Home
Class 12
MATHS
Find the value of |a|+|b| such that the ...

Find the value of `|a|+|b|` such that the identity `|a x+b y|+|b x+a y|=|x|+|y|` holds `AAx ,y in R`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the value of x and y: ax +by =a-b bx-ay =a+b

Find the values of a and b if the slope of the tangent to the curve x y+a x+b y=2 at (1,\ 1) is 2.

Find the minimum value of a x+b y , where x y=c^2 and a ,\ b ,\ c are positive.

A circle with center (a , b) passes through the origin. The equation of the tangent to the circle at the origin is (a) a x-b y=0 (b) a x+b y=0 b x-a y=0 (d) b x+a y=0

Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot

Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot

In Fig.67, the value of x\ a n d\ y\ a r e x=130 ,\ y=120 (b) x=120 ,\ y=130 x=120 ,\ y=120 (d) x=130 ,\ y=130

In Fig.69, if A B C D , then the value of x\ a n d\ y are x=106 ,\ y=307 (b) x=307 ,\ y=106 x=107 ,\ y=306 (d) x=105 ,\ y=308

In Fig.70, if A B C D , then the value of x\ a n d\ y are x=24 ,\ y=48 (b) x=34 ,\ y=68 x=24 ,\ y=68 (d) x=34 ,\ y=48

Find the maximum , minimum values of following functions ( using graphical approach ) (a) y=|x|, x in R (b) y=|sin x|, x in R

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Determine the empty sets, singleton sets and pair sets in the followin...

    Text Solution

    |

  2. ABCD is a quadrilateral in which and/D A B\ =/C B A(see Fig. 7.17). P...

    Text Solution

    |

  3. Find the value of |a|+|b| such that the identity |a x+b y|+|b x+a y|=|...

    Text Solution

    |

  4. There are 11 teachers who teach Mathematics or Physics in a school, Of...

    Text Solution

    |

  5. The variance of 20 observations is 5. If each observation is multiplie...

    Text Solution

    |

  6. Find the value of C D in terms of x , in the adjoining figure, where...

    Text Solution

    |

  7. If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300...

    Text Solution

    |

  8. Let 3 non-zero distinct real numbers be in A.P. and their squares in...

    Text Solution

    |

  9. In the adjoining figure find that value of a +b if angleDBE = 90^@

    Text Solution

    |

  10. The number of solution of equation 2cos^(-1)x=a+a^2(cos^(-1)x)^(-1) ar...

    Text Solution

    |

  11. The smallest positive value of p for which the equation cos(p sinx) =...

    Text Solution

    |

  12. OABC is a rhombus whose three vertices. A, B and C lie on a circle wit...

    Text Solution

    |

  13. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=s in^(...

    Text Solution

    |

  14. The equation 7x^(2)-(7pi+22)x+22pi=0has (A) equal roots (B) a root wh...

    Text Solution

    |

  15. The value of expression, log4((x^2)/4)-2log4(4x^4) when x=-2 is (a)-6...

    Text Solution

    |

  16. If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a ...

    Text Solution

    |

  17. Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then

    Text Solution

    |

  18. Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)), where [*] denotes gr...

    Text Solution

    |

  19. A person has to buy 4 ice creams. Number of ways he can choose 4 ice...

    Text Solution

    |

  20. If x=(log)k b=(log)b c=1/2(log)c d ,t h e n(log)k d is equal to 6x b. ...

    Text Solution

    |