Math Chapter Wise

EnglishTGT 2005

Q341.The area bounded by y tanx,y cot x =, x-axis in interval 0, 2 π

Alog2 Blog2 2 π C1 log2 4 π DNone of these

Show answer

EnglishTGT 2005

Q342.The area under the curve y 3 sinx sin2x + = + = between the co-ordinate x = 0 and x 6 π = is

A() 1 7 4 4 − B() 1 7 4 3 4 − C() 1 7 3 4 − DNone of these

Show answer

EnglishTGT 2005

Q343.What will be the curve y x 1.y 0 = − = − = − = − = and x 2 = the area of region bounded by-

A5 B4 C9/5 DNone of these

Show answer

EnglishTGT 2005

Q344.Which of the following function in an even function -

A() 1 x a f x x a + = − B() 1 x a f x x x a − = + C() x x a a f x x x a a − = − + D() sin f x x =

Show answer

EnglishTGT 2004

Q345.The value of [ [ [ ] ] 4 e 1 log x ∫ ∫ dx is: ([x] is the greatest integer less than or equal to x)

A4 loge 2 Bloge 4 Cloge 6 D–loge 6

Show answer

EnglishTGT 2004

Q346.If a, b, c are non -zero real number, such that (((()))) (((()))) 3 3 2 2 0 1 3ax 2bx + c dx 3ax 2bx + c dx + = + + = + + = + + = + ∫ ∫ ∫ ∫ then the relation between a, b, c is

Aa + b + c = 3 Ba + b + c = 1 Ca + b + c = 0 Da + b + c = –2

Show answer

EnglishTGT 2004

Q347.The value of (((()))) 2 3 1 ax bx + c dx − + ∫ ∫ depends on the value of

Aa,b Ba Cb Dc

Show answer

EnglishTGT 2004

Q348.If f(x)is continuous and f(sinx) + f (cosx) ≠ 0 for x∈ 0, 2 π then the value of /2 0 f(sinx)dx f(sinx) f(cosx) π + ∫ ∫ is

A0 Bπ/2 C–π/4 Dπ/4

Show answer

EnglishTGT 2004

Q349.If I (m, n) = 1 m n 0 t (i + t), ∫ ∫ then the expression for I (m, n) in terms of I (m +1, n – 1) is

A1 + m n I (m +1, n–1) B1 + n m I (m +1, n–1) C1 1 + + + n 2 n m m I (m +1, n–1) D1 1 + + + n 2 n m m I (m +1, n–1)

Show answer

EnglishTGT 2004

Q350.The area bounded by the curves y x,2y + 3 = x = and x–axis in the first quadrant is

A9 B18 C27/4 D36

Show answer

EnglishTGT 2004

Q351.Let f(x) = x–[x], for every real number x, where [x] is the greatest integer less than or equal to x, then 1 f (x)dx − ∫ ∫ is

A1 B2 C0 D1/2

Show answer

EnglishTGT 2003

Q352.∫ ∫ ex (sin hx + cos hx) dx =

Aex/sec hx Bex/cos hx Csin h2x Dcos h2x

Show answer

EnglishJharkhand TGT 2017

Q353.Integrate (((()))) f(x) 2x / 1 x2 2 = + = + with lower and upper limits as 0 and 1 respectively. The value is

A−( )/2 2 1 B() 2 2 1 + C−( )/2 2 1 D() 2 2 1 +

Show answer