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

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2009-MATHEMATICS
  1. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  2. The smallest positive integral value of n such that [(1+"sin"pi/8+i"co...

    Text Solution

    |

  3. Which one of the following is possible?

    Text Solution

    |

  4. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  5. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  6. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  7. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  8. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

    Text Solution

    |

  9. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

    Text Solution

    |

  10. The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)...

    Text Solution

    |

  11. The co ordinates of the cenre of the smallest circle passing through t...

    Text Solution

    |

  12. The length of the diameter of the circle which cuts three circles x...

    Text Solution

    |

  13. For the parabola y^(2)=4x the point P whose focal distance is 17 is

    Text Solution

    |

  14. The angle between the tangents drawn to the parabola y^(2)=12x from th...

    Text Solution

    |

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

    Text Solution

    |

  16. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  17. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  18. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

    Text Solution

    |

  19. The angle between the pair of lines x^(2)+2xy-y^(2)=0 is

    Text Solution

    |

  20. lim(n to oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |