GATE IN 2008 | Numerical Methods Question 3 | Engineering Mathematics

GATE IN 2008

MCQ (Single Correct Answer)

-0.3

It is known that two roots of the non-linear equation $$\,{x^3} - 6{x^2} + 11x - 6 = 0\,\,$$ are $$1$$ and $$3.$$ The third root will be

$$j$$

$$-j$$

$$2$$

$$4$$

GATE IN 2007

MCQ (Single Correct Answer)

-0.3

Identity the Newton $$-$$ Raphson iteration scheme for the finding the square root of $$2$$

$${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {2 \over {{x_n}}}} \right)$$

$${x_{n + 1}} = {1 \over 2}\left( {{x_n} - {2 \over {{x_n}}}} \right)$$

$${x_{n + 1}} = {2 \over {{x_n}}}$$

$${x_{n + 1}} = \sqrt {2 + {x_n}} $$

GATE IN 2007

MCQ (Single Correct Answer)

-0.3

The polynomial $$\,p\left( x \right) = {x^5} + x + 2\,\,$$ has

all real roots

$$3$$ real and $$2$$ complex roots

$$1$$ real and $$4$$ complex roots

all complex roots

GATE IN Subjects

Engineering Mathematics