Home
Class 12
MATHS
If the parabola y=(a-b)x^2+(b-c)x+(c-a)...

If the parabola `y=(a-b)x^2+(b-c)x+(c-a)` touches x- axis then the line `ax+by+c=0` (a) always passes through a fixed point (b) represents the family of parallel lines (c) is always perpendicular to x-axis (d) always has negative slope

A

always passes through a fixed point

B

represents the family of parallel lines

C

data insufficient

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If a , b , c are in A.P ., then the equation 2ax+by +3c = 0 always passes through

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

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______

if the parabola y=x^2 + bx+c touches the straight line y=x at (1,1) , then 1000+100b+10c=

The variable plane x+3y+z-4+lambda(2x-y)=0 always passes through the line

If a , b ,c are in harmonic progression, then the straight line ((x/a))+(y/b)+(l/c)=0 always passes through a fixed point. Find that point.

If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0 posses through the fixed point which is

The plane x+y=0 (A) is parallel to y-axis (B) is perpendicular to z-axis (C) passes through y-axis (D) none of these