If x-y are rational numbers such that x-y-x-2y-2-2x-y-x-y-1-5 then

(a) How many rational numbers lie between $\frac{2}{5}$ and $\frac{6}{5}$ ? Mention atleast two.

(b) If $x = \frac{1}{10}$ , $y = \frac{- 3}{8}$ . Evaluate: $(x + y), (x - y), (x \times y), (x \div y)$
[3 MARKS]

Q. If

x^{2} y = y - 2 x

and

x^{2} < 1

. then

a \times [x + \frac{1}{3} x^{3} + \frac{1}{5} x^{5} + . . . . .] = y + \frac{1}{3} y^{3} + \frac{1}{5} y^{5} + . . . . . .

find

a

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If x,y are rational numbers such that (x+y)+(x−2y)√2=2x−y+(x−y−1)√5 then

The correct option is B x=2,y=1As they are rational numbers coefficients of √2,√5 should be 0.x−2y=0;x−y−1=0;x+y=2x−y⟹x=2,y=1

If $x, y$ are rational numbers such that $(x + y) + (x - 2 y) \sqrt{2} = 2 x - y + (x - y - 1) \sqrt{5}$ then

The correct option is B $x = 2, y = 1$
As they are rational numbers coefficients of $\sqrt{2}, \sqrt{5}$ should be 0.
$x - 2 y = 0; x - y - 1 = 0; x + y = 2 x - y ⟹ x = 2, y = 1$