Consider the following
1. The coordinates of Q are (4, -3, -1).
2. PQ is of length more than 8 units.
3. The point (1, -1, -3) is the mid-point of the line segment PQ and lies of the given plane.
Which of the above statements are correct?

1 and 2 only

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2 and 3 only

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1 and 3 only

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1, 2 and 3

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Solution

The correct option is B 1 and 2 only
point $P (- 2, 1, - 5)$ in the plane $3 x - 2 y + 2 z + 1 = 0.$
So the items follows will be coordinates of Q
$i . e .$ Coordinate of Q is $(4, - 3, - 1)$ and Also the PQ
Such that PQ is of length more the 8 units
Thus 1 and 2 only follows.

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Similar questions

\frac{P R}{P Q} = \frac{3}{5}

Q20. With reference to Black buck consider the following statements:

1. IUCN: Near Threatened

2. They are the “state animal” of Haryana and Punjab

3. They are found only in India

Which f the above statement/s is/are incorrect?

Which of the follwing statements are correct ?
1. The coordinates of the point R which divides the line

segment joining two points $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$

externally in the ratio m:n are $(\frac{m x_{2} + n x_{1}}{m + n}, \frac{m y_{2} + n y_{1}}{m + n}, \frac{m z_{2} + n z_{1}}{m + n})$ .

2. If R divides PQ internally in the ratio m:n, then its coordinates

are obtained by replacing n by -n in the statement 1.

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