The positive integers `p ,q ,a n dr` are all primes if `p^2-q^2=r ,` then find all possible values of `rdot`

The positive integers p ,q ,&r are all primes if p^2-q^2=r , then find all possible values of r

The positive integers p ,q and r are all primes if p^2 − q^2 = r , then possible value of r is 3 (b) 5 (c) 7 (d) 1

The positive integers p ,q and r all are prime if p^2-q^2=r , then possible value of r is 3 (b) 5 (c) 7 (d) 1

If p, q are positive integers, f is a function defined for positive numbers and attains only positive values such that f(xf(y))=x^p y^q , then prove that p^2=q .

If p, q are positive integers, f is a function defined for positive numbers and attains only positive values such that f(xf(y))=x^p y^q , then prove that p^2=q .

If two positive integers m and n are expressible in the form m=p q^3 and n=p^3q^2 , where p ,\ q are prime numbers, then HCF (m ,\ n)=

If two positive integers m and n are expressible in the form m=p q^3 and n=p^3q^2 , where p ,\ q are prime numbers, then HCF (m ,\ n)=

If two positive integers a and b are expressible in the form a =pq^2 and b=p^3q , p and q being prime numbers, then HCF (a,b) is a)pq b)p^3q^3 c)p^3q^2 d)p^2q^2

If two positive integers a and b are expressible in the form a=p q^2 and b=p^3q ; p ,\ q being prime numbers, then LCM (a ,\ b) is (a) p q (b) p^3q^3 (c) p^3q^2 (d) p^2q^2

Let P denotes the plane consisting of all points that are equidistant from the points A(-4,2,1) and B(2,-4,3) and Q be the plane, x-y+cz=1 where c in R . If the angle between the planes P and Q is 45^(@) then the product of all possible values of c is