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Standard VI

Mathematics

Collinear Points

If L1 = 0 a...

Question

If $L_{1} = 0$ and $L_{2} = 0$ be two intersecting straight lines, the number of points, whose distance from L $_{1}$ is 2 units and from L $_{2}$ is 5 units is

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infinite

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Solution

The correct option is C 4

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Similar questions

Q. The straight line

L = x + y + 1 = 0

and

L_{1} x + 2 y + 3 = 0

are intersecting.

m

is the slope of the straight line

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such that

L

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and

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812 m^{2} + 3

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Q. Assertion :

L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2}

L_{2} : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}

The distance of the point

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and whose normal is perpendicular to both the lines

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and

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\frac{13}{5 \sqrt{3}}

. Reason: The unit vector perpendicular to both the lines

L_{1}

and

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\frac{- \to i - 7 \to j + 5 \to k}{5 \sqrt{3}}

Q. If the foot of the perpendicular from point

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L_{1} : \frac{x - a}{l} = \frac{y - 2}{3} = \frac{z - b}{4},

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and line

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is equal to :

A line l passing through the origin is perpendicular to the lines
$l_{1} : (3 + t)^i + (- 1 + 2 t)^j + (4 + 2 t)^k, - \infty < t < \infty l_{2} : (3 + 2 s)^i + (3 + 2 s)^j + (2 + s)^k, - \infty < s < \infty$
Then, the coordinate(s) of the point(s) on $l_{2}$ at a distance of $\sqrt{17}$ from the point of intersection of l and $l_{1}$ is (are)