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Recent questions tagged out-of-gate-syllabus

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75
GATE CSE 1995 | Question: 2.18
The solution of differential equation $y''+3y'+2y=0$ is of the form $C_1e^x+C_2e^{2x}$ $C_1e^{-x}+C_2e^{3x}$ $C_1e^{-x}+C_2e^{-2x}$ $C_1e^{-2x}+C_2e^{-x}$
The solution of differential equation $y''+3y'+2y=0$ is of the form$C_1e^x+C_2e^{2x}$$C_1e^{-x}+C_2e^{3x}$$C_1e^{-x}+C_2e^{-2x}$$C_1e^{-2x}+C_2e^{-x}$
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0 votes
3 answers
76
GATE CSE 1995 | Question: 2.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k-2x_k/\left(x^2_k+b\right)$ None of the above
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is$x_{k+1} = 3(x_k+b)/2x_k$$x_{k+1} = (x_{k}^2+b)/2x_k$$x_{k+1...
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0 votes
2 answers
78
GATE CSE 1995 | Question: 1.23
The value of $k$ for which $4x^2 – 8xy + ky^2 = 0$ does not represent a pair of straight lines (both passing through the origin) is: 0 2 9 3
The value of $k$ for which $4x^2 – 8xy + ky^2 = 0$ does not represent a pair of straight lines (both passing through the origin) is:0293
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2 votes
2 answers
79
GATE CSE 1995 | Question: 1.22
If at every point of a certain curve, the slope of the tangent equals $\frac{-2x}{y}$ the curve is a straight line a parabola a circle an ellipse
If at every point of a certain curve, the slope of the tangent equals $\frac{-2x}{y}$ the curve isa straight linea parabolaa circlean ellipse
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1 votes
1 answer
80
GATE CSE 1995 | Question: 1.1
A single instruction to clear the lower four bits of the accumulator in 8085 assembly language? XRI 0FH ANI F0H XRI F0H ANI 0FH
A single instruction to clear the lower four bits of the accumulator in 8085 assembly language?XRI 0FHANI F0HXRI F0HANI 0FH
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3 votes
0 answers
82
GATE CSE 1994 | Question: 16
Every element $a$ of some ring $(R, +, o)$ satisfies the equation $a\;o\;a=a$. Decide whether or not the ring is commutative.
Every element $a$ of some ring $(R, +, o)$ satisfies the equation $a\;o\;a=a$. Decide whether or not the ring is commutative.
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3 answers
83
GATE CSE 1994 | Question: 3.4
Match the following items (i) Newton-Raphson (a) Integration (ii) Runge-Kutta (b) Root finding (iii) Gauss-Seidel (c) Ordinary Differential Equations (iv) Simpson's Rule (d) Solution of Systems of Linear Equations
Match the following items(i) Newton-Raphson(a) Integration(ii) Runge-Kutta(b) Root finding(iii) Gauss-Seidel(c) Ordinary Differential Equations(iv) Simpson's Rule(d) Solu...
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3 votes
1 answer
85
GATE CSE 1994 | Question: 1.1
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3 votes
2 answers
90
GATE CSE 1997 | Question: 1.2
The Newton-Raphson method is used to find the root of the equation $X^2-2=0$. If the iterations are started from -1, the iterations will converge to -1 converge to $\sqrt{2}$ converge to $\sqrt{-2}$ not converge
The Newton-Raphson method is used to find the root of the equation $X^2-2=0$. If the iterations are started from -1, the iterations willconverge to -1converge to $\sqrt{2...
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