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Top 30 IPMAT Geometry Questions PDF with Video Solutions

Nehal Sharma

20

Apr 24, 2026

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Top 30 IPMAT Geometry Questions PDF with Video Solutions

Top 30 IPMAT Geometry Questions

IPMAT Geometry is an important part of the Quant section. It can help you score well if your basic concepts are clear. The Top 30 IPMAT Geometry Questions are selected based on previous exam patterns and expected difficulty level. These questions help you understand concepts, improve speed, and solve Geometry questions in a smart way during the exam.

These questions cover important Geometry topics like lines, angles, triangles, circles, quadrilaterals, polygons, coordinate geometry, and mensuration. They are useful for improving accuracy and building confidence for IPMAT-level questions. The main focus is on clear concepts, simple methods, and smart tricks that can save time in the  IPMAT exam.

Download IPMAT Geometry Questions PDF

If you want an easy and helpful resource for revision, the IPMAT Geometry Questions PDF is a good choice. It contains 30 selected Geometry questions based on the IPMAT level. It also includes step-by-step solutions, shortcut methods, and easy solving techniques. The questions are arranged topic-wise, so revision becomes simple and well-organized.

IPMAT Geometry Questions with Video Solutions

Understanding the method behind each Geometry question is very important. That is why video solutions are helpful. They explain concepts in simple language, solve questions step by step, and show quick methods to save time.

Video solutions also help you understand diagrams, spot common mistakes, and avoid them in the exam. By practicing questions and watching detailed explanations, you can improve your speed, accuracy, and confidence. To score better in IPMAT, practicing Geometry questions with video solutions is a smart idea

Top 30 IPMAT Geometry Questions

IPMAT Geometry is an important part of the Quant section. It can help you score well if your basic concepts are clear. The Top 30 IPMAT Geometry Questions are selected based on previous exam patterns and expected difficulty level. These questions help you understand concepts, improve speed, and solve Geometry questions in a smart way during the exam.

These questions cover important Geometry topics like lines, angles, triangles, circles, quadrilaterals, polygons, coordinate geometry, and mensuration. They are useful for improving accuracy and building confidence for IPMAT-level questions. The main focus is on clear concepts, simple methods, and smart tricks that can save time in the exam.

Download IPMAT Geometry Questions PDF

If you want an easy and helpful resource for revision, the IPMAT Geometry Questions PDF is a good choice. It contains 30 selected Geometry questions based on the IPMAT level. It also includes step-by-step solutions, shortcut methods, and easy solving techniques. The questions are arranged topic-wise, so revision becomes simple and well-organized.

IPMAT Geometry Questions with Video Solutions

Understanding the method behind each Geometry question is very important. That is why video solutions are helpful. They explain concepts in simple language, solve questions step by step, and show quick methods to save time.

Video solutions also help you understand diagrams, spot common mistakes, and avoid them in the exam. By practicing questions and watching detailed explanations, you can improve your speed, accuracy, and confidence. To score better in IPMAT, practicing Geometry questions with video solutions is a smart idea

Question 1

The shortest distance from the point (-4, 3) to the circle $$x^{2} + y^{2} = 1$$ is

Show Answer Explanation

Question 2

The $$x^{2} + y^{2}- 6x - 10y + k = 0$$ does not touch or intersect the coordinate axes. If the point (1, 4) does not lie outside the circle, and the range of k is (a, b] then a + b is

Show Answer Explanation

Question 3

Let A(1, 3) and B(5, 1) be two points. If a line with slope m intersects AB at an angle of $$45^\circ$$, then the possible values of m are


Question 4

The equation $$x^{2} + y^{2} − 2x − 4y + 5 = 0$$ represents


Question 5

The curve represented by the equation

$$\frac{x^{2}}{\sin \sqrt{2} - \sin \sqrt{3}} + \frac{y^{2}}{\cos \sqrt{2} - \cos \sqrt{3}} = 1$$


Question 6

There are 5 parallel lines on the plane. On the same plane, there are n other lines which are perpendicular to the 5 parallel lines. If the number of distinct rectangles formed by these lines is 360, what is the value of n?


Question 7

The area enclosed by the curve 2|x| + 3|y| = 6 is

Show Answer Explanation

Question 8

The equation of the straight line passing through the point M (-5,4), such that the portion of it between the axes is divided by the point M into two halves, is

Show Answer Explanation

Question 9

The number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 31), and (31, 0) is

Show Answer Explanation

Question 10

The x-intercept of the line that passes through the intersection of the lines x + 2y = 4 and 2x + 3y = 6, and is perpendicular to the line 3x — y = 2 is


Question 11

Which of the following straight lines are both tangent to the circle $$x^{2} + y^{2} − 6x + 4y − 12 = 0$$


Question 12

The area of the triangle, formed by the straight lines y = 0, 12x - 5y = 0, and $$3x + 4y = 7$$ is


Question 13

There are 10 points in the plane, of which 5 points are collinear and no three among the remaining are collinear. Then the number of distinct straight lines that can be formed out of these 10 points is


Question 14

If one of the lines given by the equation $$2x^{2} + axy + 3y^{2} = 0$$ coincides with one of those given by $$2x^{2} + bxy — 3𝑦^{2} = 0$$, and the other lines represented by them are perpendicular then $$a^{2} + b^{2}$$ is .


Question 15

Two points on a ground are 1 m apart. If a cow moves in the field in such a way that it's distance from the two points is always in ratio 3: 2 then

Show Answer Explanation

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