Home
Class 12
MATHS
If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] suc...

If `3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)]` such that `A A^T=I`, then which of the following are correct? (A) `x+2y=4` (B) `x-y=1` (C) `x^2+y^2=-3` (D) `x^2+y^2=5`

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

If 3A=[-1-2-2 2 1-2x-2y] such that A.A^T=I , then which of the following are correct? x+2y=4 (b) x-y=1 x^2+y^2=-3 (d) x^2+y^2=5

If A=1/3[(1,2,2),(2,1,-2),(x,2,y)] satisfies A^T A=I , then x+y= (a) 3 (b) 0 (c) -3 (d) 1

x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b) x+2y=4 (c) 2x+y=0 (d) 2x+y=5

Find the following products: (i) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)

The normal to the curve x^2=4y passing (1,2) is (A) x + y = 3 (B) x y = 3 (C) x + y = 1 (D) x y = 1

A plane through the line (x-1)/1=(y+1)/(-2)=z/1 has the equation (A) x+y+z=0 (B) 3x+2y-z=1 (C) 4x+y-2z=3 (D) 3x+2y+z=0

Solve the following system of equations: 2/(3x+2y)+3/(3x-2y)=(17)/5,\ \ \ 5/(3x+2y)+1/(3x-2y)=2

For what values of x\ a n d\ y are the following matrices equal? A=[2x+1 2y0y^2-5y] , B=[x+3y^2+2 0-6]

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=2 (c) x+y=2 (d) none of these

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The number of positive integral solutions of, (x^2(3x-4)^3(x-2)^4)/((x...

    Text Solution

    |

  2. Let f(x)=e^(2x) and b=a+hdot If there exists a real number theta in (0...

    Text Solution

    |

  3. If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] such that A A^T=I, then which of ...

    Text Solution

    |

  4. Solve for x:log(2)(sin""(x)/(2))lt-1

    Text Solution

    |

  5. Let f(x)=x^4-6x^3+12 x^2-8x+3. If Rolles theorem is applicable to varp...

    Text Solution

    |

  6. The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...

    Text Solution

    |

  7. If the functions f, g and h are defined from the set of real numbers R...

    Text Solution

    |

  8. xdotC(21)+ydotC(22)+zdotC(23) is (a)0 (b) delta (c) -delta (d) Non...

    Text Solution

    |

  9. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

    Text Solution

    |

  10. qdotM(12)+ydotM(22)+mdotM(32)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  11. The left hand derivative of f(x)=[x]sin(pix) at x = k, k in Z, is

    Text Solution

    |

  12. If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passe...

    Text Solution

    |

  13. If f(x)={{:([x]+sqrt({x})",", xlt1),((1)/([x]+{x}^(2))",",xge1):}, the...

    Text Solution

    |

  14. pdotC(21)+qdotC(22)+rdotC(23)= (a) 0 (b) triangle (c) -triangle (d...

    Text Solution

    |

  15. Let A" "=" "{9," "10 ," "11 ," "12 ," "13} and let f" ":" "A ->N be de...

    Text Solution

    |

  16. If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triang...

    Text Solution

    |

  17. The quadratic equation whose root:s are sec^2 alpha and cosec^2 alpha...

    Text Solution

    |

  18. Consider the function f(x)=(.^(x+1)C(2x-8))(.^(2x-8)C(x+1)) Statement...

    Text Solution

    |

  19. If a, b, c are positive numbers such that a^(log(3)7) =27, b^(log(7)1...

    Text Solution

    |

  20. The graph of the function y =f(x). Then which of the following curve r...

    Text Solution

    |