Let the parabolas y=x(c-x) and y=x^2+a x...

Let the parabolas `y=x(c-x)` and `y=x^2+a x+b` touch each other at the point (1,0). Then

A

`a+b+c=0`

B

`a+b=2`

C

`b-c=1`

D

`a+c=-2`

Verified by Experts

The correct Answer is:

A, C, D

APPLICATION OF DERIVATIVES
CENGAGE|Exercise Exercise (Comprehension)|13 Videos
APPLICATION OF DERIVATIVES
CENGAGE|Exercise Exercise (Numerical)|19 Videos
APPLICATION OF DERIVATIVES
CENGAGE|Exercise Exercise (Single)|58 Videos
3D COORDINATION SYSTEM
CENGAGE|Exercise DPP 3.1|11 Videos
APPLICATION OF INTEGRALS
CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

Let the parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0). Then a+b+c=0a+b=2b-c=1(d)a+c=-2

Let the parabolas y=x(c-x)and y=x^(2)+ax+b touch each other at the point (1,0), then-

Let parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0) then b-c=

If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the point (1,0), then a+b+c=

Let the parabolas y= x^(2)+ ax +b and y =x(c-x) touch cach other at point (1,0). Then

The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at the point

The curves y=x^(2)+x+1 and 2y=x^(3)+5x touch each other at the point

The curves y=x^(3)+x+1 and 2y=x^(3)+5x touch each other at the point

Find the value of a,b,c such that curves y=x^(2)+ax+bandy=cx-x^(2) will touch each other at the point (1,0)

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .