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What is the formula for image of a point?

Posted on December 18, 2022 by Author

Table of Contents

  • 1 What is the formula for image of a point?
  • 2 How do you find the image of a plane?
  • 3 How do you find the image of a line with respect to a given plane?
  • 4 What is mirror image in coordinate geometry?
  • 5 What is the image of point 4 5 by taking Y axis as mirror?
  • 6 What is the image of the point 1 3 4 in plane 2x YZ 3 0?
  • 7 What is the mirror image of 2 3?

What is the formula for image of a point?

If Q(h,k) is the image of P(x1​,y1​) with respect to the line ax+by+c=0 then ah−k1​​=bk−y1​​=a2+b2−2(ax1​+by1​+c)​

How do you find the image of a plane?

Steps to Find Image Of Point In A Plane There exists a perpendicular line PQ to the plane π. The midpoint of PQ is on the plane π. Then, the image of the point is either of the points to one another in the plane π.

What is image of the point?

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Reflection – of a point The given point P is “reflected” in the mirror and appears on the other side of the line an equal distance it. The reflection of the point P over the line is by convention named P’ (pronounced “P prime”) and is called the “image” of point P.

How do you find the image of a line with respect to a given plane?

Focus this :

  1. The reflection of a line must be a line.
  2. A line can be defined by any two points on it.
  3. If we can find the reflection of one point, the same method can be.
  4. The line joining a point and its image (reflection) will be normal.
  5. To find the normal to a plane we can take the cross product of any.

What is mirror image in coordinate geometry?

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.

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Is a solution of 2x 3y 12?

Answer: The two solutions of the equation is (0,-4)(6,0).

What is the image of point 4 5 by taking Y axis as mirror?

Explanation: The mirror image of the point A(4,5) on the y-axis is A'(-4,5).

What is the image of the point 1 3 4 in plane 2x YZ 3 0?

The image of the point (1, 3, 4) with respect to the plane 2x – y + z + 3 = 0 is. A general point on this line is (2k + 1, -k + 3, k + 4). ∴ Coordinates of N are (-2 + 1, 1 + 4, -1 + 4, -1 + 4), i.e., N (-1, 4, 3). Let Q (α, β, γ) be the image of P in the given plane.

What is the mirror image of 2/3 in Y axis?

The mirror image of (2,3) along the y-axis will be (-2,3).

What is the mirror image of 2 3?

R D Sharma – Mathematics 9 The mirror image of (2,3) along the y-axis will be (-2,3).

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