Home
Class 12
MATHS
The values that m can take so that the s...

The values that m can take so that the straight line `y=4x+m` touches the curve `x^(2)+4y^(2)=4` is

A

`pmsqrt(45)`

B

`pmsqrt(60)`

C

`pmsqrt(65)`

D

`pmsqrt(72)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

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

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

The length of the straight line x-3y =1 intercept by the hyperbola x^(2) -4y^(2) =1 is

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=9a^(2) . If the straight line touches the circle x^(2)+y^(2)=r^(2) , then

AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

    Text Solution

    |

  2. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

    Text Solution

    |

  3. The values that m can take so that the straight line y=4x+m touches th...

    Text Solution

    |

  4. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

    Text Solution

    |

  5. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

    Text Solution

    |

  6. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

    Text Solution

    |

  7. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

    Text Solution

    |

  8. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

    Text Solution

    |

  9. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  10. Angle between the tangents drawn from the point (5,4) to the ellipse ...

    Text Solution

    |

  11. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

    Text Solution

    |

  12. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

    Text Solution

    |

  13. The tangent at any point P on the ellipse meets the tangents at the ve...

    Text Solution

    |

  14. The equation of the normal to the ellipse x^(2)+3y^(2)=144 at the posi...

    Text Solution

    |

  15. The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3...

    Text Solution

    |

  16. If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  17. The dist. of a point P on the ellipse (x^(2))/(12)+(y^(2))/(4)=1 from...

    Text Solution

    |

  18. The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2)...

    Text Solution

    |

  19. P((pi)/(6)) is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 S,S^(...

    Text Solution

    |

  20. The equation of the tangent at the point theta=(pi)/(3) to the ell...

    Text Solution

    |