# UPSEE: Important Questions and Preparation Tips – Three Dimensional Geometry

To crack state level engineering entrance examination like UPSEE is always easy than cracking national level engineering entrance examination like Joint Entrance Examination. If aspirants focus only on the chapter notes just before few days of the examination instead of revising complete books surely they can score very good marks.

Mathematics is one of the scoring subjects which can definitely help students to score good marks in any engineering exams if any only if they prepare well for it. Aspirants should revise all important concepts and formulae before appearing for the examination.

To help UPSEE aspirants, Subject Experts at Jagranjosh come up with the chapter notes of chapter **Three Dimensional Geometry** including important concepts, formulae and some solved questions to make aspirants understand this chapter very well.

These chapter notes contain all important topics like **direction cosines, direction ratio, relation between the direction cosines, relation between direction cosines and direction ratio, vector equation of a line, Cartesian equation of a line passing through two points, distance between two parallel lines, equation of a plane, condition for coplanar planes, distance of a point from a plane** etc.

UPSEE aspirants can easily predict the difficulty level of the coming entrance examination with the help of the solved questions given in these notes.

**UPSEE/UPTU Mathematics Syllabus: 2017 - 2018**

**Important Concepts:**

**UPSEE: Important Questions and Preparation Tips – Differential Equations**

**UPSEE: Important Questions and Preparation Tips – Straight Lines**

**Some solved questions are given below:**

**Question 1:**

**Solution 1:**

Hence, the correct option is (A).

**UPSEE: Important Questions and Preparation Tips – Limits**

**Question 2:**

**Solution 2:**

Hence, the correct option is (C).

**UPSEE: Important Questions and Preparation Tips – Area under Curve**

**Question 3:**

**Solution 3:**

Hence, the correct option is (b).

**UPSEE: Important Questions and Preparation Tips – Application of Derivatives**

**Question 4:**

**Solution 1:**

Hence, the correct option is (B).

**UPSEE: Important Questions and Preparation Tips – Circles**

**UPSEE/UPTU 2018 exam dates revised, check here dates, eligibility and how to apply**