Home
Class 12
MATHS
Value of the parameter ' a ' such that ...

Value of the parameter `' a '` such that the area bounded by `y=a^2x^2+a x+1,` coordinate axes and the line `x=1,` attains its least value, is equal to a.`-1/4` b. `-1/2` c. `-3/4` d. `-1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The value of the parameter a such that the area bounded by y=a^(2)x^(2)+ax+1, coordinate axes, and the line x=1 attains its least value is equal to

The value of the parameter a such that the area bounded by y=a^2x^2+a x+1, coordinate axes, and the line x=1 attains its least value is equal to 1/4s qdotu n i t s (b) 1/2s qdotu n i t s 3/4s qdotu n i t s (d) -1s qdotu n i t s

The value of a such that the area bounded by the curve y=x^(2)+2ax+3a^(2) , the coordinate axes and the line x=1 . The coordinate axes and the line x=1 . Attains its least value is equal to

The value of positive real parameter 'a' such that area of region blunded by parabolas y=x -ax ^(2), ay = x ^(2) attains its maximum value is equal to :

Area bounded by (y-2)^2=x-1, x-2y+4=0 and positive coordinate axis, is

For what value of 'a' is the area bounded by the curve y=a^(2)x^(2)+ax+1 and the straight line y=0.x=0 and x=1 the least?

The area of the region bounded by the lines y=2x+1y=3x+1 and x=4 is

Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the lines x = 1 and y = 4a, is

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of 15th roots of unity which are also the 25th root of u...

    Text Solution

    |

  2. The length of the transverse axis of the hyperbola 9x^(2)-16y^(2)-18x ...

    Text Solution

    |

  3. Value of the parameter ' a ' such that the area bounded by y=a^2x^2+a...

    Text Solution

    |

  4. v20.1

    Text Solution

    |

  5. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  6. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  7. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

    Text Solution

    |

  8. If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 repr...

    Text Solution

    |

  9. If x1, x2& x3 are three distinct numbers which satisfy the relation ...

    Text Solution

    |

  10. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  11. int(sinxcosx)/(sqrt(1-sin^4x)).dx

    Text Solution

    |

  12. Let C be the centre, BCB the minor axis and S the focus (ae, 0) for ...

    Text Solution

    |

  13. If a^3+b^3+6a b c=8c^3&omega is a cube root of unity then: a , b...

    Text Solution

    |

  14. If x^2+a x+10=0a n dx^2+b x-10=0 have common root, then a^2-b^2 i...

    Text Solution

    |

  15. A person standing on the bank of a river observes that the angle of el...

    Text Solution

    |

  16. The upper 3/4 th portion of a vertical pole subtends an angle theta su...

    Text Solution

    |

  17. From the top of a cliff 25 m high the angle of elevation of a tower...

    Text Solution

    |

  18. The angles of elevation of the top of a tower from two points at di...

    Text Solution

    |

  19. Differentiate tan^(-1)((1+2x)/(1-2x))wdotrdottsqrt(1+4x^2) tan^(-1)...

    Text Solution

    |

  20. A fair coin is tossed repeatedly. If tail appears on first four tosses...

    Text Solution

    |