Home
Class 12
MATHS
If 3p^(2)=5p+2 and 3q^(2)=5q+2 then the ...

If `3p^(2)=5p+2` and `3q^(2)=5q+2` then the equation whose roots `3p-2p` and `3q-2p` is

A

`x^(2) - 5x + 100 = 0`

B

`3x^(2) - 5x - 100 = 0`

C

`3x^(2) + 5x + 100 = 0`

D

`5x^(2) - x + 7 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If 3p^(2)=5p+2 and 3q^(2)=5q+2 where p!=q,pq is equal to

If x^(2)+px+q=0 is the quadratic equation whose roots are a-2 and b-2 where a and b are the roots of x^(2)-3x+1=0, then p-1,q=5 b.p=1,1=-5 c.p=-1,q=1 d.p=1,q=-1

I. p^(2)+5p+6 = 0 II. q^(2) + 3q + 2 = 0

if 2^(p)+3^(q)=17 and 2^(p+2)-3^(q+1)=5 then find the value of p&q

If p and q are roots of the equation 2x^2-7x+3 then p^2+q^2=

If 2p + 3q = 12 and 4p^(2) + 4pq - 3q^(2) = 126 , then what is the value of p + 2q ?

If (2p+5q)/(2r+5s) = (4p-3q)/(4r-3s) , then find the relation between p, q, r and s.

I. 3p^(2)+10p+8 = 0 II. 2q^(2) + 3q+1 = 0

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. If a, b are two real number satisfying the relation 2a^(2) - 3a - 1 =...

    Text Solution

    |

  2. If alpha, beta are roots of x^(2)-2x-1=0, then value of 5alpha^(4)+12b...

    Text Solution

    |

  3. Suppose a, b, c are the lengths of three sides of a Delta ABC , a gt b...

    Text Solution

    |

  4. A root of the equation (a + b)(ax + b)(a - bx) = (a^2x - b^2)(a + bx) ...

    Text Solution

    |

  5. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  6. Suppose a, b, in R . If the roots of x^(2) - ax + b = 0 are real and d...

    Text Solution

    |

  7. If a is the minimum root of the equation x^(2) - 3|x|- 2 = 0 , then va...

    Text Solution

    |

  8. Let f(x) = (x^(2) - 2x + 3)/( x^(2) - 2x - 8) , x in R - {-2, 4} The r...

    Text Solution

    |

  9. Suppose a, b, care three non-zero real numbers. The equation x^2+(a+b+...

    Text Solution

    |

  10. Suppose a,b in R. If the equation x^(2)-(2a+b)x+(2a^(2)+b^(2)-b+1//2)=...

    Text Solution

    |

  11. The equation e^(sinx)-e^(-sinx)-4=0 has (A) infinite number of real ro...

    Text Solution

    |

  12. If x^(2) - 3x + 2 is a factor of x^(4) - ax^(2) + b then the equatio...

    Text Solution

    |

  13. Let for a != a1 != 0 , f(x)=ax^2+bx+c ,g(x)=a1x^2+b1x+c1 and p(x) = f(...

    Text Solution

    |

  14. If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...

    Text Solution

    |

  15. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

    Text Solution

    |

  16. If 3p^(2)=5p+2 and 3q^(2)=5q+2 then the equation whose roots 3p-2p an...

    Text Solution

    |

  17. The number of real roots of (x+3)^4+(x+5)^4=16

    Text Solution

    |

  18. If a, b, c in R and the quadratic equation x^2 + (a + b) x + c = ...

    Text Solution

    |

  19. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

    Text Solution

    |

  20. The sum of the roots of the equation x + 1 - 2 log(2) (2^(x) + 3) + 2 ...

    Text Solution

    |