Home
Class 10
MATHS
If x = ( sqrt( a + 1) + sqrt( a - 1))/(s...

If x `= ( sqrt( a + 1) + sqrt( a - 1))/(sqrt( a + 1) - sqrt( a - 1)) ` then using properties of proportion ` x^(2) - 2 ax + 1 = `

A

a

B

1

C

0

D

2a

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 1

    ICSE|Exercise QUESTIONS |33 Videos

  • RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)

    ICSE|Exercise QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

If x=(sqrt(a+1)+sqrt(a-1))/(sqrt(a+1)-sqrt(a-1)) , using properties of proportion show that x^(2)-2ax+1=0

If x=(sqrt(2a+1)+sqrt(2a-1))/(sqrt(2a+1)-sqrt(2a-1)) , prove that x^(2)-4ax+1=0

y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy/dx

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

lim_(xrarr0) (sqrt(1+x^2)- sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

If x=(1)/(sqrt(3)+sqrt(2)) . Then find (1)/(x) .

If y = sec^(-1) (sqrt(x+1)/(sqrt(x-1)))+ sin^(-1)(sqrt(x-1)/(sqrt(x+1))) then (dy)/(dx) =

ICSE-RATIO AND PROPORTION-MULTIPLE CHOICE QUESTION
  1. If (sqrt( 3 x + 4 ) + sqrt( 3 x - 5))/(sqrt( 3 x + 4) - sqrt( 3 x - 5...

    Text Solution

    |

  2. If 6 is the mean proportion between the two numbers x and y, and 48 is...

    Text Solution

    |

  3. If x = ( sqrt( a + 1) + sqrt( a - 1))/(sqrt( a + 1) - sqrt( a - 1)) t...

    Text Solution

    |

  4. The number that must be added to each of the numbers 6, 15, 20 and 43 ...

    Text Solution

    |

  5. If x:50 = 3:2, then value of x is. .................

    Text Solution

    |

  6. The fourth proportional to (1)/(3), (1)/(4) and (1)/(5) is …………

    Text Solution

    |

  7. If x+3 is the mean proportion between X+2 and x +9, then the value of ...

    Text Solution

    |

  8. If ( sqrt(5 x) + sqrt(2 x - 6))/( sqrt(5 x) - sqrt( 2 x - 6)) = 4 th...

    Text Solution

    |

  9. If the mean proportion between two numbers is 4 and the third proporti...

    Text Solution

    |

  10. If (x - 2), (x + 2), (2x + 1) and (2x + 19) are in proportion, then th...

    Text Solution

    |

  11. Assertion : The number that must be subtracted from each of the number...

    Text Solution

    |

  12. Assertion : If y is the mean proportion between x and z then xyz ( y...

    Text Solution

    |

  13. Assertion : If (x)/(a) = (y)/(b) = (z)/ (c ) then ( x^(3))/( a^(3))...

    Text Solution

    |

  14. Assertion : If (4a +56) (4c-5d) (4a - 5b) (4c +5d), then a, b, d are i...

    Text Solution

    |

  15. Assertion : If ( x^(3) + 3xy ^(2))/( y^(3) + 3 x^(2) y) = (63)/(62) ,...

    Text Solution

    |

  16. Assertion : Let a :b be the duplicate ratio of a + c and b + c. Then b...

    Text Solution

    |

  17. To teach the chapter ratio and proportion in a class, the teacher aske...

    Text Solution

    |

  18. To teach the chapter ratio and proportion in a class, the teacher aske...

    Text Solution

    |

  19. To teach the chapter ratio and proportion in a class, the teacher aske...

    Text Solution

    |

  20. To teach the chapter ratio and proportion in a class, the teacher aske...

    Text Solution

    |