If x is a natural number.If `x^2+ax+b` is a perfect square prove that `a^2=4b`.

If x is a natural number.if x^2+ax+16 is a perfect square which number is 'a'?

Consider sets U,A and B given by U={x:x is a natural number A={x:x is a prime number Write U,A and B in the roaster form.

If x is a natural number What number is to be added to x^2+6x to get a perfect square?

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find A cap B

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find B cap C

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find B cap D

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find A cap C

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find A cap D

If A = {x:x is a natural number},B = {x:x is an even natural number}, C = {x:x is an odd natural number} and D = {x:x is a prime number}, find C cap D

Find the union of each of the following pairs of sets: i) X={1,3,5} Y={1,2,3} ii) A={a, e, i, o, u}, B={a, b, c} 'iii) A={x: x is-a natural number and multiple of 3} B={x: x is a natural number less than 6} iv) 'A={x: x is a natural number and '1 B={x: x is a natural number and '6 v) 'A={1, 2,3}, B= {phi}