Home
Class 12
MATHS
If a, b are positive real numbers such t...

If a, b are positive real numbers such that the lines `ax + 9y = 5` and `4x + by = 3` are parallel, then the least possible value of a+ b is

A

13

B

12

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    KVPY PREVIOUS YEAR|Exercise PART-II ( MATHEMATICS)|10 Videos

  • QUESTION PAPER 2013

    KVPY PREVIOUS YEAR|Exercise PART-II (MATHEMATICS)|5 Videos

  • MOCK TEST 9

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-II(MATHEMATICS)|10 Videos

Similar Questions

Explore conceptually related problems

If the lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b?

If a and b are positive numbers and eah of the equations x^(2)+ax+2b=0 and x^(2)+2bx+a=0 has real roots,then the smallest possible value of (a+b) is

If a and b are positive real numbers and each of the equations x^(2)+3ax+b=0 and x^(2)+bx+3a=0 has real roots,then the smallest value of (a+b) is

If the lines 3x+by-1=0 and ax-5y+2=0 are parallel, then find the relation between a and b .

Let a, b, x, y be real numbers such that a^(2)+b^(2)=81, x^(2)+y^(2)=121 and ax + by = 99 . Then the set of all possible values of ay - bx is -

KVPY PREVIOUS YEAR-QUESTION PAPER 2013-PART-I ( MATHEMATICS)
  1. The sum of non-real roots of the polynomial equation x^3 + 3x^2+3x + 3...

    Text Solution

    |

  2. Let n be a positive integer such that log2 log 2 log2 log2 log2 (n) lt...

    Text Solution

    |

  3. Let omega be a cube root of unity not equal to 1. Then the maximum pos...

    Text Solution

    |

  4. If a, b are positive real numbers such that the lines ax + 9y = 5 and ...

    Text Solution

    |

  5. Two line segments AB and CD are constrained to move along the x and y ...

    Text Solution

    |

  6. Consider a triangle ABC in the xy -plane with vertices A = (0,0), B = ...

    Text Solution

    |

  7. Let ABC be an acute-angled triangle and let D be the midpoint of BC. I...

    Text Solution

    |

  8. The angles alpha , beta , gamma of a triangle satisfy the equations 2...

    Text Solution

    |

  9. Let f : R to R be a function such that lim(x to oo) f(x) = M gt 0. T...

    Text Solution

    |

  10. For x , t in R let p(t) (x)= ( sin t) x^(2) - (2 cost ) x + sin ...

    Text Solution

    |

  11. Let f(x) = sqrt(2-x-x^(2)) and g(x) = cos x . Which of the following ...

    Text Solution

    |

  12. For real x with -10 le x le 10 define f(x) = int(-10)^(x) 2^([t]) dt...

    Text Solution

    |

  13. For a real number x let [x] denote the largest integer less than or eq...

    Text Solution

    |

  14. The area bounded by the curve y = cos x, the line joining (-pi //4 , c...

    Text Solution

    |

  15. A box contains coupons labeled 1, 2, 3....n. A coupon is picked at ran...

    Text Solution

    |

  16. Let n ge 3. A list of numbers 0 le x1 le x2 le … le xn has mean mu a...

    Text Solution

    |

  17. Let vec(v1) , vec(v2) , vec(v3), vec(v4) be unit vectors in the xy-pl...

    Text Solution

    |

  18. The number of integers n with 100 le n le 999 and containing at most t...

    Text Solution

    |

  19. For an integer n let Sn = {n + 1, n + 2, ....., n + 18}. Which of the ...

    Text Solution

    |

  20. Let P be a closed polygon with 10 sides and 10 vertices (assume that t...

    Text Solution

    |