Home
Class 12
MATHS
Show that the line y = mx + c touches th...

Show that the line y = mx + c touches the parabola `y^(2)` = 4ax if c `= (a)/(m)`.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc .

Show that the line y = mx + c touches the ellips x^2/a^2 + y^2/b^2 = 1 if c^2 = a^2m^2 + b^2 .

Show that the line y = mx + c touchees y = 4ax if c = a/m .

Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2=a^2m^2-b^2

obtain the condition that the line lx+my+n=0 will touch the parabola y^2=4ax .

The line y=3 is a tangent to the parabola (x+2)^2=6(y-3) .

Fill in the blanks by choosing the correct answer from the given alternatives : The line y = x + k touches the circle x^2 + y^2 = 16 if k = ______.

Prove that the line 4x-2y-1=0 touches the parabola whose focus it at (0,0) and directrix is the line y=2x-1.

Prove that for all values of k the line y=k(x+a)+a/k is a tangent to the parabola y^2,=4a(x+a).

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

    Text Solution

    |

  2. If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...

    Text Solution

    |

  3. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

    Text Solution

    |

  4. Solve xsin""y/xdy=(ysin""y/x-x)dx

    Text Solution

    |

  5. Evaluate int0^(pi/2)sinx/(sinx+cosx)dx.

    Text Solution

    |

  6. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

    Text Solution

    |

  7. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

    Text Solution

    |

  8. If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk,then find the angle ...

    Text Solution

    |

  9. Find the equation of plane passing through the intersection of the pla...

    Text Solution

    |

  10. Find the co-ordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  11. Prove that (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2=2veca^2

    Text Solution

    |

  12. Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-1...

    Text Solution

    |

  13. Evaluate the following integrals int(3)/(x^3-1)dx

    Text Solution

    |

  14. Show that int0^pixInsinx=pi^2/2In1/2

    Text Solution

    |

  15. Solve dy/dx+y/x=sinx/x,y(0)=0

    Text Solution

    |

  16. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |

  17. A figure consists of a semi-circle with a rectangle on its diameter. G...

    Text Solution

    |

  18. Find the points on the curve y = x^2+1 which are nearest to the point ...

    Text Solution

    |

  19. Prove that a-=bmod 3 is an equivalence relation on the set of integers...

    Text Solution

    |

  20. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |