WBJEE 2025 Coordinate Geometry Practice Questions with Solutions

WBJEE 2025 Coordinate Geometry Practice Questions: 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 solve as many questions as possible on Coordinate Geometry. 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. 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 geometric figures. In the following table, we have listed down all the sub-topics included in the WBJEE Coordinate Geometry syllabus 2025.

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 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.

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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