Home
Class 12
MATHS
The lengths of the sides of an isosceles...

The lengths of the sides of an isosceles triangle are `9+x^2,9+x^2` and `18-2x^2` units. Calculate the area of the triangle in terms of x and find the value of x which makes the area maximum.

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

If the area of the triangle with vertices x,0,1,1 and 0,2 1, 4 sq units,then the value of x is :

The equations of three sides of a triangle are x=5,y-2-0 and x+y=9. The coordinates of the circumcentre of the triangle are

If an isosceles triangle has 2 sides of length 2, then the maximum possible area of the triangle,is

If an isosceles triangle has two sides of length 2,then the maximum possible area of the triangle,is

If an isosceles triangle has two sides of length 2,then the maximum possible area of the triangle,is

The sides of a triangle are given by x-2y+9=0, 3x+y-22=0 and x+5y+2=0 . Find the vertices of the triangle.

The sides of a triangle are x,y and z .if x+y=7,y+z=9 and z+x=8. then find the area of the triangle.

The length of the base of an isosceles triangle is 2x - 2y + 4z , and its perimeter is 4x + 6z . Then the length of each of the equal sides is

Find the area of the triangle formed by the lines y=x,y=2x,y=3x+4

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using the method of integration, find the area of the region bounde...

    Text Solution

    |

  2. Find the mean number of heads in three tosses of a fair coin.

    Text Solution

    |

  3. The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...

    Text Solution

    |

  4. If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ h...

    Text Solution

    |

  5. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

    Text Solution

    |

  6. Find the coordinates of the point where the line through (3, –4, –5...

    Text Solution

    |

  7. Show that the function f(x)=|x-3|,\ x in \ |R , is continuous but n...

    Text Solution

    |

  8. If A=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^(-1). Using A^(-1) solve the...

    Text Solution

    |

  9. Find the shortest distance between the following pair of lines and ...

    Text Solution

    |

  10. Let vec a= hat i-\ hat j ,\ vec b=3 hat j-\ hat k and vec c=7 hat...

    Text Solution

    |

  11. A factory makes two types of items A and B, made of plywood. ...

    Text Solution

    |

  12. An experiment succeeds twice as often as it fails. Find the probabi...

    Text Solution

    |

  13. Assume that the chances of a patient having a heart attack is 40%. ...

    Text Solution

    |

  14. If x=asint\ and y=a(cost+logtant/2) , find (d^2\ y)/(dx^2)

    Text Solution

    |

  15. A manufacturer produces nuts and bolts. It takes 1 hour of work on ...

    Text Solution

    |

  16. Of the students in a college, it is known that 60% reside in hostel...

    Text Solution

    |

  17. Using the method of integration, find the area of the region bounde...

    Text Solution

    |

  18. Using properties of determinants, prove that |(b+c,q+r,y+z),(c+a,r+p,z...

    Text Solution

    |

  19. Find the equation of the plane determined by the points A(3, –1, 2)...

    Text Solution

    |

  20. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

    Text Solution

    |