**MATHEMATICS : (Three Dimension) 3D Geometry Practice Problems on JEE Advanced Pattern (2018-2019)**

3D Geometry (Subtopic)(1) Distance between two points (2) Section formula (3) Translation of axes and collinear points (4) Centroid of triangle and tetrahedron (5) Locus of a point (6) Direction cosines and direction ratios (7) Angle between two lines and angle bisector (8) Equation of a line in different forms (9) Distance of a line from a point, and from another line (10) Projection and reflection of a point on a line (11) Equation of a plane in different forms (12) Angle between two planes (13) Angle between a line and a plane (14) Plane passing through line of intersection of two planes (15) Distance of a plane from a point, and from another plane (16) Projection and reflection of a point on a plane (17) Equation of a sphere

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01. Question Paper of 3D Geometry Paper 01 (Download here)

02. Question Paper of (Three Dimension) 3D Geometry Paper 01 (Download here)

Solution of (Three Dimension) 3D Geometry Paper 01 (Download here)

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BRAHMASTRAfor your preparation of your board exams, because these given Question Papers will be helpful for getting full marks in cbse board examination.Past 10 year Q. Paper of 2006, 7, 8….. 16 and also available in the attached sheet for students and teachers. Last years Q. paper for C.B.S.E.. board XIIth science, Mathematics, Physics, Chemistry, English and Computer Science are a smart way to revise for board exams. Specially are helpful for those appearing for CB.S.E exam as they familiarize students with the patterns of the Solved Q.paper and the method of marking.

**How to write in a straight line without lined paper?**

I can not write in a straight line unless. I have lined papers to help guide me along the pages. However some-times the task calls for plain-paper where no such lines are in place *(i.e. a poster or some such)*.

I usually write with a ball point pen. However, in the case of a poster, I use felt tip pen which is more susceptible to smudging if rubbed too much / too soon!

*How can I make sure that I am writing in a straight line without using lined paper?*

*How can I make sure that I am writing in a straight line without using lined paper?*

I have tried placing a ruler along the page but this messes up my handwriting and it looks a bit weird so I would rather try a new method.

**There a several options to create an invisible line to help you write:**

- Draw thin lines with a pencil and erase them afterwards. If you work with a soft pencil and without much force, the lines are easily erasable and you won`t mark the sheet.
- If you are working on a poster, you could also provide a line with the help of a beamer/over head projector or some fancy laser liner. It should work best if you are left handed, since you otherwise cover the line with your arm/hand.
- Also, you can work at the edge of a table or by placing a ruler under the paper. You will notice directly if you are not on the line. But it will be not beneficial for your style.