Home
Class 12
MATHS
Suppose a , b , c are such that the curv...

Suppose `a , b , c` are such that the curve `y=a x^2+b x+c` is tangent to `y=3x-3 at(1,0)` and is also tangent to `y=x+1a t(3,4)dot` Then the value of `(2a-b-4c)` equals ______

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise JEE Previous Year|9 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|10 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

Let C be a curve defined by y=e^a+b x^2dot The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2)dot Then the value of 2a-3b is_____.

In the curve y=x^(3)+ax and y=bx^(2)+c pass through the point (-1,0) and have a common tangent line at this point then the value of a+b+c is

If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

If the line joining the points (0,3)a n d(5,-2) is a tangent to the curve y=C/(x+1) , then the value of c is 1 (b) -2 (c) 4 (d) none of these

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -5 is parallel to x + y + 3 = 0

The curve given by x+y=e^(x y) has a tangent parallel to the y- axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these