Home
Class 12
MATHS
Let f(x)=2x+1. Then the number of real n...

Let `f(x)=2x+1.` Then the number of real number of real values of `x` for which the three unequal numbers `f(x),f(2x),f(4x)` are in G.P. is `1` b. `2` c. `0` d. none of these

A

1

B

2

C

0

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (TRUE AND FALSE) |2 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (FILL IN THE BLANKS) |3 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 1 (FILL IN THE BLANKS) |4 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

If f(x) = x +1//2 Then. The number of real values of x for which the three unequal terms f(x) , f(2x) and f(4x) are in HP is

Let f(x)=a^(x)-x ln a,a>1. Then the complete set of real values of x for which f'(x)>0 is

Let f(x)=x^(2)+kx;k is a real number.The set of values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.

Let f(x)= (2x)/(2x^2+5x+2) and g(x)=1/(x+1) . Find the set of real values of x for which f(x) gt g(x) .

If f(x)=|x|-2|-2 for x in[-4,4] then the number of real solutions of f(f(x))=-1 is

LEt f(x)=2^(100)x+1 and g(x)=3^(100)x+1 Then the set of real numbers x such that f(g(x))=x is

Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then The value of x=S_(p) for which f(x) is minimum, is

Find the number of distinct real solutions of the equation f(f(x))=0, where f(x)=x^(2)-1

Let f (x) = x^(2)+10x+20. Find the number of real solution of the equation f (f (f (f(x))))=0

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. If the sum of n terms of a G.P. is 3(3^(n+1))/(4^(2n)) , then find the...

    Text Solution

    |

  2. Three numbers form an increasing G.P. If the middle number is doubled,...

    Text Solution

    |

  3. Let f(x)=2x+1. Then the number of real number of real values of x for ...

    Text Solution

    |

  4. If a, b and c be three distinct real number in G.P. and a + b + c = xb...

    Text Solution

    |

  5. If a, b, c be in G.P., then the expression a^(2)b^(2)c^(2) ((1)/(a^(3)...

    Text Solution

    |

  6. How many terms of the series 1, 4, 16,… must be taken to have their su...

    Text Solution

    |

  7. The sum of n terms of the series 1 + (1)/(2) + (1)/(2^(2)) +… is less ...

    Text Solution

    |

  8. The minimum value of n such that 1 + 3 + 3^(2) +...+ 3^(n) gt 1000 is

    Text Solution

    |

  9. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  10. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

    Text Solution

    |

  11. If A and G be the A .M and G.M between two positive numbers, then the ...

    Text Solution

    |

  12. If the A.M. and G.M. between two numbers are in the ratio m.n., then w...

    Text Solution

    |

  13. If S = (2)/(3) + (8)/(9) + (26)/(27) + (30)/(81)+….+n terms, then the ...

    Text Solution

    |

  14. Sum of n terms of the series (1)/(3) + (5)/(9) + (19)/(27) + (65)/(81)...

    Text Solution

    |

  15. 8 + 88 + 888 +…n terms =

    Text Solution

    |

  16. underset("n digits")((666…6)^(2)) + underset("n digits")((888…8)) is e...

    Text Solution

    |

  17. The value of sum sum(n=1)^(13) ( i^(n) + i^(n+1)) where i= sqrt( -1) ,...

    Text Solution

    |

  18. If |a| lt 1 and |b| lt 1 , then the sum of the series a(a+b) + a^2...

    Text Solution

    |

  19. If S be the sum, P the product and R the sum of the reciprocals of n t...

    Text Solution

    |

  20. If x = 1 + a + a^(2) + a^(3) +…"to" oo (|a| lt 1) and y = 1 b + b^(2) ...

    Text Solution

    |