Textile Engineering Gate 2009 Questions with Answer
Ques 1 GATE 2009
The coefficient of cos 4x in the Fourier Series of the function
Ques 2 GATE 2009
The partial differential equation
(∂2u/∂x2) + (1/x)(∂u/∂x) + (1/x2)(∂2u/∂θ2) = 0 is known as the polar form of
Ques 3 GATE 2009
Probability of getting 16 in one throw with 3 dice is
Ques 4 GATE 2009
Radius of the circle passing through P(2,4) and the points of intersection with the x-axis of the tangent and normal drawn at P to the curve y2=8x is
Ques 5 GATE 2009
If the determinant and trace of a 2×2 matrix M are -1 and 0 respectively, then the determinant of M+M⁻¹ is
Ques 6 GATE 2009
If S is the largest possible set of real numbers x for which the series
∑n=1∞ xn/n
is convergent, then S is
Ques 7 GATE 2009
If the Laplace transform of a function f(t) is 1/(s3-s) then f(t) is
Ques 8 GATE 2009
The general solution of the differential equation
x2(d2y/dx2) + 2x(dy/dx) - y/x2 = 0 is
Ques 9 GATE 2009
The absolute value of the directional derivative of the surface given by
x2/1 + y2/4 + z2/9 = 3
at P(1,2,3) in the direction of the line OP, where O denotes the origin, is
Ques 10 GATE 2009
Sley velocity in m/sec at the front centre of a loom running at 300 rpm is
Ques 11 GATE 2009
A fabric having 30 tex warp and 20 tex weft with 40 ends/cm and 30 picks/cm has 10% crimp in both warp and weft yarns. The fabric weight in g/m² will be
Ques 12 GATE 2009
A 180 cm wide fabric with 30 picks/cm is produced on a loom running at 500 rpm with 95% efficiency. The number of metres of fabric produced per hour will be
Ques 13 GATE 2009
Restarting a loom after the overnight stoppage will have
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