Home
Class 12
MATHS
A triangular park is enclosed on two sid...

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. Two having fence are of same length x. The maximum area enclosed by the park is :-

A

`sqrt(x^(3))/(8)`

B

`1/2 x^(2)`

C

`pi x^(2)`

D

`3/2 x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Name the quadrilateral formed in which two parallel of adjacent sides are of the same length.

Two sides of a triangle are x and y. Find the angle between them such that area shall be maximum.

Two sides of a triangle are a and b. Find the angle between them such that area shall be maximum

Two sides of a triangle are of lenghts 5 cm and 1.5 cm. the length of the third side of the cannot be

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let alpha and beta be non-zero real numbers such that 2 ( cos beta -...

    Text Solution

    |

  2. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  3. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  4. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  5. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

  6. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  7. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  8. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  9. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  10. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  11. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

    Text Solution

    |

  12. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  13. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  14. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  15. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  16. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  17. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  18. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |