If the line y=4x-5 touches the curve y^2...

If the line y=4x-5 touches the curve `y^2` = a`x^3`+b at point (2, 3) then show that 7a +2b=0.

A

0

B

1

C

-1

D

2

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If the line y= 4x-5 touches the curve y^2 = ax^3 + b , at the point (2,3) find a and b.

If y=4x-5 is tangent to the curve y^2=px^3+q at (2,3) then

The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

Show that the line 7x-3y-1=0 touches the circle x^2+y^2+5x-7y+4=0 at point (1,2)

If the line x=7 touches the circle x^2+y^2-4x-6y-12=0 , then the co-ordinates of the point of contact are

The line x/a+y/b=1 will touch the circle x^2+y^2=c^2 if

If line T_1 touches the curve 8y=(x-2)^2 at (-6,8) and line T_2 touches the curve y=x+3/x at (1,4), then

If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 then the values of a and b are