Home
Class 12
MATHS
For how many values of 'x' in the closed...

For how many values of 'x' in the closed interval `[-4,-1]` is the matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` singular ?

A

1

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 93

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 95

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] is singular.

" The number of values of "x in[-4,-1]" ,for which the matrix "[[3,-1+x,2],[3,-1,x+2],[x+3,-1,2]]" is singular,is "

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x) :}] is singular

The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

In the matrix A=[(3-2x,x+1),(2,4)] is singular then X=?

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.

For what value of x is the matrix [6-x4 3-x1] singular?

NTA MOCK TESTS-NTA JEE MOCK TEST 94-MATHEMATICS
  1. Consider the cubic f(x)=x^(3)-3x+a where ain(0, 2). Then, the equation...

    Text Solution

    |

  2. The integral I=int(sin^(3)thetacos theta)/((1+sin^(2)theta)^(2))d thet...

    Text Solution

    |

  3. For how many values of 'x' in the closed interval [-4,-1] is the matri...

    Text Solution

    |

  4. Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1), then...

    Text Solution

    |

  5. Consider three statements p : person 'A' passed in mathematics exam ...

    Text Solution

    |

  6. If f(x) is continuous in [0, 1] and f((1)/(3))=12, then the value of l...

    Text Solution

    |

  7. For x in ((-pi)/(2),(pi)/(2)), the range of values of values of f(x)=2...

    Text Solution

    |

  8. A biased coin is tossed 10 times. The head is 2 times more likely to a...

    Text Solution

    |

  9. If the line (x-4)/(1)=(y-2)/(1)=(z-m)/(2) lies in the plane 2x+ly+z=7,...

    Text Solution

    |

  10. The least positive integral value of k for which [(cos.(2pi)/(7),-sin....

    Text Solution

    |

  11. The solution of the differential equation xdx+ysin^(2)xdy=ydy+xsin^(2)...

    Text Solution

    |

  12. There are fifty persons among whom 2 are brothers. The number of ways ...

    Text Solution

    |

  13. The product of the roots of the equation whose roots are greater by un...

    Text Solution

    |

  14. The focal chord of y^(2)=64x is tangent to (x-4)^(2)+(y-2)^(2)=4, th e...

    Text Solution

    |

  15. If ((1+cos2x))/(sin2x)+3(1+(tanx)tan.(x)/(2))sin x=4 then the value of...

    Text Solution

    |

  16. Let 0lt theta(1) lt theta(2) lt theta(3) lt………. denotes the positive s...

    Text Solution

    |

  17. If the point P((3a)/(2),1) lies between the two different lines x+y=a ...

    Text Solution

    |

  18. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  19. A hyperbola having the transverse axis of length sqrt2 units has the s...

    Text Solution

    |

  20. An insect starts from the origin in the argand plane and goes 4 km (N ...

    Text Solution

    |