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Quantitative Aptitude

Lines and Angles

If a * b=a b+...

Question

If a b = ab + a + b, draw the graph of y = 3 x + 1 * 2.

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Solution

We have

To draw the graph of the straight line, we first take different values of x and get corresponding values of y. We then tabulate them as follows.

Now, we locate the points on the graph. Upon joining these points, we get the graph of the straight line.

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Similar questions

a * b = a b + a + b

, draw the graph of

y = 3 * x + 1 * 2

x = 1 + a + a^{2} + a^{3} + . . .

y = 1 + b + b^{2} + b^{3} + . . . .

, then show that

1 + a b + a^{2} b^{2} + a^{3} b^{3} + . . . = \frac{x y}{x + y - 1}

x = 1 + a + a^{2} + . . . \infty, (| a | < 1), y = 1 + b + b^{2} + . . . \infty, (| b | < 1),

z = 1 + a b + a^{2} b^{2} + a^{3} b^{3} + . . . \infty

Q. Use the table given below to draw the graph.

$x$	$- 5$	$- 1$	$3$	$b$	$13$
$y$	$- 2$	$a$	$2$	$5$	$7$

From your graph, find the values of

^{'} a^{'}

^{'} b^{'}

.
State a linear relation between the variables

x

y

x = 1 + a + a^{2} + a^{3} + . . . . . \infty

y = 1 + b + b^{2} + b^{3} + . . . . . \infty

1 + a b + a^{2} b^{2} + . . . . \infty = \frac{x y}{x + y - 1}

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