Home
Class 14
MATHS
Consider the following statements in res...

Consider the following statements in respect of positive odd integers x and y :
1. `x^2 +y^2` is even integer.
2. `x^2+y^2` is divisible by 4.
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider the following statements: 1. The coefficient of correlations r is (3)/(4) . 2. The means of x and y are 3 and 4 respectively. Which of the above statements is/are correct ?

Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider the following statements : 1. The regression line of y on x is y = (3)/(4) x +2 2. The regression line of x on y is x = (3)/(4) y + (1)/(4) . Which of the above statements is/are correct ?

Check whether the following statement are true or not: p: If x and y are odd integers, then x+y is an even integer.

Consider the following statements : 1. Of two consecutive integers, one is, even. 2. Square of an odd integer is of the form 8n + 1. Which of the above statements is/are correct ?

Check whether the following statement is true or not: If x and y are odd integer,shten xy is an odd integer

Consider the following statements in respect of three 3-digit numbers, XYZ, YZX and ZXY : 1. The sum of the numbers is not divisible by (X+Y+Z) . 2. The sum of the numbers is divisible by 111. Which of the above statements is/are correct ?

Consider the following in respect of the equation y =(sqrt(x-1))^(2)/(x-1) 1 y=1 if x gt1 2 y=-1 if x lt 1 3 y exist for all values of x Which of the above statements is/are correct ?

Consider the following statements: 1. Parallelism of lines is an equivalence relation. 2. x R y, if x is a father of y, is an equivalence relation. Which of the statements given above is/are correct?

Consider the following statements : 1. The equation 1990x-173y=11 has no solution in integers for x and y. 2. The equation 3x-12y=7 has no solution in integers for x and y Which of the above statemets is/are correct?