Home
Class 12
MATHS
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.

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos

  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

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

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. If the sum of the two numbers is 15 and the sum of their squares is mi...

    Text Solution

    |

  2. Two numbers x and y such that x + y=2 and x^3y is maximum, are...... A...

    Text Solution

    |

  3. A closed right circular cylinder of given total surface area, has maxi...

    Text Solution

    |

  4. The function f(x) = x^x is minimum at x=...... A) e B) -e C) 1/e D)...

    Text Solution

    |

  5. The equation of tangent to the curve y=x^2 +4x+ 1 at (-1, 1) is...... ...

    Text Solution

    |

  6. Function f(x) = 2x^3-3x^2-12x +2 has minimum at the point…………

    Text Solution

    |

  7. Find the approximate value of (4.01)^3

    Text Solution

    |

  8. Show that the function f(x)= x^3+10x +7 is increasing for all x in R.

    Text Solution

    |

  9. A particle moves according to the law s=t^3-6t^2+9t+ 15. Find the velo...

    Text Solution

    |

  10. Divide the number 20 into two parts such that their product is maximum...

    Text Solution

    |

  11. Find the equation of tangent to the curve at point sqrt x-sqrt y =1 at...

    Text Solution

    |

  12. The length x of a rectangle is increasing at the rate of 3 m/sec and t...

    Text Solution

    |

  13. Find the value of x such that f(x)=x^4-2x^3+1 is decreasing function.

    Text Solution

    |

  14. Check the applicability of Rolle's theorem for f(x) = (x-1) (2x-3), x ...

    Text Solution

    |

  15. The displacement x of a particle at time tis given by x= 160t-16t^2. S...

    Text Solution

    |

  16. If V denotes the volume and S denotes the surface area of a sphere the...

    Text Solution

    |

  17. Find the approximate value of e^1.002 given that e =2.7183.

    Text Solution

    |

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

    Text Solution

    |

  19. An aeroplane at an altitude of 1km is flying horizontally at 800 km/hr...

    Text Solution

    |

  20. Two sides of triangle are given, find the angle between them such that...

    Text Solution

    |