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

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

A

infinite

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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 of c such that the line y=4 x+c touches the curve (x^(2))/(4)+y^(2)=1 is

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

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

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

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

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

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

If the values of m for which the line y= mx +2sqrt5 touches the hyperbola 16x^2 — 9y^2 =144 are the roots of the equation x^2 -(a +b)x-4 = 0 , then the value of a+b is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

    Text Solution

    |

  2. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

    Text Solution

    |

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

    Text Solution

    |

  4. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

    Text Solution

    |

  5. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  6. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  7. If C is the centre and L and L' are the ends of the latus-rectum of th...

    Text Solution

    |

  8. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

    Text Solution

    |

  9. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

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

    Text Solution

    |

  11. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  12. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

    Text Solution

    |

  13. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |

  14. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  15. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  16. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

    Text Solution

    |

  17. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

  18. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

    Text Solution

    |

  19. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  20. The eccentricity of an ellipse with centre at the origin which meets t...

    Text Solution

    |