Home
Class 12
MATHS
If the given equation: |x^2-2x-3|=m has ...

If the given equation: `|x^2-2x-3|=m` has two solutions, then a.`m in [4,oo)` b. `m in (-1,oo)` c. `m in (4,oo)uu{0}` d. `m=0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP|Exercise All Questions|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If the given equation: |x^2-2x-3|=m has three solutions, then a. m in (0,oo) b. m in "{"4"]" c. m in (0,4) d. m in (-1,3)

cosider the equation |x^(2)-2x-3|=mm in R If the given equation has four solutions,then a.m in(0,oo) b.m in(-1,3) c.m in(0,4) d.None of these

If the equation x^(2)-(2+m)x+(m2-4m+4)=0 has coincident roots,then

The quadratic equation (a+3)x^(2)-ax+1=0 has two distinct real solutions a) for a in(-2,6) b) for a in(-oo,0)uu(7,oo) c) for a in(-oo,-2)uu(6,oo)-{-3} d) for a in(0,7)

The range of a for which the equation x^(2)+ax-4=0 has its smaller root in the interval (-1,2)is(-oo,-3) b.(0,3) c.(0,oo) d.(-oo,-3)uu(0,oo)

For x^(2)-(a+3)|x|=4=0 to have real solutions,the range of a is (-oo,-7]uu[1,oo)(-3,oo)(-oo,-7][1,oo)

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)

If b>a, then the equation (x-a)(x-b)-1=0 has (2000,1M) both roots in (a,b) both roots in (-oo,a) both roots in (b,+oo) one root in (-oo,a) and the other in (b,oo)

RESONANCE DPP-BOARD PAPER SOLUTIONS-All Questions
  1. In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a...

    Text Solution

    |

  2. Cosider the equation |x^2-2x-3|=m , m in R If the given equation has f...

    Text Solution

    |

  3. If the given equation: |x^2-2x-3|=m has two solutions, then a.m in [4...

    Text Solution

    |

  4. If the given equation: |x^2-2x-3|=m has three solutions, then a. m i...

    Text Solution

    |

  5. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

  6. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |

  7. Draw graph of y=|3x-5|

    Text Solution

    |

  8. The number of integral value(s) of x satisfying the equation |x^4 .3^...

    Text Solution

    |

  9. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |

  10. If ln^2x+3ln x-4 is non negative, then x must lie in the interval: ...

    Text Solution

    |

  11. If log2, log (2^x-1) and log(2^x+3) are in A.P., then x is equal to

    Text Solution

    |

  12. The n^(t h) term of the sequence 5+55+555+... is 5xx10^(n-1) b. 5x...

    Text Solution

    |

  13. 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

    |

  14. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

    Text Solution

    |

  15. Sum of an infinitely many terms of a G.P. is 3 times the sum of even ...

    Text Solution

    |

  16. If A={3,4,6},B={1,3} andC={1,2,6} then find (A-B)xx(A-C).

    Text Solution

    |

  17. Draw graph of y=|3x-5| b. y=|2x+1|

    Text Solution

    |

  18. The set of all values of ' a ' for which the quadratic equation 3x^2+...

    Text Solution

    |

  19. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  20. Solve the following |(x^2+2x+2)+(3x+7)|<|x^2+2x+2|+|3x+7|

    Text Solution

    |