Home
Class 12
MATHS
The slope of the normal to the curve, ...

The slope of the normal to the curve,
`y^2=4x` at (1,2) is

A

1

B

`1/2`

C

2

D

-1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|57 Videos

Similar Questions

Explore conceptually related problems

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

Choose the correct answer from the bracket The slope of the normal to the curve y=2x^2+3 sin x at x = 0 is.

The slope of the normal to the curve y = x ^(2) - (1)/(x ^(2)) at (-1, 0) is

The slope of the normal to the curve y=2 x^2+3 sin x at x=0 is a)3 b) 1/3 c) -3 d) -1/3

The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2 c)0 d)-1

The slope of the normal to the curve y^(3)-xy-8=0 at the point (0, 2) is equal to a)-3 b)-6 c)3 d)6

Choose the correct answer from the bracket. The slope of the tangent to the curve y=x^3-2x+3 at x=1 is……

Find the slope of the normal to the curve x=1-asintheta , y=bcos^2theta at theta=pi/4

Find the slope of the normal to the curve y=sintheta at theta=pi/4

MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. The slope of the normal to the curve, y=x^3+x^2 at (-1,1) is

    Text Solution

    |

  2. Find the intervals in which the function f(x)=2x^3-24x+25 is increasin...

    Text Solution

    |

  3. The slope of the normal to the curve, y^2=4x at (1,2) is

    Text Solution

    |

  4. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

    Text Solution

    |

  5. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  6. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

    Text Solution

    |

  7. Find the approximate change in volume of a cube of side x meters cause...

    Text Solution

    |

  8. Find the equation of the tangent and normal at the point (1,2) on the ...

    Text Solution

    |

  9. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

    Text Solution

    |

  10. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

    Text Solution

    |

  11. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

    Text Solution

    |

  12. The radius of a circle is increasing at the rate of 2cm//s. Find the r...

    Text Solution

    |

  13. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

    Text Solution

    |

  14. Find the maximum and minimum value of the function f(x)=x^3-6x^2+9x+15...

    Text Solution

    |

  15. Find the approximate value of (82)^(1/4) up to three places of decimal...

    Text Solution

    |

  16. Find two positive numbers such that their sum is 8 and the sum of thei...

    Text Solution

    |

  17. The slope of the tangent to the curve y=x^3-1 at x=2 is………

    Text Solution

    |

  18. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  19. Find two numbers whose sum is 24 and whose product as large as possibl...

    Text Solution

    |

  20. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

    Text Solution

    |