Home
Class 11
MATHS
Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(...

Let `P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot` if there exists unique pair of real numbers `(x , y)` such that `P(x)Q(y)=20` , then the value of `(6x+10 y)` is _____.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If x and y are real numbers and (x-5)^(2)+(x-y)^(2)=0 , then find the value of x and y.

Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then the maximum value of ((4x-9y))/2 is__________

If x^(2)+y^(2)-6x-8y=-25 , then find the values of x and y.

If x:y = 5:6 then the value of (3x + 4y)/(4x + 3y) will be

If x^2+y^2-4x-6y+13=0 , then find the value of (x+y):(y-x).

If (x-y)^2 = 4 - 4y + y^2 , then let's find the value of x.

Answer any One question : If (3x - 2y) : (x + 3y) = 5 : 6, then find the value of (2x + 5y) : (3x + 4y).

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

    Text Solution

    |

  2. If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 ...

    Text Solution

    |

  3. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

    Text Solution

    |

  4. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  5. if a lt c lt b, then check the nature of roots of the equation (a ...

    Text Solution

    |

  6. Let z1 and z2 be the nth roots of unity which subtend a right angle at...

    Text Solution

    |

  7. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  8. The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...

    Text Solution

    |

  9. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  10. For all complex niumbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5...

    Text Solution

    |

  11. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

    Text Solution

    |

  12. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

    Text Solution

    |

  13. If p ,q in {1,2,3,4,} , then find the number of equations of form px^2...

    Text Solution

    |

  14. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  15. Find the domain and the range of f(x)=sqrt(x^2-3x.)

    Text Solution

    |

  16. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

    Text Solution

    |

  17. Find the domain and range of f(x)=sqrt(3-2x-x^2)

    Text Solution

    |

  18. If x in (0,pi//2)a n dcosx=1//3 , then prove that sum(n=0)^oo(cosn x)/...

    Text Solution

    |

  19. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

    Text Solution

    |

  20. Let Zp=rp(costhetap+isinthetap),p=1,2,3a n d1/(Z1)+1/(Z2)+1/(Z3)=0. Co...

    Text Solution

    |