Math Chapter Wise

EnglishTGT 2009

Q441.If 2 5 A 1 6 = then what is the value of Adj

A−6/7 5/7/1/7 2/7 B−6/7 7/5/1/7 2/7 C−6/7 7/5/1/7 2/7 DNone of these

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EnglishTGT 2009

Q442.The determinant a b a b b c b c 0, a b b c 0 α+ α+ = α+ α+ α+ α+ α+ α+ α+ α+ if a, b, c are is–

AA.P. BG.P. CH.P DNone of these

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EnglishTGT 2005

Q443.If 1 1 1 f(x,y) 1 1 x 1 1 1 1 y = + + then f(x,y) will equal to –

Axy Bx Cy D(x+1) (y+1)

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EnglishTGT 2004

Q444.A square matrix A is idempotent if

AA2 = 0 BA2 = 1 CA = AT DA2 = A

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EnglishTGT 2004

Q445.Let A = 1 0 0 1, then A is not:

AA2 = A BA2 = I CA = AT DA2 = 0

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EnglishTGT 2004

Q446.Which of the following matrices does not have an inverse

A1 0/2 2 B1 1/2 2 C1 2/2 1 D2 1/1 2

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EnglishTGT 2004

Q447.In a third order determinant aij denotes the element of the ith column. If aij= 0, when i=j, aij=–1, for<i<j then the value of the determinant is

A0 B1 C–1 D3

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EnglishTGT 2004

Q448.If A = a d l b e m c f n and B = l m n a b c d e f then

AA + B = 0 BA – B = 0 CAB = 0 DA 0 B =

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EnglishTGT 2004

Q449.The ratio of the determinants: 2 1 a a 1 b b 1 c c and ab a b 1 bc b c 1 ca c a 1 + is

A2:1 B1:2 C1:1 Dabc: (a + b + c)

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EnglishTGT 2004

Q450.If λ∈R and a b c d ∆ = ∆ =, the λ∆ ∆ ∆ equals to

Aa b c d λ Ba b c d λ Ca b c d λ Da b c d λ

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EnglishTGT 2004

Q451.The condition for the expression ax2 +2hxy+by2 +2gx+2fy+c to be resolved into two liner factors is

Aa h g h b f g f c Ba h f h b g f g c Ca g f g b h f h c Da b c g f h 1 1 1

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EnglishTGT 2004

Q452.If A = 0 α and |A3 | = 125, then α equals

A0 B± 2 C± 3 D5/±

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EnglishTGT 2004

Q453.If 0 A 1 1 α = and 1 0 B 5 1 =, then the value of α for which A2 = B is

A1 B–1 C2 DNo real value

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EnglishTGT 2003

Q454.The value of the determinant: 1 2 3 3 5 7 8 14 20 is

A20 B10 C0 D5

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EnglishTGT 2003

Q455.If x a b c a x b c 0 a b x c + + = +, then x equals to

Aa + b + c B– (a +b b + c) C0, a + b + c D0, –(a + b + c)

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EnglishTGT 2003

Q456.One root of the equation 3x 8 3 3 3 3x 8 3 0 3 3 3x 8 − − = −

A8/3 B2/3 C1/3 DNone of the above

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EnglishTGT 2003

Q457.If A and B are two matrices such that A+B and AB are both defined, then

AA and B are two matrices not necessarily of same order BA and B are two matrices of same order. CNumber of columns of A = number of rows of B DNone of the above

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