Home
Class 12
MATHS
If a = sqrt((7+4sqrt3)/(7-4sqrt3)) then ...

If `a = sqrt((7+4sqrt3)/(7-4sqrt3))` then the value of `[a(a-14)]^2` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a=sqrt((7+4sqrt(3))/(7-4sqrt(3))) then the value of [a(a-14)]^(2) is

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

If a = sqrt(7 + 4sqrt(3)) , then what is the value of a + 1/a ?

If (5+2sqrt3)/(7+4sqrt3)=a+bsqrt3 , then the value of a and b is

If x = 7 + 4 sqrt(3) , y = 7 - 4 sqrt(3) , find the value of (1)/(x^(2)) + (1)/(y^(2)) .

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1 b.0 c.2 d.4

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1(b)0(c)2 (d) 4

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)

RESONANCE DPP-JEE MAINS-All Questions
  1. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

    Text Solution

    |

  2. The negation of the compound proposition p vv ( ~ p vv q) is

    Text Solution

    |

  3. If a = sqrt((7+4sqrt3)/(7-4sqrt3)) then the value of [a(a-14)]^2 is

    Text Solution

    |

  4. Let cos^-1(4 x^3-3 x)=a+b cos^-1 x If x in [-1/2,-1], then a+b pi=

    Text Solution

    |

  5. A set of n values x(1),x(2),……,x(n) has standard deviation sigma. What...

    Text Solution

    |

  6. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

    Text Solution

    |

  7. Solve the equation 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

    Text Solution

    |

  8. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  9. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

    Text Solution

    |

  10. If alpha and beta are the roots of the quadratic equation x^(2) - 4...

    Text Solution

    |

  11. Let f(x) =x^2+ ax + b cos x, a being an integer and b is a real numbe...

    Text Solution

    |

  12. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base oflog\ is a

    Text Solution

    |

  13. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  14. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

    Text Solution

    |

  15. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

    Text Solution

    |

  16. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

    Text Solution

    |

  17. The function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the co...

    Text Solution

    |

  18. Let f(x) be a differentiable function such that f(x)=x^2 +int0^x e^-t ...

    Text Solution

    |

  19. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  20. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |