Home
Class 12
MATHS
The slope of the tangent (other than the...

The slope of the tangent (other than the x - axis) drawn from the origin to the curve `y=(x-1)^(6)` is

A

`(6^(5))/(5^(4))`

B

`-(6^(5))/(5^(5))`

C

`(6^(5))/(5^(5))`

D

`-(6^(6))/(5^(5))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 48

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 50

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The number of tangents with positive slope that can be drawn from the origin to the curve y = sinx is

The slope of the tangent to the curve y=6+x-x^(2) at (2,4) is

26.The points of contact of the tangents drawn from the origin to the curve y=sin x, lie on the curve

The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

The slope of the tangent line to the curve y=x^3-2x+1 at x=1 is

Slope of the tangent to the curve y=x^(2)+3 at x=2 is

The number of tangents that can be drawn from (2, 0) to the curve y=x^(6) is/are

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

NTA MOCK TESTS-NTA JEE MOCK TEST 49-MATHEMATICS
  1. The value of lim(nrarroo)([x]+[2^(2)x]+[3^(2)x]+…+[n^(2)x])/(1^(2)+2^(...

    Text Solution

    |

  2. Let I=int(cos^(3)x)/(1+sin^(2)x)dx, then I is equal to (where c is the...

    Text Solution

    |

  3. The slope of the tangent (other than the x - axis) drawn from the orig...

    Text Solution

    |

  4. The maximum value of the expression sin theta cos^(2)theta(AA theta in...

    Text Solution

    |

  5. The area (in sq. units) bounded by y={{:(e^(x),":",xge0),(e^(-x),":",x...

    Text Solution

    |

  6. The slope of the tangent at any arbitrary point of a curve is twice th...

    Text Solution

    |

  7. If the system of equations 3x+y+z=1, 6x+3y+2z=1 and mux+lambday+3z=1 i...

    Text Solution

    |

  8. The probability of an event A is (4)/(5). The probability of an event ...

    Text Solution

    |

  9. Let veca, vecb and vecc be three vectors such that |veca|=2, |vecb|=1 ...

    Text Solution

    |

  10. The distance of the point (2, 3, 2) from the plane 3x+4y+4z=23 measure...

    Text Solution

    |

  11. Let the equations of the sides PQ, QR, RS and SP of a quadrilateral PQ...

    Text Solution

    |

  12. The locus of the point of intersection of the tangents at the extremit...

    Text Solution

    |

  13. Two straight lines having variable slopes m(1) and m(2) pass through t...

    Text Solution

    |

  14. For a complex number Z, if arg Z=(pi)/(4) and |Z+(1)/(Z)|=4, then the ...

    Text Solution

    |

  15. In a factory, workers work in three shifts, say shift 1, shift 2 and s...

    Text Solution

    |

  16. The value of a+b such that the inequality ale 5 cos theta+3cos (theta+...

    Text Solution

    |

  17. If the line y=-(7)/(2) is the directrix of the parabola x^(2)-ky+8=0, ...

    Text Solution

    |

  18. Let A be a non - singular square matrix such that A^(2)=A satisfying (...

    Text Solution

    |

  19. Let f(x)={{:(((1-cosx)/((2pi-x)^(2)))((sin^(2)x)/(log(1+4pi^(2)-4pix+x...

    Text Solution

    |

  20. If int(20)^(40)(sinx)/(sinx+sin(60+x))dx=k, then the value of (k)/(4) ...

    Text Solution

    |