Home
Class 12
MATHS
If PQ and PR are the two sides of a tria...

If PQ and PR are the two sides of a triangle, then the angle between them which gives maximum area of the triangle is

A

`pi`

B

`pi/3`

C

`pi/4`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If the lengths of the sides of a triangle are 3,5,7 , then the largest angle of the triangle is

If A is the area and 2s the sum of three sides of a triangle, then

The sides of a triangle are 6+sqrt(12),sqrt(48) and sqrt(24) . The tangent of the smallest angle of the triangle is

If one of the sides and any other part (either an acute angle or any side) of a right angle triangle is known, the remaining sides and angles of the triangle can be determined. Do you agree? Explain with an example.

The sides of two triangles are in the ratio 2 : 3 . Then their areas are in the ratio :

The sides of a triangle are in the ratio 1 : sqrt(3) : 2 , then angles of the triangle are in the ratio

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

If the angles of a triangle are in the ratio 3:4:5 , then the sides are in the ratio

If the angles of a triangle are in the ratio 1 : 2 : 3 , then the sides are in the ratio :

The equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of the triangles on the other two sides. OR In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. In the interval (-3,3) the function f(x) = x/3 + 3/x, x ne 0 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If a^(2)x^(4) + b^(2)y^(4) = c^(6), then maximum value of xy is

    Text Solution

    |

  11. If f(x) = 1/(4x^(2)+2x+1), then its maximum value

    Text Solution

    |

  12. Let f(x)=(x)/(1+x)-log(1+x), when x gt 0, then f is :

    Text Solution

    |

  13. If f(x) = x^(3)-6x^(2)+9x+3 be a decreasing function, then x lies in

    Text Solution

    |

  14. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

  15. The function f(x) = (log x)/(x) is increasing in the interval

    Text Solution

    |

  16. 2x^(3)-6x+5 is an increasing function, if

    Text Solution

    |

  17. If x-2y = 4, then the minimum value of xy is

    Text Solution

    |

  18. The minimum vallue of f(x) = sin^(4)x + cos^(4)x, 0 le x le pi/2 is

    Text Solution

    |

  19. If ab = 2a + 3b, a gt 0, b gt 0, then the minimum value of ab is

    Text Solution

    |

  20. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |