Question

[SINGLE CORRECT CHOICE TYPE]
There are three points (a, x), (b, y) and (c, z) such that the straight lines joining any two of them are not equally
inclined to the coordinate axes where a, b, c, x, y, z E R.
xta
ytb
z+ch
If
y+b
Z+C
X+a = 0 and a + c =-b, then x, -
у
, z are
in
ztc
xta
ytbl
A​

Answer 1

Answer:

Step-by-step explanation:

From the given conditions, The determinant is a symmetric one. The determinant will be equal to zero if x + a + y + b + z + c = 0 But a + b + c = 0 (given). So  x + y + z = 0 ⇒ x + z = 2(-y/2) ⇒ x, - y/2, z are in AP