Home
Class 12
MATHS
If y=log(7-a)(2x^(2)+2x+a3)"is defined"A...

If `y=log_(7-a)(2x^(2)+2x+a3)"is defined"AAx inR,` then possible integral value (s) of a is/are

A

`-3`

B

`-2`

C

4

D

5

Text Solution

Verified by Experts

For `log_(7-a)(2x^(2)+2x+a+3)`
`{:(2x^(2)+2x+a+3gt0, and, 7-agt0","7-a ne1),(thereforeDlt0,,),(implies4-4(2)(a+3)lt0,and,alt7","a ne8):}`
`implies1-2(a+3)lt0`
`implies2(a+3)gt1`
`impliesa+3gt1/2`
`impliesa gt-5/2`
`therefore-5/2ltalt7" ""]"`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise Physics, SECTION-1 (PART-A)|5 Videos

  • TEST PAPERS

    BANSAL|Exercise Physics, SECTION-1 (PART-A) [COMPREHENSION TYPE]|2 Videos

  • TEST PAPERS

    BANSAL|Exercise Math|15 Videos

  • PROBABILITY

    BANSAL|Exercise All Questions|1 Videos

  • THERMODYNAMICS

    BANSAL|Exercise Match the column|7 Videos

Similar Questions

Explore conceptually related problems

If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solution for x, then possible integral value of a is:

If log_(7)x+log_(7) y ge 2 , then the smallest possible integral value of x + y (given x ne y ) is ______.

log_(2)(8x-x^(2)-7)=log_(2)(x^(4)-12x^(3)+40x^(2)-34x-7), then possible values of x is/are

If x is real then possible integral value of y such that x^(2)+y^(2)-4y+3=0, can be

sqrt(log_(4){log_(3)(log_(2)(x^(2)-2x+a))}) defined for all x in R then st of values of a:

If x=(4)/(9) satisfies the equation log_(a)(x^(2)-x+2)>log_(a)(-x^(2)+2x+3) then the sum of all possible distinct values of [x] is (where [.] represetns the greatest integer function) =

If exactly one root of the equation x^(2)-2kx+k^(2)-1=0 satisfies the inequality log_(sqrt(3))(2-x)<=0 then find sum of all possible integral values of k

Leg f(x)=log(log_(1/3)(log_((1)/(3))(log_(7)(sin x+a)))) be defined for every real value of x, then the possible value of a is 3 (b) 4(c)5(d)6

BANSAL-TEST PAPERS-MATHS
  1. The equation (log)(x^2)\ 16 + (log)(2x)64=3\ h a s one irrational ...

    Text Solution

    |

  2. If A=sum(r=7)^(2400)log(7)((r+1)/(r))," "B=prod(r=2)^(1023) log(r)(t+...

    Text Solution

    |

  3. If y=log(7-a)(2x^(2)+2x+a3)"is defined"AAx inR, then possible integral...

    Text Solution

    |

  4. Match the following Column I to Column II

    Text Solution

    |

  5. Match the following Column I to Column II

    Text Solution

    |

  6. If (n,theta)=prod(n=1)^(n)((1+tan^(2)(2""^(n)theta))/((1-tan^(2)(2""^(...

    Text Solution

    |

  7. Find the number of integral solution of the equation (log)(sqrt(x))...

    Text Solution

    |

  8. Find the number of integral ordered pairs (x,y) satisfying the equatio...

    Text Solution

    |

  9. If sin beta=sin(2alpha+beta) then find the value of (cotalpha+cot(alph...

    Text Solution

    |

  10. If a = log245 175 and b = log1715 875, then the value of (1-ab)/(a-b) ...

    Text Solution

    |

  11. If P=x+1/x and P(tan alpha)=2, P(tan beta)=2sqrt2, P(cot gamma)=4 wher...

    Text Solution

    |

  12. A die is rolled thrice, find the probability of getting a larger nu...

    Text Solution

    |

  13. The value of Sigma(i=1)^(6) (sin .(2pik)/(7)-i cos .(2pik)/(7))

    Text Solution

    |

  14. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  15. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

    Text Solution

    |

  16. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

    Text Solution

    |

  17. If A and B are two independent events such that P(A)=(1)/(2) and P(B)=...

    Text Solution

    |

  18. If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2, then the locus of z is

    Text Solution

    |

  19. Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the p...

    Text Solution

    |

  20. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |