Exercise 28D Archives - Noon Academy

Home » CBSE » Class 11 » RS Aggarwal » Maths » The Planes » Exercise 28D

Exercise 28D

5. Find the equation of the plane passing through the point (1, 4, -2) and parallel to the plane 2x – y + 3z + 7 = 0.

CBSE, Class 12, Exercise 28D, Maths, RS Aggarwal, The Planes

Answer: Any plane parallel to 2x – y + 3z + 7 = 0 is shown as 2x – y + 3z + d = 0. It passes through the point (1, 4, -2) $\begin{array}{l} 2 \times 1 - 4 + 3( - 2) + d = 0\\ 2 - 4 - 6 + d = 0\\ d =...

Find the vector equation of the plane passing through the point (1, 1, 1) and parallel to the plane $\overrightarrow r .(2\widehat i - \widehat j + 2\widehat k) = 5$ .

CBSE, Class 12, Exercise 28D, Maths, RS Aggarwal, The Planes

Answer:

Find the vector equation of the plane passing through the point (a, b, c) and parallel to the plane $\overrightarrow r .(\widehat i + \widehat j + \widehat k) = 2$ .

CBSE, Class 12, Exercise 28D, Maths, RS Aggarwal, The Planes

Answer:

Find the vector equation of the plane through the points $(3\widehat i + 4\widehat j - \widehat k)$ and parallel to the plane $\overrightarrow r .(2\widehat i - 3\widehat j + 5\widehat k) + 5 = 0$ .

CBSE, Class 12, Exercise 28D, Maths, RS Aggarwal, The Planes

Answer:

Show that the planes 2x – y + 6z = 5 and 5x – 2.5y + 15z = 12 are parallel.

CBSE, Class 12, Exercise 28D, Maths, RS Aggarwal, The Planes

Answer:

Find the equation of the plane passing through each group of points: (i) A (2, 2, -1), B (3, 4, 2) and C (7, 0, 6) (ii) A (0, -1, -1), B (4, 5, 1) and C (3, 9, 4)

CBSE, Class 12, Exercise 28A, Exercise 28B, Exercise 28C, Exercise 28D, Exercise 28E, Exercise 28F, Exercise 28G, Exercise 28H, Maths, RS Aggarwal, The Planes

Answer: (i) Given, A (2, 2, -1) B (3, 4, 2) C (7, 0, 6) ...

5. Find the equation of the plane passing through the point (1, 4, -2) and parallel to the plane 2x – y + 3z + 7 = 0.

Find the vector equation of the plane passing through the point (1, 1, 1) and parallel to the plane $\overrightarrow r .(2\widehat i - \widehat j + 2\widehat k) = 5$ .

Find the vector equation of the plane passing through the point (a, b, c) and parallel to the plane $\overrightarrow r .(\widehat i + \widehat j + \widehat k) = 2$ .

Find the vector equation of the plane through the points $(3\widehat i + 4\widehat j - \widehat k)$ and parallel to the plane $\overrightarrow r .(2\widehat i - 3\widehat j + 5\widehat k) + 5 = 0$ .

Show that the planes 2x – y + 6z = 5 and 5x – 2.5y + 15z = 12 are parallel.

Find the equation of the plane passing through each group of points: (i) A (2, 2, -1), B (3, 4, 2) and C (7, 0, 6) (ii) A (0, -1, -1), B (4, 5, 1) and C (3, 9, 4)

Sign up now and study all subjects for free

Class

Syllabus

Question Papers

Social Media

Apps

5. Find the equation of the plane passing through the point (1, 4, -2) and parallel to the plane 2x – y + 3z + 7 = 0.

Find the vector equation of the plane passing through the point (1, 1, 1) and parallel to the plane .

Find the vector equation of the plane passing through the point (a, b, c) and parallel to the plane .

Find the vector equation of the plane through the points and parallel to the plane .

Show that the planes 2x – y + 6z = 5 and 5x – 2.5y + 15z = 12 are parallel.

Find the equation of the plane passing through each group of points: (i) A (2, 2, -1), B (3, 4, 2) and C (7, 0, 6) (ii) A (0, -1, -1), B (4, 5, 1) and C (3, 9, 4)

Find the vector equation of the plane passing through the point (1, 1, 1) and parallel to the plane $\overrightarrow r .(2\widehat i - \widehat j + 2\widehat k) = 5$ .

Find the vector equation of the plane passing through the point (a, b, c) and parallel to the plane $\overrightarrow r .(\widehat i + \widehat j + \widehat k) = 2$ .

Find the vector equation of the plane through the points $(3\widehat i + 4\widehat j - \widehat k)$ and parallel to the plane $\overrightarrow r .(2\widehat i - 3\widehat j + 5\widehat k) + 5 = 0$ .