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Direction Cosines of a Line Passing through Two Points

Find the poin...

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Find the points on the line 3x-4y-1=0 which are at a distance of 5 units from point (3,2)?

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The coordinates of a point at unit distance from the lines 3x - 4y + 1 = 0 and 3x + 6y + 1 = 0 are

P (a, b)

Q (c, d)

be the two points on the line

3 x - 4 y = 1

which are at a distance of

5 units

(3, 2)

a > 0, b > 0, c < 0, d < 0

. Then which of the following is/are true

Q. A line a drawn through A (4, −1) parallel to the line 3x − 4y + 1 = 0. Find the coordinates of the two points on this line which are at a distance of 5 units from A.

Q. The coordinates of a point on the line

x + y + 1 = 0

which is at a distance

\frac{1}{5}

unit from the line

3 x + 4 y + 2 = 0

Q. For a fixed value of

θ

n_{1}

denotes the number of points on the line

3 x + 4 y = 5

which are at a distance of

1 + {sin}^{2} θ

(2, 3)

n_{2}

denotes the number of points on

3 x + 4 y = 5

which are at a distance of

{sec}^{2} θ + 2 {cosec}^{2} θ

(1, 3)

, then the value of

n_{1} + n_{2}

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Direction Cosines of a Line Passing through Two Points

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