Find points on x - axis which are at a distance of units from point A (1, 2, 3). - Wired Faculty

Sequences And Series

Question

Find points on x - axis which are at a distance of $square root of 29$ units from point A (1, 2, 3).

Solution

Let the required point on x-axis be P (x, 0, 0)
It is at a distance of $square root of 29$ units from A (1, 2, 3)
$rightwards double arrow$ $open vertical bar PA close vertical bar space equals space square root of 29 space rightwards double arrow space square root of left parenthesis straight x minus 1 right parenthesis squared plus left parenthesis 0 minus 2 right parenthesis squared plus left parenthesis 0 minus 3 right parenthesis squared end root space equals space square root of 29$
$rightwards double arrow$ $straight x squared minus 2 straight x plus 14 space equals space 29 space rightwards double arrow space space space straight x squared minus 2 straight x minus 15 equals 0$
$rightwards double arrow$ $space space space left parenthesis straight x minus 5 right parenthesis space left parenthesis straight x plus 3 right parenthesis space equals space 0 space rightwards double arrow space straight x equals 5 comma space straight x equals negative 3$
Hence, the required points on x-axis are (5, 0, 0) or (-3, 0, 0).

Some More Questions From Sequences and Series Chapter

Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).

The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.

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Sequences And Series

Find points on x - axis which are at a distance of $square root of 29$ units from point A (1, 2, 3).

Some More Questions From Sequences and Series Chapter

Coordinate planes divide the space into _______ octants.

Let P (-2, 3, -4) is a point in space. Find the co-ordinates of the foot of perpendicular from this point to ZX-plane.

Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.

Let P (-2, 3, -4) is a point in space. Find the the perpendicular distance of P from XY-plane.

Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).

The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.

Find the octant in which the following points lie:
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).

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For Daily Free Study Material Join wiredfaculty

Sequences And Series

Find points on x - axis which are at a distance of units from point A (1, 2, 3).

Some More Questions From Sequences and Series Chapter

Coordinate planes divide the space into _______ octants.

Let P (-2, 3, -4) is a point in space. Find the co-ordinates of the foot of perpendicular from this point to ZX-plane.

Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.

Let P (-2, 3, -4) is a point in space. Find the the perpendicular distance of P from XY-plane.

Name the octants in which the following points lie:A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).

The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.

Find the octant in which the following points lie:A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find points on x - axis which are at a distance of $square root of 29$ units from point A (1, 2, 3).

Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).

Find the octant in which the following points lie:
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).