Coordinate geometry of 2 dimensions

1. If the three vertices of a rectangle taken in order are the points
(2, -2), (8, 4) and (5, 7), the coordinates of the fourth vertex are
a. (1, 1)
b. (1, -1)
c. (-1, 1)
d. None of these

Answer-c. (-1, 1)

2. If the vertices of a triangle have integral coordinates, then the triangle is
a. Equilateral
b. Never equilateral
c. Always isoceles
d. None of these

Solution- An irrational number can't be equal to a rational number.
Hence a triangle with coordinates of the vertices as integers can't be
an equilateral triangle.

Answer- b. Never equilateral

Stress management tips for exams

Here are some tips which helps you to face competitive exams better.
1. Be at the exam hall 30 minutes before the commencement of exam.
2. Eat healthy food before the exam.
3. If the exam center is too long, reach the place a day before.
4. Dont discuss with anyone about the exam paper at the exam center.
5. Dont get distracted by others.
6. Dont get tensed if the paper is difficult. Close your eyes and take
deep breath.

By following the above simple things, you can do well.

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