Home
Class 12
MATHS
If the line x+y =1 is a tangent to the ...

If the line `x+y =1 ` is a tangent to the parabola `y^(2)-y +x=0`, then the point of contact is-

A

`(0, 1)`

B

`(a, 0)`

C

`(1, 1)`

D

`(-1, 0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 5|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 2|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

y=x is tangent to the parabola y=ax^(2)+c . If c=2, then the point of contact is

y=x is tangent to the parabola y=2ax^(2)+c . If (1,1) is the point of contact, then a is

y=x is tangent to the parabola y=ax^(2)+c . If (1,1) is the point of contact, then a is

If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=4 , then the coordinates of the point of contact are -

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

If the line x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), then the value of a+b is ___________ .

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=8x, is lamda =

Tangents which are parrallel to the line 2x+y+8=0 are drawn to hyperbola x^(2)-y^(2)=3 . The points of contact of these tangents is/are

Find the equation of the tangent to the parabola y^2=8x having slope 2 and also find the point of contact.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  2. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

    Text Solution

    |

  3. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

    Text Solution

    |

  4. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

    Text Solution

    |

  5. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

    Text Solution

    |

  6. The angle between the curves y= sin x and y= cos x is-

    Text Solution

    |

  7. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  8. If PQ and PR are the two sides of a triangle, then the angle between ...

    Text Solution

    |

  9. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

    Text Solution

    |

  10. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

    Text Solution

    |

  11. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

    Text Solution

    |

  12. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

    Text Solution

    |

  13. A land in the form of a circular sector has been fenced by wire of 40 ...

    Text Solution

    |

  14. The maximum value of the function f(x)=3 cos x - 4 sin x is-

    Text Solution

    |

  15. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

    Text Solution

    |

  16. The surface area of a spherical bubble is increasing at the rate of ...

    Text Solution

    |

  17. A point on the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  18. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

    Text Solution

    |

  19. Maximize : Z=5y+2x subject to constraints- x+2y le 4, 7x + 8y ge 56...

    Text Solution

    |

  20. An open box with a square base is made out of a given iron sheet of ar...

    Text Solution

    |