Home
Class 10
MATHS
If x - sqrt((sqrt5+1)/(sqrt5-1)), show t...

If `x - sqrt((sqrt5+1)/(sqrt5-1))`, show that `x^2-x-1=0`

Promotional Banner

Topper's Solved these Questions

  • Application of Trigonnometric Ratios : Heights of Distance

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • BEGUNKODAR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

If x= (sqrt5+1)/2 , show that x^2-x-1=0 .

If sqrt2x = sqrt((sqrt3 + 1)/(sqrt3 -1)) , then x^(2) -x = ______

(a) If x = (sqrt5 +1)/(sqrt5-1) then find the value of (x -1/x)

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

If y="cot"^(-1) (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)) , show that [(dy)/(dx)]_(x=(1)/(2))= -(1)/(sqrt(3)) .

If y sqrt(x^(2)+1)=log(sqrt(x^(2)+1)-x) , show that, (x^(2)+1)(dy)/(dx)+xy+1=0

If 2x = sqrt((a)/(b)) - sqrt((b)/(a)) , then show that (2a sqrt(1 + x^(2)))/(x + sqrt(1 + x^(2))) = a + b

If x = (sqrt5 -1)/(sqrt5 +1) and y (sqrt5 +1)/(sqrt5-1) then find the value of (x^(2)/y + y^(2)/x)

If 2x = sqrta+1/sqrta . Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

UNITED BOOK HOUSE-BARANAGAR RAMAKRISHAN MISSION HIGH SCHOOL-EXERCISE
  1. Solve: x/(x+1)+(x+1)/x = 2 1/12 (x!=0,-1)

    Text Solution

    |

  2. If the price of 1 dozen pin is reduced by 2 paisa, then 6 more pins wi...

    Text Solution

    |

  3. If x - sqrt((sqrt5+1)/(sqrt5-1)), show that x^2-x-1=0

    Text Solution

    |

  4. y is sum of two variables, one in which varies directly with x and ano...

    Text Solution

    |

  5. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

    Text Solution

    |

  6. If b/(a+b)= (a+c-b)/(b+c-a)=(a+b+c)/(2a+b+2c) where a+b-c !=0, show th...

    Text Solution

    |

  7. Answer any one question : Prove that angles in the same segment of a c...

    Text Solution

    |

  8. State and prove the convere of the Pythagoras theorem.

    Text Solution

    |

  9. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

    Text Solution

    |

  10. In a isosceles triangle ABC , angleB is right angle. Bisector of angle...

    Text Solution

    |

  11. Draw a triangle ABC whose BC = 5cm, BA = 5.5 cm and angleABC = 70^@ dr...

    Text Solution

    |

  12. Geometrically find the value of sqrt(24).

    Text Solution

    |

  13. Difference between two acute angles of the right angled triangled is (...

    Text Solution

    |

  14. In triangleXYZ, angleY = 90^@. If XY = 2sqrt3 unit and XZ-YZ = 2 unit...

    Text Solution

    |

  15. If angleA+angleB = 90^@, show that 1+(tan A)/(tan B) = sec^2B tan^2A.

    Text Solution

    |

  16. The heigths of two towers are 180 metres and 60 metres respectively. I...

    Text Solution

    |

  17. The length of shadow of a tower standing on the ground is found to be...

    Text Solution

    |

  18. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

    Text Solution

    |

  19. Two parallel planes which are parallel to the base of a right circular...

    Text Solution

    |

  20. The length of radius of a right circular cylinder is increased by 50%....

    Text Solution

    |