one of the high-weightage chapters in the Mathematics (Paper I) section of the WBJEE 2025 exam . Every year, 10-15 questions are asked from this topic. The chapter covers some of the most important mathematical concepts, including the study of Geometric Figures like Hyperbola, Straight Lines, Circles etc., Plotting of Coordinate Axes, and so on. WBJEE 2025 Coordinate Geometry practice questions shared on this page comprise the most commonly asked and probable questions from these topics. As the chapter may seem challenging to many, we strongly recommend you to solve as many questions as possible on Coordinate Geometry. The more questions you attempt, the better you will be able to comprehend the type of questions asked, the difficulty level of the various topics and sub-topics, the marks weightage etc. Once you are done studying the topics from the WBJEE 2025 Mathematics syllabus PDF , start attempting WBJEE 2025 Coordinate Geometry practice questions with solutions to assess your overall exam preparation and improve on the weaker sections.

Also Check - WBJEE 2025 Mathematics Topic Wise Weightage & Important Topics

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List of WBJEE 2025 Coordinate Geometry Sub Topics for Exam Preparation

The Coordinate Geometry section includes various concepts such as Properties of Straight Lines, Circles, Hyperbolas, and Parabolas. The majority of the questions in the exam paper are based on the properties and relations between the geomteric figures. In the following table, we have listed down all the sub-topics included in the WBJEE Coordinate Geometry syllabus 2025.

Chapter

Sub Topics

Coordinate Geometry

Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane.

Polar coordinates, transformation from Cartesian to polar coordinates, and vice versa.

Parallel transformation of axes.

Concept of locus, locus problems involving all geometrical configurations,

The slope of a line

Equation of lines in different forms, the angle between two lines.

Condition of perpendicularity and parallelism of two lines.

Distance of a point from a line.

Distance between two parallel lines.

Lines through the point of intersection of two lines.

Angle bisector

Equation of a circle with a given center and radius

The condition that a general equation of second

degree in x, y may represent a circle

Equation of a circle in terms of endpoints of a diameter

Equation of tangent, normal, and chord.

Parametric equation of a circle.

The intersection of a line with a circle. Equation of common chord of two intersecting circles.

Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity

Equation of Parabola, Ellipse, and Hyperbola in standard form, their foci, directrices, eccentricities, and parametric equations.

Co-ordinate geometry of three dimensions

Also Check - 6-Month Preparation Strategy to Crack WBJEE 2025

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WBJEE 2025 Coordinate Geometry Expected Weightage

The following table includes the Coordinate Geometry expected marks weightage for the WBJEE exam 2025. Coordinate Geometry being one of the most important chapters in the WBJEE 2025 syllabus PDF covers a approximately 15-17 questions and 9% marks weightage in the Mathematics Paper I. Let’s have a look at the expected WBJEE Coordinate Geometry marks weightage 2025 below.

Topic

Expected Number of Questions

Expected Weightage

Coordinate Geometry

15-17

9%

WBJEE 2025 Coordinate Geometry Practice Questions with Solutions

To help enhance your WBJEE 2025 exam preparation, our experts have compiled a series of practice questions after analyzing the past years' Coordinate Geometry question pattern. You can treat these questions as sample questions while practising mock papers. The following are some of the WBJEE 2025 Coordinate Geometry practice questions with solutions:

Q1. One possible condition for the three points (a, b), (b, a) and (a2, -b2) to be collinear is

a. b-a = 2

b. a+b = 2

c. a = 1+b

d. a = 1-b

Ans. c. a = 1+b

Q2. The distance between the lines 5x - 12y + 65 = 0 and 5x - 12y - 39 = 0 is

a. 4

b. 16

c. 2

d. 8

Ans. d. 8

Solution:

Given equations are 5x - 12y + 65 = 0 and 5x - 12y - 39 = 0

Perpendicular distance = [65 + 39]/√(52+122)

= 104/√169 = 8

Q3. The coordinates of the foot of the perpendicular from (a, 0) on the line y = mx + a/m are

a. (0,a/m)

b. (0, -a/m)

c. (a/m,0)

d. (-a/m,0)

Ans. a. (0,a/m)

Q4. If C is a point on the line segment joining A(-3, 4) and B(2, 1) such that AC = 2BC, then the coordinate of C is

a. (1/3, 2)

b. (2, 1/3)

c. (2,7)

d. (7,2)

Ans. a. (1/3, 2)

Q5. If 2a - 5b - 3c = 0, show that the straight line ax + by + c = 0 always passes through a fixed point. Find the equation of one straight line passing through this fixed point and parallel to the line 9x + 12y = 20.

a. 0

b. 1

c. -1

d. -2

Ans. a. 0

Q6. The equation of the circle which passes through the points of intersection of the circles x 2 + y 2 - 6x = 0 and x 2 + y 2 - 6y = 0, and has its center at (3/2, 3/2) is

a. x2 + y2 + 3x + 3y + 9 = 0

b. x2 + y2 + 3x + 3y = 0

c. x2 + y2 - 3x -3y = 0

d. x2 + y2 -3x -3y + 9 = 0

Ans. c. x2 + y2 - 3x -3y = 0

Q7. The equation (x-x 1 )(x-x 2 ) + (y-y 1 )(y-y 2 ) = 0 represents a circle whose centre is

a. (x 1 -x 2 /2, y 1 -y 2 /2)

b. (x 1 +x 2 /2, y 1 +y 2 /2)

c. (x 1 ,y 1 )

d. (x 2 ,y 2 )

Ans. b. (x 1 +x 2 /2, y 1 +y 2 /2)

Q8. The circles x 2 + y 2 + 6x + 6y = 0 and x 2 + y 2 - 12x - 12y = 0

a. Cut orthogonally

b. Touch each other internally

c. Intersect in two points

d. Touch each other externally

Ans.  d. Touch each other externally

Q9. The locus of the centers of the circles that touch both axes is given by

a. x 2 -y 2 = 0

b. x 2 +y 2 = 0

c. x 2 -y 2 = 1

d. x 2 +y 2 = 1

Ans. a. x 2 -y 2 = 0

Q10. The two parabolas x 2 = 4y and y 2 = 4x meet in two distinct points. One of these is the origin and the other is

a. (2,2)

b. (4,-4)

c. (4,4)

d. (-2,2)

Ans. c. (4,4)

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Along with WBJEE 2025 Coordinate Geometry practice questions with solutions, you should also allot time to solve WBJEE 2025 mock test on a daily basis, especially during the final stage of your exam preparation. Set a timer while attempting the WBJEE Coordinate Geometry sample questions to improve your speed and accuracy.

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FAQs

How to prepare Coordinate Geometry for WBJEE 2025?

Preparing for the Coordinate Geometry by solving as many practice questions as possible is recommended.
 

How many marks are covered by the coordinate geometry in WBJEE 2025?

Around 15-17 marks can be expected from coordinate geometry in WBJEE 2025. 
 

Is Coordinate Geometry important for WBJEE 2025?

Yes, Coordinate Geometry is very important for WBJEE 2025 have a weightage of around 9%. 
 

How many WBJEE practice questions should I solve for coordinate geometry?

All kinds of WBJEE practice questions should be practiced to prepare for the Coordinate Geometry section. 
 

Where to find the WBJEE coordinate geometry practice questions?

Coordinate Geometry practice questions for WBJEE 2025 are available online, check the article above to get practice questions.
 

How many coordinate geometry questions are asked in WBJEE 2025?

15-17 questions can be expected from the coordinate geometry chapter in WBJEE 2025. 
 

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