Home
Class 10
MATHS
If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p, t...

If `a/2 = b/3 = c/4 = (2a - 3b + 4c)/p`, then find the value of P .

Text Solution

Verified by Experts

`a/2 = b/3 = c/4 = (a xx 2 - b xx 3 + c xx 4)/(2 xx 2 - 3 xx 3 + 4 xx 4)`
` = (2a - 3b + 4c)/(4 - 9 + 16) = (2a - 3b + 4c)/11`
` :. a/2 = b/3 = c/4 = (2a - 3b + 4c)/11 = (2a - 3b + 4c)/p`
` :. p = 11`.
Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Long Answer Type Questions)|4 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Very Short-Answer Type Questions) MCQs|5 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Very short-answer type questions) Fill in the blanks|1 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

  • RECTANGULAR PARALLELOPIPED OR CUBOID

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

If a/2 = b/3 = c/4 = 2a-3b+4c/p, then find p .

If a/2=b/3 =c/4 =(3a-ab+4c)/p , then find the value of p.

If a/3 = b/4 = c/7 = 2a - 2b + c/p, then the value of p is

If a/2=b/3=c/5=(3a-5b+4c)/(K) then find the value of K.

If P(A uu B) = 2/3 then find the value of P(A^C nn B^C) .

If P(A) = 2/3, P(B) = 1/2 and P(A uu B) = 3/4 then find the value of P(A^C uu B^C) .

If a=3, b=4, c=5, find the value of tan( B/2) .

In a triangle ABC, if a, b, c are in A.P. and (b)/(c) sin 2C + (c)/(b) sin 2B + (b)/(a) sin 2A + (a)/(b) sin 2B = 2 , then find the value of sin B

If A and B are events such that P(A'uuB') = (3)/(4), P(A'nnB') = (1)/(4) and P(A) = (1)/(3) , then find the value of P(A' nn B)

A triangle ABC is such that sin (2A + B) = 1/2 . If A,B,C are in A.P., then find the value of A,B and C.

CALCUTTA BOOK HOUSE-RATIO AND PROPORTION-EXAMPLES (Short-answer type questions)
  1. Express the following quantities as a ratio . Also write which of them...

    Text Solution

    |

  2. Find the mixed ratios of the ratios a/b : c , b/c : a , c/a : b.

    Text Solution

    |

  3. Calculate what ratio and x^(2) : yz will form the mixed ratio xy : ...

    Text Solution

    |

  4. Find the compound ratio of the inverse ratios of the ratios x^(2) : (...

    Text Solution

    |

  5. Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(...

    Text Solution

    |

  6. If A : B = 2 : 3 , B : C = 4 : 5 " and " C : D = 6 : 7 , then find A :...

    Text Solution

    |

  7. If x : y = 2 : 3 , y : z = 4 : 7 , then find x : y : z.

    Text Solution

    |

  8. If x : y = 3 : 4, then find (3y - x) : (2 x + y).

    Text Solution

    |

  9. If p : q = 5 : 7 " and " p - q = - 4, then find the value of (3p + 4...

    Text Solution

    |

  10. If (5x - 3y) : (2x + 4y) = 11 : 12, then find x : y.

    Text Solution

    |

  11. If (10 x + 3y) : (5x + 2y) = 9 : 5, then show that (2x + y) : (x + 2y)...

    Text Solution

    |

  12. What term should be subtracted each of the ratio a : b to make the rat...

    Text Solution

    |

  13. What term should be added to antecedent and subtracted from consequent...

    Text Solution

    |

  14. If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p, then find the value of P .

    Text Solution

    |

  15. If (3x-5y)/(3x+5y) = 1/2. Then find the value of (3x^(2)-5y^(2))/(3x^(...

    Text Solution

    |

  16. If a : b = 3 : 4 " and " x : y = 5 : 7, then find the value of (3ax...

    Text Solution

    |

  17. If x , 12 , y, 27 are in continued proportion, then find the positive...

    Text Solution

    |

  18. If a : b = 3 : 2 " and " b : c = 3 : 2 , then find the value of the ...

    Text Solution

    |

  19. Find the mean - proportional of (a + b)^(2)" and " (a - b)^(2).

    Text Solution

    |