The length of the perpendicular from the point (2, −1, 4) on the straight line, is |
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(a) |
Greater than 3 but less than 4 |
(b) |
Greater than 2 but less than 3 |

(c) |
Greater than 4 |
(d) |
Less than 2 |

The length of the perpendicular from the point (2, −1, 4) on the straight line, is |
|||

(a) |
Greater than 3 but less than 4 |
(b) |
Greater than 2 but less than 3 |

(c) |
Greater than 4 |
(d) |
Less than 2 |

1 Answer - 5876 Votes

3537

Let P be the foot of perpendicular from point A(2, −1, 4) on the given line. So P can be assumed as P(10 − 3, −7 + 2, )

DR’s of AP ∝ to 10 − 5, −7 + 3, − 4

AP and given line are perpendicular, so

10(10 − 5) − 7(−7 + 3) + 1( − 4) = 0

⇒ =

AP =

=

= : (3, 4)