Locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is the line y=-5 and the line
Locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is the line y=-5 and the line
The correct option is B y=-7
The line y=−6 is parallel to the x-axis.
We know that the locus of a point which is at a given distance from a given line, is a pair of lines parallel to the given line and at a given distance from it.
Thus, the locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is a pair of lines parallel to y=−6, at a distance of 1 unit from it.
Take points P and Q on y-axis, which are at a distance of 1 unit from the point where the line y=−6 touches the y-axis, i.e. A.
Draw lines m and n from P and Q, parallel to the line y=−6.
Thus the locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit are the lines y=−5 and y=−7.
The line y=−6 is parallel to the x-axis.
We know that the locus of a point which is at a given distance from a given line, is a pair of lines parallel to the given line and at a given distance from it.
Thus, the locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is a pair of lines parallel to y=−6, at a distance of 1 unit from it.
Take points P and Q on y-axis, which are at a distance of 1 unit from the point where the line y=−6 touches the y-axis, i.e. A.
Draw lines m and n from P and Q, parallel to the line y=−6.
Thus the locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit are the lines y=−5 and y=−7.
