Home
Class 12
MATHS
If p and q are positive real numbers suc...

If p and q are positive real numbers such that `p^2+q^2=1` , then the maximum value of p+q is

A

2

B

`(1)/(2)`

C

`(1)/(sqrt(2))`

D

`sqrt(2)`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -3 Subjective /JEE Advanced (Comprehension )|3 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

If p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)

if p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)

If p and q are two quantities such that p^(2) +q^(2) =1 , then maximum value of p + q is

If p and q are positive numbers other than 1, then the least value of |log_(q)p+log_(p)q| is ______.

P and q are positive numbers such that p^q =q^p and q =9p . The value of p is

If p,q and r are prime numbers such that r=q+2 and q=p+2 , then the number of triples of the form (p,q,r) is

MOTION-SEQUENCE & SERIES -Exercise -4 Level -I Previous Year /JEE Main
  1. in a geometric progression consisting of positive terms, each term eq...

    Text Solution

    |

  2. If p and q are positive real numbers such that p^2+q^2=1 , then the ma...

    Text Solution

    |

  3. the sum of the series 1/(2!)-1/(3!)+1/(4!)-....... upto infinity is

    Text Solution

    |

  4. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  5. A person is to count 4500 currency notes. Let an denote the number o...

    Text Solution

    |

  6. Statement 1 The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+"……."+(...

    Text Solution

    |

  7. If 100 times the 100^(t h) term of an AP with non zero common diffe...

    Text Solution

    |

  8. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

    Text Solution

    |

  9. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  10. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  11. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  12. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  14. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  15. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

    Text Solution

    |

  16. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  17. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

    Text Solution

    |

  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  19. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

    Text Solution

    |