Home
Class 12
MATHS
If l^(2) + m^(2) =1, then the maximum va...

If `l^(2) + m^(2) =1`, then the maximum value of l+m is

A

1

B

`sqrt2`

C

`1/sqrt2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

Write the values of l and m for p-orbitals

For a f-orbital the values of m_l are

The straight lines , l_1,l_2 and l_3 are parallel and lie in the same plane . A total number of m points are taken on l : n points on l_2 k points on l_3 The maximum number of triangle formed with vertices at these points is :

The straight lines , l_1,l_2 and l_3 are parallel and lie in the same plane . A total number of m points are taken on l : n points on l_2 k points on l_3 The maximum number of triangle formed with vertices at these points is :

Let L be the set of all straight lines in the Euclidean plane. Two lines l_(1)" and "l_(2) are said to be related by the relation R" iff "l_(1) || l_(2) . Then the relation R is :

For each value of l, the number of m value is

The direction cosines l, m, n of two lines are connected by the relation l+m+n=0 and l . m=0 then the angle between them is

If l || m, then solve for ‘x’ and give reasons.

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If x and y are strictly positive such that x+y =1, then the minimum va...

    Text Solution

    |

  2. If x+y = 12, then the minimum value of x^(2) + y^(2) is

    Text Solution

    |

  3. If l^(2) + m^(2) =1, then the maximum value of l+m is

    Text Solution

    |

  4. The minimum value of x^(x) is

    Text Solution

    |

  5. The maximum value of xy subjects to x+y =7 is

    Text Solution

    |

  6. The minimum value of (x- alpha)(x-beta) is

    Text Solution

    |

  7. Show that y = log(1 +x) - (2x)/(2 + 2x) , x gt -1, is an increasing fu...

    Text Solution

    |

  8. The function f(x) = xe^(-x) (x in R) attains a maximum value at x =

    Text Solution

    |

  9. Observe the following statements: A : f(x) = 2x^(3)-9x^(2)+12x-3 is in...

    Text Solution

    |

  10. If x is real then the minimum value of (x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  11. The perimeter of a sector is a constant . If its area is to be maximum...

    Text Solution

    |

  12. In the interval (-3,3) the function f(x) = x/3 + 3/x, x ne 0 is

    Text Solution

    |

  13. The function f(x) = 1-x^(3)-x^(5) is decreasing for

    Text Solution

    |

  14. If PQ and PR are the two sides of a triangle, then the angle between t...

    Text Solution

    |

  15. The function y = a(1-cosx) is maximum when x is equal to

    Text Solution

    |

  16. Twenty metres are available to fence a flower bed in the form of a cir...

    Text Solution

    |

  17. The function f(x) = tan^(-1) (sin x + cos x), x gt 0 is always an incr...

    Text Solution

    |

  18. The maximum value of xy, when x+2y = 8 is

    Text Solution

    |

  19. The denominator of a fraction is greater them 16 of the square of nume...

    Text Solution

    |

  20. If xy = c^(2), then minimum value of ax + by is

    Text Solution

    |