Home
Class 11
MATHS
The set of values of b for which the ori...

The set of values of b for which the origin and the point (1, 1) lie on the same side of the straight line, `a^2 x + a by + 1= 0 AA ainR, bgt 0` are(A) `b in (2,4)` (B)` b in(0, 2)` (C) `b in [0, 2]`(D) `(2, oo)`

Text Solution

Verified by Experts

f(x)=`a^2+aby+1=0`
f(0,0)=0+0+1>0
similarly,
f(1,1)>1
`a^2+ab+1>0`
D<0
`b^2-4.1<0`
b`in`(-2,2)`nn`b>0
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the set of positive values of b for which the origin and the point (1,1) lie on the same side of the straight line,a^(2)x+aby+1=0,AA a in R

Find the set of positive values of b for which the origin and the point (1, 1) lie on the same side of the straight line, a^2x+ab y+1=0,AAa in Rdot

Find the set of positive values of b for which the origin and the point (1, 1) lie on the same side of the straight line, a^2x+ab y+1=0,AAa in Rdot ,b>0

Find the set of positive values of b for which the origin and the point (1, 1) lie on the same side of the straight line, a^2x+ab y+1=0,AAa in Rdot ,b>0

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

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.