Home
Class 12
MATHS
The number of values of c such that the ...

The number of values of c such that the line `y=4 x+c `touches the curve `(x^(2))/(4)+y^(2)=1` is

A

0

B

1

C

2

D

indefinite

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The number of values oif c such that the line y=4x+c touches the curve (x^(2))/4+y^(2)=1 is

The value of K so that y=4x+K may touch the hyperbola (x^(2))/(64)-(y^(2))/(49)=1 is

Show that the line 3x-4y=1 touches the circle x^(2)+y^(2)-2x+4y+1=0 .

The value of K so that y = 4x+ K may touch the hyperboal (x^(2))/(64)-(y^(2))/(49)=1 is

The st. line y = 4x + c touches the hyperbola x^2-y^2=1 if .

The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at

The values of lamda for which the line y=x+ lamda touches the ellipse 9x^(2)+16y^(2)=144 , are

The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) = 16 is...

The equation of a line which touches both the curves y^(2)=4 x and 3 x^(2)-4 y^(2)=12 is

The normal to the curve x^(2) = 4y passing (1,2) is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))...

    Text Solution

    |

  2. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

    Text Solution

    |

  3. The number of values of c such that the line y=4 x+c touches the curve...

    Text Solution

    |

  4. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

    Text Solution

    |

  5. The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

    Text Solution

    |

  6. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

    Text Solution

    |

  7. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

    Text Solution

    |

  8. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

    Text Solution

    |

  9. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

    Text Solution

    |

  10. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

    Text Solution

    |

  11. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

    Text Solution

    |

  12. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

    Text Solution

    |

  13. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

    Text Solution

    |

  14. The tangent making an angle 60^(circ) with the major axis and touching...

    Text Solution

    |

  15. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

    Text Solution

    |

  16. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

    Text Solution

    |

  17. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  18. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  19. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

    Text Solution

    |

  20. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

    Text Solution

    |