Home
Class 11
MATHS
The number of real solutions of |x|+2sqr...

The number of real solutions of `|x|+2sqrt(5-4x-x^2)=16` is/are a. 6 b. 1 c. 0 d. 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

The number of real solutions of |2x-x^2-3|=1 is (a) 0 (b) 2 (c) 3 (d) 4

Number of real solutions of the equation x^2+(x/(x-1))^2=8 are a. 3 b. 4 c. 6 d. 0

The number of real solutions of sqrt(x^2-4x+3)+sqrt(x^2-9)=sqrt(4x^2-14x+6)

Number of real solutions of sqrt(2x-4)-sqrt(x+5)=1 is (a) 0 (b) 1 (c) 2 (d) infinite

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

The number of real solutions of the equation e^(|x|)-|x|=0 , is A. o B. 1 c. 2 D. None of these.

The number of real solutions of the equation x^(2)+5|x|+4=0 are A) 4 B) 2 C) 1 D) 0

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is (a) 0 (b) 1 (c) 2 (d) infinite

The number of solution of the equation 2[x] = x + 1 + {x} is/are a. 1 b. 2 c. 0 d. 4

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...

    Text Solution

    |

  2. omega is an imaginary root of unity. Prove that (a+bomega+comega^2)^3+...

    Text Solution

    |

  3. The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 ...

    Text Solution

    |

  4. If |z-1| + |z + 3| le 8, then prove that z lies on the circle.

    Text Solution

    |

  5. If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...

    Text Solution

    |

  6. If the quadratic equation a x^2+b x+6=0 does not have real roots and b...

    Text Solution

    |

  7. If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...

    Text Solution

    |

  8. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt(...

    Text Solution

    |

  9. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

    Text Solution

    |

  10. Find the locus of point z if z , i ,and iz , are collinear.

    Text Solution

    |

  11. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

    Text Solution

    |

  12. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

    Text Solution

    |

  13. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

    Text Solution

    |

  14. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |

  15. Find the largest natural number a for which the maximum value of f(x)=...

    Text Solution

    |

  16. In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2...

    Text Solution

    |

  17. If omega is a complex nth root of unity, then sum(r=1)^n(ar+b)omega^(r...

    Text Solution

    |

  18. Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...

    Text Solution

    |

  19. If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2) , then prove that z1, z2, z3...

    Text Solution

    |

  20. If |z1/z2|=1 and arg (z1z2)=0 , then a. z1 = z2 b. |z2|^2 = z1*z2 ...

    Text Solution

    |