Are the points (2,1) and `(-3,5)` on the same or opposite side of the line `3x - 2y + 1 = 0 `?

Are the points (3,4) and (2,-6) on the same or opposite sides of the line 3x-4y=8?

Are the points (3,4) and (2,-6) on the same or opposite sides of the line 3x-4y=8?

Are the points (2, 3) and (1, 3) on the same side or on opposite sides of the line x-2y=-3 .

Examine whether the points (3, -4) and (2, 6) are on the same or opposite sides of the line 3x-4y=9 ?

If the point (1,2) and (34) were to be on the same side of the line 3x-5y+a=0 then

If the points (1, 2) and (3, 4) were to be on the opposite side of the 3x - 5y + alpha = 0 , then:

Statement I The points (3,2) and (1,4) lie on opposite side of the line 3x-2y-1 =0 Statement II The algebraic perpendicular distance from the given the point to the line have opposite sign

Assertion: The points (2,1,5) and (3,4,5) lie on opposite side of the plane 2x+2y-2z-1=0 , Reason: Values of 2x+2y-2z-1 for points (2,1,5) and (3,4,3) have opposite signs. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Statement 1:If the point (2a-5,a^2) is on the same side of the line x+y-3=0 as that of the origin, then a in (2,4) Statement 2: The points (x_1, y_1)a n d(x_2, y_2) lie on the same or opposite sides of the line a x+b y+c=0, as a x_1+b y_1+c and a x_2+b y_2+c have the same or opposite signs.

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then x >8/(15) (b) x >8/5 y<-8/5 (d) y<-8/(15)