Home
Class 12
MATHS
If the tangent to the curve, y = x^(3) +...

If the tangent to the curve, `y = x^(3) + ax -b ` at the point `(1, -5)` is perpendicular to the line, `-x +y + 4 =0`, then which one of the following points lies on the curve ?

A

(-2,1)

B

(-2,2)

C

(2,-1)

D

(2, -2)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If the tangent to the curve y^(2)=ax^(2)+b at the point (2,3) is y=4x-5, then (a,b)=

The line y=x+1 is tangent to the curve y^(2)=4x at the point :

The line y=x+1 is a tangent to the curve y^(2)=4x at the point:

The line y=x+1 is a tangent to the curve y^(2)=4x at the point :

The point on the curve y=3x^(2)+2x+5 at which the tangent is perpendicular to the line x+2y+3=0

Point on the curve y=x^(4)+5 , the normal at which is prependicular to the line 4x-y-1=0 is

A curve f(x)=x^(2)+ax-b pass through p(1,-5) and tangent to f(x) at point p is perpendicular to x-y+5=0 then which of the following point will lie on curve?

The point on the curve y= sqrt(x-1) where the tangent is perpendicular to the line 2x+y-5=0 is

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

DISHA PUBLICATION-JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))-MCQs
  1. Four persons can hit a target correctly with probabilities (1)/(2),(1)...

    Text Solution

    |

  2. If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) meets the plane, x+2y+3z=15 ...

    Text Solution

    |

  3. If the tangent to the curve, y = x^(3) + ax -b at the point (1, -5) i...

    Text Solution

    |

  4. The value of int(0)^(n//2)(sin^(3)x)/(sinx+cos x) dx is

    Text Solution

    |

  5. The value of cos^(2)10^(@)-cos10^(@) cos 50^(@) + cos^(2) 50^(@) is

    Text Solution

    |

  6. If the line y = mx + 7 sqrt(3) is normal to the hyperbola (x^(2))/(...

    Text Solution

    |

  7. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  8. For any two statements p and q, the negation of the expression p vee (...

    Text Solution

    |

  9. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  10. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  11. If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot ...

    Text Solution

    |

  12. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  13. A plane passing through the points (0, -1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  14. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  15. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

    Text Solution

    |

  16. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  17. Let f(x) = 15 -|x-10|, x in R. Then, the set of all values of x, at w...

    Text Solution

    |

  18. Let S be the set of all values of x for which the tangent to the curve...

    Text Solution

    |

  19. If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axe...

    Text Solution

    |

  20. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |