Home
Class 12
MATHS
There numbers are in G.P. whose product ...

There numbers are in G.P. whose product and sum are respectively 216 and 21. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
`12,6,3,or,3,6,12`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -D)|8 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2019|1 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find three numbers which are in G.P whose sum and product is 38 and 1728 respectively

The sum of three consecutive numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

There number are in A .P .whose sum is 6 and product of first and third number is 3 . Find the three numbers .

If the continued product o three numbers in a G.P. is 216 and the sum of their products in pairs is 156, find the numbers.

Three numbers are in G.P. whose sum is 70. If the extremes be each multiplied by 4 and the means by 5, they will be in A.P. Find the numbers.

The sum of three numbers in A.P. is 18. If 2, 2, 6 are added respectively to 1st, 2nd and 3rd numbers, the resulting numbers are in G.P. Find the numbers.

The sum of three numbers in G.P. is (13)/(3) and the sum of their squares is (91)/(9) , find the numbers.

The sum of three numbers in A.P. is 12 and the sum of their squares is 56, find the numbers.

If the G.M. and H.M. of two numbers are 15 and 9 respectively, find the numbers.

Find three numbers in G.P. whose sum is 19 and product is 216.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)
  1. For any three sets A, B and C prove that A-(BcupC)=(A-B)cap(A-C)

    Text Solution

    |

  2. Show that the value of sin18^(@)" is "(sqrt5-1)/(4)

    Text Solution

    |

  3. For a triangle, if (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c), then show that ang...

    Text Solution

    |

  4. Using the principle of mathematical induction, prove that 1^(2)+3^(2)+...

    Text Solution

    |

  5. Show that if nge1 is an integer, then 9^(n+1)-8n-9 is divisible by 64...

    Text Solution

    |

  6. How many different numbers of 5 significant digits can be formed with ...

    Text Solution

    |

  7. Solve :z+|z|=1+2i, where z=x+iy,x,yinRR.

    Text Solution

    |

  8. There numbers are in G.P. whose product and sum are respectively 216 a...

    Text Solution

    |

  9. Find the distance from the point P(4,1) to the line 4x-y=0 measured al...

    Text Solution

    |

  10. Find the equations of the circle which touches y-aixs at (0,5) and who...

    Text Solution

    |

  11. Find the locus of the foot of the perpendicular drawn from the origin ...

    Text Solution

    |

  12. If lim(xto3)(px^(2)-q)/(x-3)=6, then find the values of p and q.

    Text Solution

    |

  13. If y=sqrtx+(1)/(2sqrtx)and2x(dy)/(dx)+y=f(x), then find f(x).

    Text Solution

    |

  14. Prove that for any two statements p and q the statements ~(pharr~q)and...

    Text Solution

    |

  15. Using contrapositive method, prove that -''If x is an interger and x^(...

    Text Solution

    |

  16. A number is selected at random among the first 50 positvie integers. F...

    Text Solution

    |

  17. Calculate the value of : (i)^(61)

    Text Solution

    |