Home
Class 12
MATHS
The number of solutions of the equation ...

The number of solutions of the equation
`sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5)` is

A

`0`

B

`1`

C

`2`

D

more than 2

Text Solution

Verified by Experts

The correct Answer is:
C
The number of solutions ………..
`|x|-|x-1|+|x-2|= sqrt(5)`
(2 solution)
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS|9 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

The number of irrational solutions of the equation sqrt(x^(2)+sqrt(x^(2)+11))+sqrt(x^(2)-sqrt(x^(2)+11))=4 , is

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4

The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+cos^(-1)sqrt((x^(2)-x))=pi is :

Find number of solutions of the equation sqrt((x+8)+2sqrt(x+7))+sqrt((x+1)-sqrt(x+7))=4

The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))/(sqrt(1+x^(4)-x^(2)))=1+cosx , is

The number of real solutions the equation sqrt(x+14-8sqrt(x-2))+sqrt(x+23-10sqrt(x-2))=3 are

The number of real solution(s) of the equation sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=pi is/are

The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2)-4x^(2)) is

The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2)^(x/2) is

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+...

    Text Solution

    |

  2. The least positive vlaue of the parameter 'a' for which there exist at...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...

    Text Solution

    |

  15. The sum of the roots of the equation tan^(-1)(x+3)-tan^(-1)(x-3)="sin"...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5, find all the points at which the tangents p...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y + b = m(1)(x + a) and y + b = m(2)(x+a) are two tangents to the p...

    Text Solution

    |