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

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2020

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

  • TEST PAPER 10

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

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

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 touches the curve x^2/a^2-y^2/b^2 = 1 if c^2=a^2m^2-b^2

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

Show that the line (x)/(a) + (y)/(b) = 1 , touches the curve y = be^(-x//a) at point, where curve intersects the axes.

Show that the lines lx + my + n = 0 , mx + ny + l = 0 and nx + ly + m = 0 are concurrent, if l + m + n = 0.

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

MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t

    Text Solution

    |

  2. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate int(4x^2/((x-3) (x+1)) dx

    Text Solution

    |

  5. int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)

    Text Solution

    |

  6. Solve : (dy/dx)= (x + y)^2

    Text Solution

    |

  7. Find the particular solution of the following differential equation: (...

    Text Solution

    |

  8. Find the area of the region bounded by the line y = 3x + 2, x-axis and...

    Text Solution

    |

  9. Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...

    Text Solution

    |

  10. Find the equation of a plane biscting the line segment joining (-1,4,3...

    Text Solution

    |

  11. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

  12. Congruence modulo 3 relation partitions the set Z into how many equiva...

    Text Solution

    |

  13. Maximise Z=5x(1)+7x(2) Subject to x(1)+x(2)le4, 5x(1)+8x(2)le24 ...

    Text Solution

    |

  14. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

    Text Solution

    |

  15. Exaniming consistency and solvability, solve the following equations b...

    Text Solution

    |

  16. If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...

    Text Solution

    |

  17. Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t

    Text Solution

    |

  18. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

    Text Solution

    |

  19. Integrate : int(ln (x+√(x^2 + a^2))dx.

    Text Solution

    |

  20. Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...

    Text Solution

    |