XY - plane divides the line joining the points A -2- 3- - 5- and B- -1- -2- -3- in the ratio5-3 Internally2-1 Internally5-3 Externally3-2 Externally

The correct option is C 5:3 ExternallyEquation of XY plane is z=0 Let nbsp; plane cuts nbsp; the line joining the points in the ratio k:1 at the point P(x, ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Section Formula

XY – plane di...

Question

$X Y$ – plane divides the line joining the points $A (2, 3, - 5)$ and $B (- 1, - 2, - 3)$ in the ratio

5:3 Internally

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2:1 Internally

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5:3 Externally

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3:2 Externally

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 5:3 Externally
Equation of XY-plane is $z = 0$
Let plane cuts the line joining the points in the ratio $k : 1$ at the point $P (x, y, z)$
$z = \frac{- 3 k - 5}{k + 1} = 0 \Rightarrow - 3 k = 5 \Rightarrow k = \frac{- 5}{3}$
The negative sign infer that the plane cuts the line externally in the ratio
$\frac{5}{3}$ externally

Suggest Corrections

Similar questions

xy plane divides the line joining the points $(2, 4, 5)$ and $(- 4, 3, - 2)$ in the ratio

7 \to a - \to c

divides the join of points given by the position vectors

\to a + 2 \to b + 3 \to c

and

- 2 \to a + 3 \to b + 5 \to c

in the ratio

Q. The ratio in which the line

3 x + 2 y = 2

divides the line joining the points

(- 6, - 2)

and

(4, 3)

Q. The ratio in which the point

(2, y)

divides the line segment joining

(4, 3)

and

(6, 3)

Q. Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2, 1) is
(a) 3 : 1 internally
(b) 3 : 1 externally
(c) 1 : 2 internally
(d) 2 : 1 externally

Join BYJU'S Learning Program

XY – plane divides the line joining the points A (2,3,−5) and B (−1,−2,−3) in the ratio

The correct option is C 5:3 ExternallyEquation of XY-plane is z=0 Let plane cuts the line joining the points in the ratio k:1 at the point P(x,y,z) z=−3k−5k+1=0⇒−3k=5⇒k=−53 The negative sign infer that the plane cuts the line externally in the ratio 53 externally

$X Y$ – plane divides the line joining the points $A (2, 3, - 5)$ and $B (- 1, - 2, - 3)$ in the ratio