Question

The point R (1, - 4) lies in
(a) quadrant I
(b) quadrant II
(c) quadrant III
(d) quadrant IV​

Answer 1

Answer:

The coordinates of points P and Q are given as P(2,−3,4) and (8,0,10)

Let R divide line segment PQ in the ratio k:1

Hence by section formula, the coordinates of point R are given by,

(

k+1

k(8)+2

,

k+1

k(0)−3

,

k+1

k(10)+4

)=(

k+1

8k+2

,

k+1

−3

,

k+1

10k+4

)

It is given that the x-coordinate of point R is 4.

∴

k+1

8k+2

=4

⇒8k+2=4k+4

⇒4k=2

⇒k=

2

1

Therefore, the coordinates of point R are (4,

2

1

+1

−3

,

2

1

+1

10(

2

1

)+4

)=(4,−2,6)

Answer 2

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