Home
Class 12
MATHS
Show that the sum of the intercepts on t...

Show that the sum of the intercepts on the coordinate axes of any tangent to the curve `sqrt x + sqrt y = sqrt a` is constant.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 2

    MODERN PUBLICATION|Exercise PROBLEM|74 Videos

  • TEST PAPER 4

    MODERN PUBLICATION|Exercise PROBLEM|64 Videos

Similar Questions

Explore conceptually related problems

Write the equation of the tangent to the curve y=sqrt x at the point (-4, 4).

Write slope of the tangent to the curve y= sqrt(3)sinx+cos x at [pi/3,2]

Is there any tangent to the curve y=|2x-1| at (1/2,0) ?

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on co-ordinate axes is constant. Show that the plane passes through a fixed point.

Write the slope of the tangent to the curve y= sqrt3 sinx+cosx at ((pi)/(2),sqrt3) .

MODERN PUBLICATION-TEST PAPER 3-PROBLEM
  1. Let A = ( ( 1 2 2) , (2 1 2), (2 2 1)).Find A^-1 and hence show A^2-4A...

    Text Solution

    |

  2. Prove that the following. [[b^2+c^2,ab,ac],[ab,c^2+a^2,bc],[ca,cb,a^2+...

    Text Solution

    |

  3. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  4. Shows that the triangle of greatest area that can be inscribed in a ci...

    Text Solution

    |

  5. Find the area of the région on closed between y = 4x-1 and y^2=2x

    Text Solution

    |

  6. Write fog if f:R rarr R and g: R rarr R is given by f(x) = | x| and g(...

    Text Solution

    |

  7. Evaluate : tan^(-1)((-1)/sqrt3)+cot^(-1)(1/sqrt3)+tan^(-1)(sin(-π/2)).

    Text Solution

    |

  8. If | adj A | = 64 then find | A |

    Text Solution

    |

  9. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

    Text Solution

    |

  10. A differentiable function f defined for all x > 0 and satisfies f(x^2)...

    Text Solution

    |

  11. Write the minimum value of y2 where y=sin^2x cos^2x

    Text Solution

    |

  12. Evaluate int-1^1e^|x| dx

    Text Solution

    |

  13. Write the vector equation ofthe plane whose cartesian equation is x + ...

    Text Solution

    |

  14. Let A (1,2,3). Then, find the number of equivalence relations containi...

    Text Solution

    |

  15. Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) ...

    Text Solution

    |

  16. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

    Text Solution

    |

  17. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

    Text Solution

    |

  18. Find the values of a and b, if the function f defined as f(x) {(x^2+3x...

    Text Solution

    |

  19. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

    Text Solution

    |

  20. Find the dy/dx when cos x = sqrt ((1)/(1+t^2)), sin y = (2t)/(1+t^2)

    Text Solution

    |