(a) \[A''\text{ }=\text{ }Image\text{ }of\text{ }A\text{ }under\text{ }appearance\]in the y-hub = (- 3, 4) (b) \[B''\text{ }=\text{ }Image\text{ }of\text{ }B\text{ }under\text{ }appearance\]in the...
(a) \[A'\text{ }=\text{ }Image\text{ }of\text{ }A\text{ }under\text{ }appearance\] in the \[x-hub\text{ }=\text{ }\left( 3,\text{ }-\text{ }4 \right)\] (b) \[B'\text{ }=\text{ }Image\text{ }of\text{...
A point \[P\text{ }\left( a,\text{ }b \right)\] is reflected in the \[x-hub\] to \[P'\text{ }\left( 2,\text{ }-\text{ }3 \right).\] We realize that, \[{{M}_{x}}~\left( x,\text{ }y \right)\text{...
The line \[x\text{ }=\text{ }2\]is a line corresponding to \[y-hub\]and a ways off of \[2\text{ }units\]from it. We should check the point \[P\text{ }\left( -\text{ }2,\text{ }3 \right).\] From...
The line \[y\text{ }=\text{ }3\] is a line corresponding to \[x-hub\]and a good ways off of \[3\] \[units\]from it. We should stamp the focuses \[P\text{ }\left( 4,\text{ }1 \right)\]and \[Q\text{...
(I) We realize that, impression of a point \[\left( x,\text{ }y \right)\]in \[y-hub\] is \[\left( -\text{ }x,\text{ }y \right).\] Thus, the point \[\left( -\text{ }2,\text{ }0 \right)\] when...
Single change that maps \[P\text{ }to\text{ }P\]is the appearance in beginning.
(I) As, \[{{M}_{x}}~\left( x,\text{ }y \right)\text{ }=\text{ }\left( x,\text{ }-y \right)\] \[P\text{ }\left( 5,\text{ }-2 \right)\text{ }=\text{ }reflection\text{ }of\text{ }P\text{ }\left(...
(i) \[P\text{ }=\text{ }Image\text{ }of\text{ }P\text{ }\left( 3,\text{ }4 \right)\text{ }in\text{ }{{L}_{2}}~=\text{ }\left( -3,\text{ }4 \right)\] Also, \[Q\text{ }=\text{ }Image\text{ }of\text{...
(I) We realize that, each point in a line is invariant under the appearance in a similar line. As the focuses \[\left( 3,\text{ }0 \right)\]and \[\left( -\text{ }1,\text{ }0 \right)\]lie on the...
(i) \[A\text{ }=\text{ }\left( -3,\text{ }-2 \right)\] (iv) Single change that maps \[A'\text{ }to\text{ }A''\]is the appearance in y-hub.
According to the given question the solution is (I) The geometrical name From the diagram, it's obviously seen that \[ABBA\]is an isosceles trapezium. (ii) The measure of angle The proportion of...
Solution: According to the question given the graph of first and second question is
(I) As, \[{{M}_{O}}~\left( 2,\text{ }-7 \right)\text{ }=\text{ }\left( -2,\text{ }7 \right)\] Thus, the co-ordinates of \[P\]are \[\left( 2,\text{ }-7 \right).\] (ii) Co-ordinates of the...
(I) As, \[{{M}_{x}}~\left( -4,\text{ }-5 \right)\text{ }=\text{ }\left( -4,\text{ }5 \right)\] Thus, the co-ordinates of \[P\]are \[\left( -4,\text{ }-5 \right).\] (ii) Co-ordinates of the...
\[\left( -\text{ }1,\text{ }-\text{ }3 \right)\] The co-ordinate of the given point under appearance in the line \[y\text{ }=\text{ }0\] is \[\left( -\text{ }1,\text{ }3 \right).\]
(I) \[\left( -\text{ }3,\text{ }0 \right)\] The co-ordinate of the given point under appearance in the line \[y\text{ }=\text{ }0\] is \[~\left( -\text{ }3,\text{ }0 \right).\] (ii) \[\left(...
\[\left( 3,\text{ }-\text{ }4 \right)\] The co-ordinates of the given point under appearance in the line \[x\text{ }=\text{ }0\]are \[\left( -\text{ }3,\text{ }-\text{ }4 \right).\]
(I) \[\left( -\text{ }6,\text{ }4 \right)\] The co-ordinates of the given point under appearance in the line \[x\text{ }=\text{ }0\]are \[\left( 6,\text{ }4 \right).\] (ii) \[\left( 0,\text{ }5...
\[\left( 0,\text{ }0 \right)\] The co-ordinates of the given point under appearance in beginning are \[\left( 0,\text{ }0 \right).\]
(I) \[\left( -\text{ }2,\text{ }-\text{ }4 \right)\] The co-ordinates of the given point under appearance in beginning are \[\left( 2,\text{ }4 \right).\] (ii) \[\left( -\text{ }2,\text{ }7...
\[\left( -\text{ }8,\text{ }-\text{ }2 \right)\] The co-ordinates of the given point under appearance in the y-pivot are \[\left( 8,\text{ }-\text{ }2 \right).\]
(I) \[\left( 6,\text{ }-\text{ }3 \right)\] The co-ordinates of the given point under appearance in the y-pivot are \[\left( -\text{ }6,\text{ }-\text{ }3 \right).\] (ii) \[\left( -\text{ }1,\text{...
\[\left( 0,\text{ }0 \right)\] The co-ordinates of the given point under appearance in the x-hub are \[\left( 0,\text{ }0 \right).\]
(I) \[\left( 3,\text{ }2 \right)\] The co-ordinates of the given point under appearance in the x-hub are \[\left( 3,\text{ }-2 \right).\] (ii) \[\left( -\text{ }5,\text{ }4 \right)\] The...
As, the picture of the point P is a similar point under the appearance in the line l we can say, point P is an invariant point. Subsequently, the situation of point P stays unaltered.
Answer: As per question,