The reflection of the point -9-6- on the line Y- 5 is -4-9-9-4-2-6-3-6-

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Standard X

Mathematics

Image of a Point with Respect to Y = a

The reflectio...

Question

The reflection of the point (9,6) on the line Y= 5 is

(2,6)

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(9,4)

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(3,6)

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(4,9)

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The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).

(i) State the name of the mirror line and write its equation.

(ii) State the co-ordinates of the image of (-8, -5) in the mirror line.

The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6).

(a) Name the line of reflection.

(b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).

The inclination of the straight line passing through the point $(- 3, 6)$ and the mid-point of the line joining the point $(4, - 5)$ and $(- 2, 9)$ is

Q. Points (2, 4), (−1, −2) and (3, 6) lie on a line. Write the equation of that line.

Q. Line joining the points

(3, - 4)

and

(- 2, 6)

is perpendicular to the line joining the points

(- 3, 6)

and

(9, - 18)

. State whether the statement is true or false. Justify.

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