Home
Class 12
MATHS
Comprehension (Q. No. 6 to Q. No. 8) Let...

Comprehension (Q. No. 6 to Q. No. 8) Let `(x_1, y_1)&(x_2, y_2)` are the solutions of the equation, `(log)_(225)(x)+(log)_(64)(y)=4` and `(log)_x(225)-(log)_y(64)=1` `(log)_(225)x_1dot(log)_(225)x_2=` 2 (b) 4 (c) 6 (d) 8

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If (x_(1),y_(1)) and (x_(2),y_(2)) are the solution of the system of equation log_(225)(x)+log_(64)(y)=4 and log_(x)(225)-log_(y)(64)=1, then show that the value of log_(30)(x_(1)y_(1)x_(2)y_(2))=12

If (x_(1),y_(1))&(x_(2),y_(2)) are the solutions of the equaltions,log_(225)(x)+log_(64)(y)=4 and log_(x)(225)-log_(y)(64)=1log_(225)x_(1).log_(225)x_(2)=4 b.log_(225)x_(1)+log_(225)x_(2)=6c|log_(64)y_(1)-log_(64)y_(2)|=2sqrt(5)d*log_(30)(x_(1)x_(2)y_(1)y_(2))=12

IF y' = y/x(log y - log x+1), then the solution of the equation is :

The solutions to the system of equations log_(5)x+log_(27)y=4 and log_(x)5-log_(y)(27)=1 are (x_(1),y_(1)) and (x_(2),y_(2)) then log_(15)(x_(1)x_(2)y_(1)y2) is

Let (x_(0),y_(0)) be the solution of the following equations: (2x)^(ln2)=(3y)^(ln3) and 3^(ln x)=2^(ln y) Then value of x_(0) is:

Let x and y are solutions of the system of equations {log_(8)(1)+log_(3)(x+2)=log_(3)(3-2y) and 2^(x+y)-8^(3-y)=0 The value of (y-x), is

The solution of the differential equation log((dy)/(dx))=4x-2y-2,y=1, where x=1 is

if log_(9)x+log_(4)y=(7)/(2) and log_(9)x-log_(8)y=-(3)/(2) then x+y is

If xy^(2)=4and(log)_(3)((log)_(2)x)+(log)_((1)/(3))((log)_((1)/(2))y)=1 then x equals (a)4(b)8(c)16(d)64

RESONANCE DPP-JEE MAINS-All Questions
  1. The function g(x) =[ x+b, x < 0; cos x, x >= 0, can be made differenti...

    Text Solution

    |

  2. The difference between the greatest and least value of function f(x)=c...

    Text Solution

    |

  3. Comprehension (Q. No. 6 to Q. No. 8) Let (x1, y1)&(x2, y2) are the sol...

    Text Solution

    |

  4. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

    Text Solution

    |

  5. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

    Text Solution

    |

  6. If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) ,...

    Text Solution

    |

  7. If f be a function defined on the set of non-negative integers and ta...

    Text Solution

    |

  8. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x(a , ...

    Text Solution

    |

  9. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

    Text Solution

    |

  10. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

    Text Solution

    |

  11. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

    Text Solution

    |

  12. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a...

    Text Solution

    |

  13. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo...

    Text Solution

    |

  14. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b...

    Text Solution

    |

  15. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

    Text Solution

    |

  16. The greatest ' x ' satisfying the inequation (2x+1)/3-(3x-1)/2>1 is: -...

    Text Solution

    |

  17. If (x-1)(x-3)(x+2)(x-5)>0 then ' x^(prime) can be [6,8] (b) [2, 3] (c...

    Text Solution

    |

  18. In the figure, if A B=A C ,/B A D=30^0 and A E=A D , then x is equal t...

    Text Solution

    |

  19. Number of composite numbers less than 20 which are coprime with 4 s...

    Text Solution

    |

  20. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

    Text Solution

    |