Home
Class 12
MATHS
If x+4y=14 is a normal to the curve y^2=...

If `x+4y=14` is a normal to the curve `y^2=alphax^3-beta` at (2,3), then the value of `alpha+beta` is 9 (b) `-5` (c) 7 (d) `-7`

A

9

B

`-5`

C

7

D

`-7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos
  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|15 Videos
  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then the value of alpha+beta is (a) 9 (b) -5 (c) 7 (d) -7

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If alpha\ a n d\ beta are the roots of 4x^2+3x+7=0 then the value of 1/alpha+1/beta is a) 4/7 b) -3/7 c) 3/7 d) -3/4

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is 9 (b) 3 (c) 7 (d) 6

If 3cosalpha=2cos(alpha-2beta), then tan(alpha-beta) tanbeta= (A) 5 (B) -5 (C) 1/5 (D) -1/5

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is (a) 9 (b) 3 (c) 7 (d) 6

If alpha and beta are zeroes of 5x^(2)-7x+1 , then find the value of (1)/(alpha)+(1)/(beta) .

If 2x +3y = alpha, x -y = beta and kx +15y = r are 3 concurrent normal of parabola y^(2) = lambda x then value of k is (a) 3 (b) 4 (c) 5 (d) 7

If alpha and beta are the roots of 2x^(2) + 5x - 4 = 0 then find the value of (alpha)/(beta) + (beta)/(alpha) .

If tangent to curve 2y^3 = ax^2+ x^3 at point (a, a) cuts off intercepts alpha, beta on co-ordinate axes, where alpha^2 + beta^2=61 , then the value of 'a' is equal to (A) 20 (B) 25 (C) 30 (D)-30

VIKAS GUPTA (BLACK BOOK) ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

    Text Solution

    |

  2. A conical vessel is to be prepared out of a circular sheet of gold of ...

    Text Solution

    |

  3. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  4. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  5. L e tf(x)={x e^(a x),xlt=0x+a x^2-x^3,x >0 where a is a positive cons...

    Text Solution

    |

  6. Find sum of all possible values of the real parameter 'b' if the diffe...

    Text Solution

    |

  7. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  8. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  9. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  10. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

    Text Solution

    |

  11. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

    Text Solution

    |

  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  13. The numbr of real roots of the equation x ^(2013)+ e ^(2014x) =0 is

    Text Solution

    |

  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  15. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  16. The coordinates of a particle moving in a plane are given by x (t) = a...

    Text Solution

    |

  17. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

    Text Solution

    |

  18. If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...

    Text Solution

    |

  19. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

    Text Solution

    |

  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |