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# The Number Of Pairs (x, y) Satisfying The Equations

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## Question

### Solution

Correct option is

6

The first equation can be written as

When x + y = 0, we have to reject x + y = 1 or –1 and solve it with x – y = 1 or x – y = –1 which give (1/2, –1/2) or (–1/2, 1/2) as the possible solutions. Again solving with x = 0 we get  and solving with y = 0 we get  as the other solutions. Thus we have six sets of solutions for x and y.

#### SIMILAR QUESTIONS

Q1

The number of values of x in the interval  satisfy the equation  is

Q3

The number of solutions of the pair of equations

in the interval  is

Q4

If  are the smallest +ive angles in ascending order of magnitude which have their sines equal to a +ive quantity  then the value of

Q5

The equation  possesses a solution if

Q6

The number of values of x in the interval  satisfying the equation  is

Q7

The number of solutions of the equation

Q8

If n be the number of solutions of the equation

, then n =

Q9

The values of x between 0 and  which satisfy the equation

are in A.P. The common difference of the A.P.

Q10