Home
Class 12
MATHS
The tangent to the curve y^(2)-xy+9=0 is...

The tangent to the curve `y^(2)-xy+9=0` is vertical when ……………… .

A

`y=0`

B

`y=pmsqrt3`

C

`y=(1)/(2)`

D

`y=pmsqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.9|2 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

If H is the number of horizontal tangents and V is the number of vertical tangents to the curve y^3-3xy +2=0 , then the value of (H+ V) equals

Find the point on the curve where tangents to the curve y^2-2x^3-4y+8=0 pass through (1,2).

The distance between the origin and the tangent to the curve y=e^(2x)+x^2 drawn at the point x=0 is

The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] is at

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find points at which the tangent to the curve y = x^(3) – 3x^(2) – 9x + 7 is parallel to the x-axis.

The tangents to the curve y = (x - 2)^(2) - 1 at its points of intersectio with the line x - y = 3, intersect at the point

The equation of a common tangent tangent to the curves, y^(2)=16x and xy= -4, is

FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -EXERCISE - 7.10
  1. The volume of a sphere is increasing in volume at the rate of 3picm^(3...

    Text Solution

    |

  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

    Text Solution

    |

  3. The position of a particle moving along a horizontal line of any time ...

    Text Solution

    |

  4. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  5. Find the slope for x=2 in f(x)=x^(3)+2

    Text Solution

    |

  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

    Text Solution

    |

  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

    Text Solution

    |

  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

    Text Solution

    |

  9. Angle between y^(2)=xandx^(2)=y at the origin is

    Text Solution

    |

  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

    Text Solution

    |

  11. The function sin^(4)x+cos^(4)x is increasing in the interval

    Text Solution

    |

  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

    Text Solution

    |

  13. The number given by the Mean value theorem for the function 1/x,x in[1...

    Text Solution

    |

  14. The minimum value of the function |3-x|+9 is

    Text Solution

    |

  15. The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] ...

    Text Solution

    |

  16. The maximum value of the function x^(2)e^(-2x),xgt0 is

    Text Solution

    |

  17. One of the closest points on the curve x^(2)-y^(2)=4 to the point (6, ...

    Text Solution

    |

  18. The maximum value of the product of two positive numbers, when their s...

    Text Solution

    |

  19. The curve y=ax^(4)+bx^(2)" with "abgt0

    Text Solution

    |

  20. The point of inflection of the curve y=(x-1)^(3) is

    Text Solution

    |