Plane solutions NIOS mathematics senior secondary check your progress 35.1 (maths class 12)

NIOS mathematics 311 book 2 senior secondary Module IX chapter 35 check your progress 35.1 solutions are given.

You should study the textbook lesson plane very well.

You should observe and practice all example problems and solutions given in the textbook.

Observe the solutions and try them in your own method.

Plane

Check your progress 35.3

Check your progress 35.4

Terminal Exercise chapter 35

Plane solutions NIOS maths 311 book 2 chapter 35

NIOS Maths class 12

Plane

Check your progress 35.1

Reduce each of the following equations of the plane to the normal form ; i. 4x + 12 – 6z – 28 = 0

ii. 3y + 4z + 3 = 0

2. The foot of the perpendicular drawn from the origin to a plane is the point (1,-3, 1). Find the equation of the plane.

3. The foot of the perpendicular drawn from the origin to a plane is the point (1, -2, 1). Find the equation of the plane.

4. Find the equation of the plane passing through the points a. (2, 2, -1), (3, 4, 2) and (7, 0, 6).

b. (2, 3, -3), (1, 1, -2) and (-4, 1, 4)

c. (2, 2, 2), (3, 1, 1) and (6, -4, -6)

5. Show that the equation of the plane passing through the points (3, 3, 1), (-3, 2, -1) and (8, 6, 3) is 4x + 2y – 13z = 5

6. Find the equation of the plane whose intercepts on the coordinate axes are 2, 3 and 4 respectively.

7. Find the intercepts made by the plane 2x + 3y + 4z = 24 on the coordinate axes.

Note ; Observe the solutions and try them in your own method.