Home
Class 12
MATHS
Consider the following equation in x and...

Consider the following equation in x and y: `(x-2y-1)^2 + (4x+3y-4)^2 + (x-2y-1)(4x+3y-4) =0` How many solutions to `(x, y)` with `x, y` real, does the equation have

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

Solve the following differential equations. 2(x-3y+1)(dy)/(dx)=(4x-2y+1)

Solve the following system of equations graphically: " " 2 x - 3y = 1, 4x - 3y + 1 = 0 .

Solve the following equations for X and Y : 2X-Y=[(3,-3,0),(3,3,2)], 2Y+X=[(4,1,5),(-1,4,-4)]

Solve the following system of equations: (3)/(x+y)+(2)/(x-y)=2,quad (9)/(x+y)-(4)/(x-y)=1

Add the following expressions: x^3y^2 + x^2y^3 +3y^4 and x^4 + 3x^2y^3 + 4y^4

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0

What conic does the equation 25(x^2+y^2-2x+1)=(4x-3y+1)^2 represent?

Simplify: (3x+2y)(4x+3y)-(2x-y)(7x-3y)

Using matrices, solve the following system of equations for x,y and z. 3x-2y+3z=8 , 2x+y-z=1 , 4x-3y+2z=4

RESONANCE DPP-JEE MAINS-All Questions
  1. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |

  2. If x=prod(n=1)^(2000)n , then the value of the expression, 1/(1/((log...

    Text Solution

    |

  3. Consider the following equation in x and y: (x-2y-1)^2 + (4x+3y-4)^2 +...

    Text Solution

    |

  4. The value of a^(sqrt((log)a b))-b^(sqrt((log)b a))(w h e r ea ,b >0a n...

    Text Solution

    |

  5. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  6. Find the value of (23.17)^((1)/(5.76)) using log table.

    Text Solution

    |

  7. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  8. Find number of digits in 18^20

    Text Solution

    |

  9. Let f be a differentiable function for all x and that |f'(x)|<=2 for ...

    Text Solution

    |

  10. If the first and (2n-1)^(th) terms of an A.P, a G.P and an H.P of posi...

    Text Solution

    |

  11. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved a...

    Text Solution

    |

  12. Which of the following statements are incorrect? If f(x) and g (x) ar...

    Text Solution

    |

  13. Find the value of x satisfying the equation ((log)3 3x3+(log)x3x3...

    Text Solution

    |

  14. If f(x) =x/(x^2-1)

    Text Solution

    |

  15. Let a(1),a(2),a(3), be three positive numbers which are G.P. with comm...

    Text Solution

    |

  16. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  17. The value of k for which product of two of the roots of the equation ...

    Text Solution

    |

  18. If A=[a b c b c a c a b],a b c=1,A^T A=I , then the value of a^3+b^3+...

    Text Solution

    |

  19. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  20. Point A lies on the line y=2x and the sum of its abscissa and ordinate...

    Text Solution

    |