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 |
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 |
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)