Home
Class 12
MATHS
Area formed between lines y = nx +(1)/(n...

Area formed between lines y` = nx +(1)/(n), y = -(1)/(n)x-n(n epsilon I)` and y axis is mixmum for

A

`n=1`

B

two values of n

C

`n=-1`

D

only one value of n

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
area `=(1)/(2)xx1xx|n+(1)/(n)|`
`"hence"n=pm1`.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The area between the curves y=x^(2) and y=x^((1)/(3)) taking xi n[-1,1] is:

The area enclosed between the curves y=(log)_e(x+e),x=(log)_e(1/y), and the x-axis is 2s qdotu n i t s (b) 1s qdotu n i t s 4s qdotu n i t s (d) none of these

Area of the parallelogram formed by the lines y=mx,y=mx+1,y=nx and y=nx+1 equals to

If y^((1)/(n))+y^(-(1)/(n))=2x then (x^(2)-1)y_(2)+xy_(1) is equal to

Let A_(n) be the area bounded by the curve y=x^(n)(n>=1) and the line x=0,y=0 and x=(1)/(2). If sum_(n=1)^(n)(2^(n)A_(n))/(n)=(1)/(3) then find the value of n .

If y=((x)/(n))^(nx)(1+(log x)/(n)), then y'(n) is given by

For every interger n, a line L_(n) is drawn through the point P_(n)(n, n+1) perpendicular to the line x-y+1=0 meeting x-axis at A_(n) and y-axis at B_(n) . If O is the origin then sum_(n=0)^(10)(OA_(n)+OB_(n)) is equal to

If the area of the triangle formed by a tangent to the curve x^(n)y=a^(n+1) and the coordinate axes is constant, then n=

ALLEN-TEST PAPERS-part-2 Mathematics
  1. Number of necklaces can be formed with 4 identical beads and two disti...

    Text Solution

    |

  2. f(n)=sum(r=1)^(n) [r^(2)(""^(n)C(r)-""^(n)C(r-1))+(2r+1)(""^(n)C(r ))]...

    Text Solution

    |

  3. Area formed between lines y = nx +(1)/(n), y = -(1)/(n)x-n(n epsilon I...

    Text Solution

    |

  4. x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)4x+4y+7=0 are equation of excircl...

    Text Solution

    |

  5. n' similar balls each of weight w, are weighted in pairs. The sum of t...

    Text Solution

    |

  6. A number is chosen at random from the number 10to99. By seeing the num...

    Text Solution

    |

  7. If the circle C(1) touches x-axis and the line y=xtantheta(tanthetagt...

    Text Solution

    |

  8. From P(-4,0) tangents PA, PA' are draw to circle x^(2) + y^(2) =4. whe...

    Text Solution

    |

  9. From P(-4,0) tangents PA, PA' are draw to circle x^(2) + y^(2) =4. whe...

    Text Solution

    |

  10. From P(-4,0) tangents PA, PA' are draw to circle x^(2) + y^(2) =4. whe...

    Text Solution

    |

  11. DeltaABC is given in adjacent diagram. P is mid-point of AC and Q is f...

    Text Solution

    |

  12. DeltaABC is given in adjacent diagram. P is mid-point of AC and Q is f...

    Text Solution

    |

  13. DeltaABC is given in adjacent diagram. P is mid-point of AC and Q is f...

    Text Solution

    |

  14. Let 2(1+x^(3))^(100)=sum(r=0)^(300) {a(r)x^(r)-cos.(rpi)/(2)},"if"sum(...

    Text Solution

    |

  15. Let N=alphaalphaalphaalphaalphaalpha be a 6 digit number (all digit re...

    Text Solution

    |

  16. If ngt3, then ((n-1),(1))(a-1)^(2)-((n-1),(2))(a-2)^(2)+((n-1),(3))(a...

    Text Solution

    |

  17. If the papers of 4 students randomly distributed for checking among 7 ...

    Text Solution

    |

  18. If alpha,beta are the roots of the equation x^(2)+4x+p=0, where =Sigma...

    Text Solution

    |