Home
Class 12
MATHS
If (sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^...

If `(sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))=3 ` then x=

A

`sqrt(2//3)`

B

`sqrt(1//3)`

C

`sqrt(2/5)`

D

`sqrt(3//5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) then prove that x^(2) = sin 2alpha .

If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))) then find dy/dx .

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

int_(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x+x^(2)))dx=

int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=

Find Lt_(xto0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. Solve 2(x+(1)/(x))^(2)-7(x+(1)/(x))+5=0," when "x ne 0

    Text Solution

    |

  2. Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

    Text Solution

    |

  3. If (sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))=3 then x=

    Text Solution

    |

  4. IF (x+sqrt(12a-x))/(x-sqrt(12a-x))=(sqrt(a)+1)/((sqrt(a)-1) , then x...

    Text Solution

    |

  5. IF sqrt((x)/(1-x))+sqrt((1-x)/(x)) =2 (1)/(6) then x=

    Text Solution

    |

  6. sqrt((x)/(x-3))+sqrt((x-3)/(x))=(5)/(2)," when "x ne 0and x ne 3

    Text Solution

    |

  7. sqrt((3x)/(x+1))+sqrt((x+1)/(3x))=2," when "x ne 0and x ne -1

    Text Solution

    |

  8. If 2^x + 27 (2^(-x)) = 12 then x=

    Text Solution

    |

  9. If 3^(2x)-3^(x+1)- 3^(x-1) + 1=0 then x=

    Text Solution

    |

  10. Solve 7^(1+x)+7^(1-x)=50 for real x.

    Text Solution

    |

  11. IF e^((cos ^2 x + cos ^4 + cos ^6 x+ . . . ) log 3) satissfies y^...

    Text Solution

    |

  12. The equation x^((3//4))(log 2 x)^2 + log 2 x-5//4 = sqrt(2) ...

    Text Solution

    |

  13. The number of real of the equation (2x -3)/(x-1) +1 =(6x^2 -x-6)/(...

    Text Solution

    |

  14. The equation e^(sin x)-e^(-sin x)-4=0 has

    Text Solution

    |

  15. The number of solutions of the system of equation given below...

    Text Solution

    |

  16. The number of solution of the equation 9x^2-18|x|+5=0 belonging...

    Text Solution

    |

  17. The number of solutions of the equation 5^x + 5^(-x)= log (10) 25...

    Text Solution

    |

  18. IF the equation ax+by=1, cx ^2 +dy^2 =1 have only one solution ...

    Text Solution

    |

  19. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

    Text Solution

    |

  20. If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one ...

    Text Solution

    |