Home
Class 12
MATHS
If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,...

If A= `[{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)`, then find the values of a and b .

Text Solution

Verified by Experts

The correct Answer is:
a = 1 and b = 4
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

Similar Questions

Explore conceptually related problems

Using elementary row transformation , find the inverse of the matrix A=[{:(3,-1),(-4,2):}] .If A^(-1)=(1)/(2)[{:(2,a),(b,3):}] , then find the values of a and b .

If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}] , then show that (A+B)(A-B)neA^(2)-B^(2) .

If A=[{:(-2,3),(1,2):}]andB=[{:(-1,0),(1,2):}] , then find (A+2B).

What is A+B, if A=[{:(1,2),(3,-1):}] and B=[{:(0,-1),(-2,1):}]

A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,4,5):}] , find A-3B+2C

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew -symmetric matrix , then find the values of a , b and c .

A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,4,5):}] , find B^(T)-C^(T)

ARIHANT PRAKASHAN-VERY SIMILAR TEST 1 -Section B
  1. In bag A, there are 5 white and 8 red balls, in bag B, 7 white and 6 ...

    Text Solution

    |

  2. Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...

    Text Solution

    |

  3. If A=[(2,0,1),(2,1,3),(1,-1,0)], then find A^(2)-5A+4I and hence find ...

    Text Solution

    |

  4. If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)...

    Text Solution

    |

  5. A box contains 4 orange and 4 green balls, another box contains 3 oran...

    Text Solution

    |

  6. If y=sin^(-1)(2x sqrt(1-x^(2))), then find (dy)/(dx) and determine its...

    Text Solution

    |

  7. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  8. Find a point on the curve y=(x-2)^(2) at which the tangent is parall...

    Text Solution

    |

  9. Find the intervals in which the following functions is increasing or d...

    Text Solution

    |

  10. Examine the applicability of mean value theorem for the function f(...

    Text Solution

    |

  11. Evaluate the integral int(0)^(2pi)(1)/(1+e^(sinx))dx.

    Text Solution

    |

  12. Evaluate int log (1+x^2)dx

    Text Solution

    |

  13. Find the area of the region enclosed by the curve y=x e^(x^(2), the ...

    Text Solution

    |

  14. Solve (dy)/(dx)+2y =6e^(x).

    Text Solution

    |

  15. Find the differential equation of the family of curves given by x^(2...

    Text Solution

    |

  16. Prove by vector method that the diagonals of a parallelogram bisect ea...

    Text Solution

    |

  17. The scalar product of the vector veca=hati +hatj +hatk with a unit ve...

    Text Solution

    |

  18. Find the acute angle between the lines passing through (-3, -1, 0), (2...

    Text Solution

    |

  19. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  20. Find the coordinates of the point, where the line (x+1)/(2) = (y+2)/(3...

    Text Solution

    |