Home
Class 12
MATHS
If the terms of the A.P. sqrt(a-x),sqrt(...

If the terms of the A.P. `sqrt(a-x),sqrt(x),sqrt(a+x)` are all in integers, `w h e r ea ,x >0,` then find the least composite value of `adot`

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 the terms of the A.P.sqrt(a-x),sqrt(x),sqrt(a+x) are all in integers,where a,x>0, then find the least composite value of a .

If the terms of G.P. sqrt(a-x),sqrt(x),sqrt(a+x) .. are all in integers where agto then the least composite odd integral value of a is

For a,x,>0 prove tht at most one term of the G.P.sqrt(a-x),sqrt(x),sqrt(a+x) can be rational.

The value of int(e^(sqrt(x)))/(sqrt(x))(sqrt(x)+x)dx is equal to

If x=2, then the value of x+sqrt(x+sqrt(x+sqrt(x+......))) is

If sqrt(x)-sqrt(12)=sqrt(4)-sqrt(x) , then find x .

Differentiate w.r.t. x: 1/sqrt(2)[sqrt(x+y)+sqrt(x-y)]

find x: (sqrt(p+x)+sqrt(p-x))/(sqrt(p+x)-sqrt(p-x))=5

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of ways of seven digit number with distinct digits of the f...

    Text Solution

    |

  2. (b) Given log 2 =0.3010, log 3=0.4771, find thevalue of ((16)^(1/5) *5...

    Text Solution

    |

  3. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

    Text Solution

    |

  4. The value of the expression, (log)4((x^2)/4)-2(log)4(4x^4)w h e nx=-2 ...

    Text Solution

    |

  5. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

    Text Solution

    |

  6. If x=(log)k b=(log)b c=1/2(log)c d ,t h e n(log)k d is equal to 6x b. ...

    Text Solution

    |

  7. General solution for |sinx|=cosx is 2npi+pi/4,\ n in I (b) 2npi+-pi/4...

    Text Solution

    |

  8. The number of solution of the equation, log(-2x)=2"log"(x+1) is a. zer...

    Text Solution

    |

  9. Distance of point P(-2,3,4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5 me...

    Text Solution

    |

  10. The number of real solutions of equation x^((log)x2)+x^2=3x is 2 b. 1 ...

    Text Solution

    |

  11. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  12. A function f from integers to integers is defined as f(x)={(n+3, n "is...

    Text Solution

    |

  13. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

  14. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  15. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  16. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: 1 (b) 2 ...

    Text Solution

    |

  17. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  18. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  19. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  20. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |