Home
Class 11
MATHS
Statement 1:If the point (2a-5,a^2) is o...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

If the point (2a-3,a^(2)-1) is on the same side of the line x+y-4=0 as that of the origin then

The points (1,2) and (3,4) are on the same side of line 2x-3y+5=0

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

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

Prove that the point (2, -1) and (1, 1) are on the opposite sides of the straight line 3x+4y-6=0 .

If the line y=mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m is equal to

Statement I : The lines x(a+2b) +y(a+3b)=a+b are concurrent at the point (2,-1) Statement II : The lines x+y -1 =0 and 2x + 3y -1 = 0 intersect at the point (2,-1)

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

If the line y=mx +1 meets the circle x^(2)+y^(2)+3x=0 in two points equidistant and on opposite sides of x-axis, then