Math Chapter Wise

EnglishTGT 2001

Q181.Let A α β = γ δ then Adj

Aα −β/γ α Bδ −γ/γ α Cδ −β/−γ α Dα β/−γ δ

Show answer

EnglishTGT 1999

Q182.Find the value of given determinant 1 2 3 2 3 1 3 1 2 is–

A18 B–18 C9 D-9

Show answer

EnglishTGT 1999

Q183.What will be the value of 'x' in the given determinant. 3 x 5 2 1 7 x 6 0 2 5 3 x + + = +

Ax = 0,1,12 Bx = 0,1,-12 Cx = 0,-1,-12 Dx = 1,-1,-12

Show answer

EnglishTGT 1999

Q184.If the determinant of an n–square matrix 'A' is 3 and the determinant of Adj

A4 B7 C5 D6

Show answer

EnglishTGT 1999

Q185.If cos sin A sin cos α = − α − α − α − α then which of the following is not true?

AA A A A α β α = BA A A A α β α β = + C() n A A α = D(Aα)' = 1 A− α

Show answer

EnglishPGT 2011

Q186.The value of the determinant x 2 x 3 x 5 x 4 x 6 x 9 x 8 x 11 x 15 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

A2 B–2 C3 Dx–1

Show answer

EnglishPGT 2011

Q187.The value of the diterminant 1 1 1 1 1 x 1 1 1 1 y + is

Ax+y Bxy Cx–y D1+x+y

Show answer

EnglishPGT 2011

Q188.The value of the determinant 11 12 13 12 13 14 13 14 15 is

A1 B0 C–1 D67

Show answer

EnglishPGT 2011

Q189.The value of the determinant 2 2 sin x cos x 1 cos x sin x 1 10 12 2 − is

A0 B12cos2 x–10sin2 x C12sin2 x–10cos2 x D10sin2/x

Show answer

EnglishPGT 2011

Q190.If 1 1 1 0 a b c + + = + + = + + = + + = and 1 a 1 1 1 1 b 1 1 1 1 c + + = λ + = λ + = λ + = λ + Then the value of λ is

A0 Babc C–abc DNone of these

Show answer

EnglishPGT 2011

Q191.If 'ω' is the cube root of unity then 2 1 ω = ω = ω = ω = ω

A1 Bω Cω2 D0

Show answer

EnglishPGT 2011

Q192.If 1 3 A 3 4 = and A2 –KA–5I2=0. Then the value of K is

A3 B5 C7 D–7

Show answer

EnglishPGT 2011

Q193.The order of a h g x x y z h b f y g f c z is

A3×1 B1×1 C1×3 D3×3

Show answer

EnglishPGT 2011

Q194.If 3 1 A 1 2 = − then A2 =

A−8 5/5 3 B−8 5/5 3 C8 5 5 3 − − − D−8 5/5 3

Show answer

EnglishPGT 2011

Q195.If 5 2 A 3 1 = then A–1 =

A1 2 3 5 − − − B−1 2/3 5 C1 2 3 5 − − D1 2/3 5

Show answer

EnglishPGT 2011

Q196.If a matrix A is Such that 3A3 +2A2 +5A+I=0 then A–1 =

A–(3A2/+2A+5) B3A2/+2A+5 C3A2/–2A+5 DNone of these

Show answer

EnglishPGT 2011

Q197.If f(x)= x2 –5x+7 and 3 1 A 1 2 = − then f(A)=

A1 1/1 0 B1 0/0 1 C0 0 DNone of these

Show answer

EnglishPGT 2013

Q198.If a + b + c = 0, then one solution to a – x c b c b – x a = 0 b a c – x would be:

AZero Ba+b–c Ca+b+c D–a+b+c

Show answer

EnglishPGT 2013

Q199.If A = 1 2 and B = [2 3] are two matrices then (AB)–1 will be–

A2 3 4 6 A = B1/8 C1 4 2 0 A = DDoes not exist

Show answer

EnglishPGT 2013

Q200.If matrix 1 a 0 1 = A then the value of An =?

A1 na/0 a Bn 1 a 0 1 C1 na/0 1 D1 na/0 n

Show answer