Home
Class 12
MATHS
The sum of the intercepts made on the ax...

The sum of the intercepts made on the axes of coordinates by any tangent to the curve ` sqrt(x)+sqrt(y)=sqrt(a)` is equal to

A

a

B

2a

C

`2sqrta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrt(x)+sqrt(y)=2 is equal to

The equation of tangent to the curve sqrt(x)-sqrt(y)=1 at (9,4) is

What is the sum of lengths of intercepts oftangent to the curve sqrt(x)+sqrt(y)=sqrt(k) .This

Prove that the sum of the x and y intercepts made by the tangent to the curve sqrt(x)+sqrt(y)=sqrt(a) at any point on it's is a constant

The area bounded by the coordinate axes and the curve sqrt(x)+sqrt(y)=1 is

The sum of the intercepts made by a tangent to the curve sqrt(x)+sqrt(y)=4 at point (4,4) on coordinate axes is-

The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y) = 1 , is

Find area bounded by the curve sqrt(x)+sqrt(y)=sqrt(a)& coordinate axes.

The least intercept made by the coordinate axes on a tangent to the ellipse (x^(2))/(64)+(y^(2))/(49)=1 is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The normal to the curve y=x^2-x+1 drawn at the points with the absciss...

    Text Solution

    |

  2. The normal to the curve x^(2)+2xy-3y^(2)=0, at (1,1)

    Text Solution

    |

  3. The sum of the intercepts made on the axes of coordinates by any tange...

    Text Solution

    |

  4. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |

  5. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  6. The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2),...

    Text Solution

    |

  7. Let y=e^(x^2) and y=e^(x^2) sin x be two given curves . Then the angle...

    Text Solution

    |

  8. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  9. A body moves according to the formula v=l+t^2, where V is the velocity...

    Text Solution

    |

  10. A point moves in the straight line during the time t=0 to t=3 accordin...

    Text Solution

    |

  11. A particle moves in a straight line in such a way that its velocity at...

    Text Solution

    |

  12. Displacment x of a particle at time t is given by x=At^(2)+Bt+C, where...

    Text Solution

    |

  13. IF t=v^2/2, then (-(df)/(dt)) is equal to , (where f is acceleration...

    Text Solution

    |

  14. If the displacement velocity and acceleration of a particle at time t ...

    Text Solution

    |

  15. If the law of motion in a straight line is s=(1)/(2)vt, then accelerat...

    Text Solution

    |

  16. The law of motion of a body moving along a straight line is x=1/2vt, x...

    Text Solution

    |

  17. A particle moves so that s=6+48t-t^3. The direction of motion reverses...

    Text Solution

    |

  18. The speed v of a particle moving along a straight line is given by a+b...

    Text Solution

    |

  19. A man of height 1.8 metre is moving away from a lamp post at the rate ...

    Text Solution

    |

  20. A 10cm long rod AB moves with its ends on two mutually perpendicular s...

    Text Solution

    |