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

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 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) .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find frac[dy][dx] if y=([sinx+x^2]/[cot2x]).

    Text Solution

    |

  5. Integrate intfrac[(sin^2x+cos2x)][cos^2x)]dx

    Text Solution

    |

  6. Solve the following differential equations (x+tany)dy= sin 2y ""dx

    Text Solution

    |

  7. Evaluate int0^1frac[ln(1+x)][1+x^2]dx

    Text Solution

    |

  8. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |

  9. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  10. Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...

    Text Solution

    |

  11. A variable plane meets the coordinate axes at A, B, C and is at a cons...

    Text Solution

    |

  12. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  13. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

  14. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  15. Solve the following system of equations by matrix method x+2y+3z=8, 2x...

    Text Solution

    |

  16. What is the number of solution of the following system: 2x+3y=6, x+y...

    Text Solution

    |

  17. What is int(2x^2+3)/((x^2-1)(x^2+4))dx?

    Text Solution

    |

  18. Write the equation of the plane passing through the point(1,0,0),(0,2,...

    Text Solution

    |

  19. Given an example of a function which is both odd and even function.

    Text Solution

    |

  20. If abs(veca+vecb)=abs(veca-vecb)then what is the angle between vecaand...

    Text Solution

    |