Home
Class 12
MATHS
(i) The value of x + y + z is 15. If a, ...

(i) The value of `x + y + z` is 15. If a, x, y, z, b are in AP while the value of `(1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3)`. If a, x, y, z b are in HP, then find a and b
(ii) If x,y,z are in HP, then show that
log `(x +z) + log (x +z -2y) = 2 log ( x -z)`.

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 x, y, z are in H.P., then the value of (x+y)/(y-x)+(y+z)/(y-z) is

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=

x+y+z=15 if 9, x, y, z, a are in A.P. while (1)/(X)+(1)/(Y)+(1)/(Z)=(5)/(3)if9,X, Y, Z, a are in H.P., then the value of a will be -

If a,x,b are in H.P. And a,y,z,b are in G.P.,then the value of (yz)/(x(y^3+z^3)) is

If a,x,y,z,b are in AP then x+y+z=15 and if a,x,y,z,b are in HP.then (1)/(x)+(1)/(y)+(1)/(z)=(5)/(3). Numbers a,b are

a, b, x are in AP, a, b, y are in GP and a, b, z are in HP, then prove that 4z(x-y)(y-z)=y(x-z)^2 .

RESONANCE DPP-JEE MAINS-All Questions
  1. If a x^2+b x=6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  2. Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {...

    Text Solution

    |

  3. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  4. (lim)(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

    Text Solution

    |

  5. Is 184 a term of the sequence 3,7,11, ... ?

    Text Solution

    |

  6. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

    Text Solution

    |

  7. Consider the equation sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2),...

    Text Solution

    |

  8. Let I=int0^(10pi) (cos6xcos7xcos8xcos9x)/(1+e^(2sin^3 4x))dx Now answ...

    Text Solution

    |

  9. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  10. If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...

    Text Solution

    |

  11. The value of sum(r=1)^oocot^(- 1)((r^2)/2+15/8) is equal to

    Text Solution

    |

  12. cos^2 73+cos^2 47-sin^2 43+sin^2107

    Text Solution

    |

  13. Ifthe area bounded by the curve y=|cos^-1(sinx)|-|sin^-1(cos x)| and ...

    Text Solution

    |

  14. If the value of definite integral int1^a x*a^-[log a x]dx, where a ...

    Text Solution

    |

  15. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dxa n dK=int(-2)^(-1)(6-6x+x^2) t...

    Text Solution

    |

  16. (1^4)/1.3+(2^4)/3.5+(3^4)/5.7+......+n^4/((2n-1)(2n+1))=(n(4n^2+6n+5))...

    Text Solution

    |

  17. Let C be a curve passing through M(2,2) such that the slope of the tan...

    Text Solution

    |

  18. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2)...

    Text Solution

    |

  19. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

    Text Solution

    |

  20. The value of 2^(2010)(int0 1x^(1004)(1-x)^(1004)dx)/(int0 1x^(1004)(1...

    Text Solution

    |