The point of intersection of lines x-4-5-y-1-2-z-1 and x-1-2-y-2-3-z-3-4 is -AISSE 1986- AMU 2005-

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The point of ...

Question

The point of intersection of lines $\frac{x - 4}{5} = \frac{y - 1}{2} = \frac{z}{1}$ and $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ is
[AISSE 1986; AMU 2005]

(-1, -1, -1)

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(-1, -1, 1)

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(1, -1, -1)

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(-1, 1, -1)

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Solution

The correct option is A
(-1, -1, -1)

Trick : Both lines are satisfied by (-1,-1, -1).

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Similar questions

Q. The point of intersection of lines

\frac{x - 4}{5} = \frac{y - 1}{2} = \frac{z}{1}

and

\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}

Q. The point of intersection of lines

\frac{x - 4}{5} = \frac{y - 1}{2} \frac{z}{1}

and

\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}

The distance of the point (-1, -5, -10) from the point of intersection of the line $\frac{x - 2}{3} = \frac{y + 1}{4} = \frac{z - 2}{12}$ and the plane x - y + z = 5, is
[AISSE 1985; DSSE 1984; MP PET 2002]

Q. On which of the following lines lies the point of intersection of the line,

\frac{x - 4}{2} = \frac{y - 5}{2} = \frac{z - 3}{1}

and the plane,

x + y + z = 2

Q. If the lines

\frac{x - 4}{2} = \frac{y + 5}{4} = \frac{z - 1}{- 3}

and

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

intersects, find their point of intersection.

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The point of intersection of lines x−45=y−12=z1 and x−12=y−23=z−34 is [AISSE 1986; AMU 2005]

The correct option is A (-1, -1, -1)Trick : Both lines are satisfied by (-1,-1, -1).

The point of intersection of lines $\frac{x - 4}{5} = \frac{y - 1}{2} = \frac{z}{1}$ and $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ is
[AISSE 1986; AMU 2005]

The correct option is A
(-1, -1, -1)

Trick : Both lines are satisfied by (-1,-1, -1).